translate shape a by (3,-3) and label b
select top left coordinate of b

Answers

Answer 1

To translate shape A by (3, -3), the top-left coordinate of shape B would be obtained by adding 3 to the x-coordinate and subtracting 3 from the y-coordinate of shape A. The specific coordinates can only be determined with the knowledge of the original shape A.

To translate shape A by (3, -3), we need to shift each point of shape A three units to the right and three units down. Let's assume the top-left coordinate of shape A is (x, y).

The top-left coordinate of shape B after the translation can be found by adding 3 to the x-coordinate and subtracting 3 from the y-coordinate of shape A. Therefore, the top-left coordinate of shape B would be (x + 3, y - 3).

It's important to note that without knowing the specific coordinates of shape A, I cannot provide the exact values for the top-left coordinate of shape B. However, you can apply the translation by adding 3 to the x-coordinate and subtracting 3 from the y-coordinate of shape A to find the top-left coordinate of shape B in your specific case.

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Related Questions

by convention, when the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results are considered to be

Answers

When the p-value for the difference between the observed experimental outcomes and the expected outcome is less than 5 percent (< 0.05), the experimental results a  to be statistically significant and different from the expected outcome.

The P value is defined as the probability of obtaining a result equal to or more extreme than what was observed. The P stands for probability. The p-value represents the probability of the occurrence of a given event. To put it more simply the p-value refers to the percentage of experiments in which the sample differences are larger or smaller than an observed value.

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4,5,10,8,4,8,7,6 range

Answers

10 meaning the biggest number and then subtract by 4 since it’s the lowest number and you get 6.

Answer:

10-4=6

Step-by-step explanation:

The range is the difference between the biggest and smallest number. In this case, 10 is the biggest number and 4 is the smallest. So we do 10-4, which gives us 6, so 6 is the range.

What proportion of these candy bars have fewer than 200 calories? (round your answer to two decimal places.)

Answers

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information.

To calculate the proportion of candy bars with fewer than 200 calories, we need to know the total number of candy bars and the number of candy bars that have fewer than 200 calories.

Without this information, we cannot determine the proportion. The number of candy bars with fewer than 200 calories could vary greatly depending on the specific dataset or context.

The proportion of candy bars with fewer than 200 calories cannot be determined without additional information regarding the total number of candy bars and the number of candy bars that fall into that category.

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(c) A non-uniform but spherically symmetric charge distribution has a charge density: rho(r)=rho 0

(1−r/R)
rho(r)=0

for r≤R
for r>R

where rho 0

=3Q/πR 3
is a positive constant. Show that the total charge contained in this charge distribution is Q. [4] Show that the electric field in the region r>R is identical to that created by a point charge Q at r=0 [2] Derive an expression for the electric field in the region r≤R. [5]

Answers

To show that the total charge contained in the charge distribution is Q, we integrate the charge density over the entire volume. The charge density is given by:

ρ(r) = ρ₀(1 - r/R) for r ≤ R,

ρ(r) = 0 for r > R,

where ρ₀ = 3Q/πR³.

To find the total charge, we integrate ρ(r) over the volume:

Q = ∫ρ(r) dV,

where dV represents the volume element.

Since the charge density is spherically symmetric, we can express dV as dV = 4πr² dr, where r is the radial distance.

The integral becomes:

Q = ∫₀ᴿ ρ₀(1 - r/R) * 4πr² dr.

Evaluating this integral gives:

Q = ρ₀ * 4π * [r³/3 - r⁴/(4R)] from 0 to R.

Simplifying further, we get:

Q = ρ₀ * 4π * [(R³/3) - (R⁴/4R)].

Simplifying the expression inside the parentheses:

Q = ρ₀ * 4π * [(4R³/12) - (R³/4)].

Simplifying once more:

Q = ρ₀ * π * (R³ - R³/3),

Q = ρ₀ * π * (2R³/3),

Q = (3Q/πR³) * π * (2R³/3),

Q = 2Q.

Therefore, the total charge contained in the charge distribution is Q.

To show that the electric field in the region r > R is identical to that created by a point charge Q at r = 0, we can use Gauss's law. Since the charge distribution is spherically symmetric, the electric field outside the distribution can be obtained by considering a Gaussian surface of radius r > R.

By Gauss's law, the electric field through a closed surface is given by:

∮E · dA = (1/ε₀) * Qenc,

where ε₀ is the permittivity of free space, Qenc is the enclosed charge, and the integral is taken over the closed surface.

Since the charge distribution is spherically symmetric, the enclosed charge within the Gaussian surface of radius r is Qenc = Q.

For the Gaussian surface outside the distribution, the electric field is radially directed, and its magnitude is constant on the surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q,

Simplifying:

E = Q / (4πε₀r²).

This is the same expression as the electric field created by a point charge Q at the origin (r = 0).

To derive an expression for the electric field in the region r ≤ R, we can again use Gauss's law. This time we consider a Gaussian surface inside the charge distribution, such that the entire charge Q is enclosed.

The enclosed charge within the Gaussian surface of radius r ≤ R is Qenc = Q.

By Gauss's law, we have:

∮E · dA = (1/ε₀) * Qenc.

Since the charge distribution is spherically symmetric, the electric field is radially directed, and its magnitude is constant on the Gaussian surface. Hence, E · dA = E * 4πr².

Plugging these values into Gauss's law:

E * 4πr² = (1/ε₀) * Q.

Simplifying:

E = Q / (4πε₀r²).

This expression represents the electric field inside the charge distribution for r ≤ R.

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If a customer rolls the dice and rents a second movie every Thursday for 30 consecutive weeks, what is the approximate probability that the total amount paid for these second movies will exceed $15.00?

Answers

Complete Question:

Every Thursday, Matt and Dave's Video Venture has "roll-the-dice" day. A customer may choose to roll two fair dice and rent a second movie for an amount (in cents) equal to the numbers uppermost on the dice, with the larger number first. For example, if the customer rolls a two and a four, a second movie may be rented for $0.42. If a two and a two are rolled, a second movie may be rented for $0.22. Let X represent the amount paid for a second movie on roll-the-dice day. The expected value of X is $0.47 and the standard deviation of X is $0.15

Answer:

0.14

Step-by-step explanation:

Given that :

Expected value = 0.47

Standard deviation = 0.15

Sample size, n = 30

The mean = expected value * sample size

Mean = 0.47 * 30 = 14.1

Standard deviation of sample = σ / √n

0.15 = σ/√30

σ = 0.8216

P(x > 15) :

Z = (x - mean) /standard deviation

Z = (15 - 14.1) / 0.8216 = 1.095

P(Z > 1.095) = 0.1367

P(Z > 1.095) = 0.14

Colleen compared the ratios 3:8 and One-half. Her work is shown below.

Answers

Answer:

What do u mean??

Step-by-step explanation:

Step-by-step explanation:

Can you write the questions carefully that we can understand

Can you please help me

Can you please help me

Answers

Answer:

\(4\)

Step-by-step explanation:

First we are going to find the slope for \(l_{1}\).

We are going to use the letter 'm' for slope.

\(m=\frac{y_{2_{} } -y_{1} }{x_{2} -x_{1} }\)

\(m= \frac{5-1}{-2-(-3)}\)

\(m=\frac{4}{1}\)

\(m=4\)

Now, since \(l_{1}\) and \(l_{2}\) are parallel, their slopes should be the same.

Since the slope for \(l_{1}\) is 4, the slope for \(l_{2}\) must also be 4.

which equations has a solution for - 2/3 for x
A 3x=2
B x-1 =- 1/3
C x - 1/3 = 1
D 12x = -8

Answers

D

A = it will be-2
B: it will be-2/3-1 =-1 2/3

Answer:

D. 12x = -8

Step-by-step explanation:

D. 12(-2/3) = -8

-24/3 = -8

-8 = -8

Evaluate -31-8+31−31−8+31minus, 31, minus, 8, plus, 31.

Answers

Answer:

-24

Step-by-step explanation:

- 24

-8 -31 -8 + 31 - 31 -8 + 31

-8 -8 - 31 - 8 - 31

-8 -8 -8

-24

Estimate ∫20(4x2−2x)dx= using a left Reimann Summ and 4 equal subintervals

Answers

The left Riemann Sum approximation for the integral of 20(4x² - 2x)dx over the interval [0, 20] with four equal subintervals is 165250.

In calculus, the integral is a mathematical tool that allows us to find the area under a curve. It is an important concept that is used in many fields of science and engineering. One way to estimate the value of an integral is by using a Riemann Sum, which involves dividing the region under the curve into small rectangles and adding up their areas.

In this case, we will be using a left Riemann Sum with four equal subintervals to estimate the integral of 20(4x² - 2x)dx.

To use a left Riemann Sum, we need to first divide the interval of integration into equal subintervals. In this case, we have four subintervals of width

=> (b - a)/n = (20 - 0)/4 = 5.

The left endpoint of each subinterval will be used as the height of the rectangle that represents the area under the curve in that subinterval.

Next, we need to evaluate the function 20(4x² - 2x) at the left endpoints of each subinterval. These values will be used as the heights of the rectangles. The left endpoints are 0, 5, 10, and 15, so we have:

f(0) = 20(4(0)² - 2(0)) = 0

f(5) = 20(4(5)² - 2(5)) = 1900

f(10) = 20(4(10)² - 2(10)) = 7200

f(15) = 20(4(15)² - 2(15)) = 15150

We can now find the area of each rectangle by multiplying its height by its width (5). The total area is the sum of these areas:

(0)(5) + (1900)(5) + (7200)(5) + (15150)(5) = 165250

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Can the sides of a triangle have lengths 13, 5, and 16?

Answers

Answer:

Yes

Step-by-step explanation:

13 + 5 > 16
16 - 3 < 5
Yes :D

Tekan-Tekan Sdn. Bhd. has order for 200 Model AS-120 calculator for delivery on day 200. The calculator consists of three parts. Components 2 and 3 form subassembly 1 . Sub-assembly 1 and component 4 form the final assembly. Following are the work centers and times of each operation. Table Q3(a) shows routine file of the operation. Assuming: - Only one machine is assigned to each operation - The factory works on 8-hour shift, 5 days a week - All parts move in one lot of 200. (a) Illustrate the backward schedule based on the information given above. (12 marks) (b) Identify when component 3 must be started to meet the delivery date. (2 marks)

Answers

Component 3 must be started on day 197 to meet the delivery date of day 200.

To illustrate the backward schedule, we need to start from the delivery date (day 200) and work our way backward, taking into account the lead times and dependencies of each operation.

(a) Backward schedule:

Operation    |  Work Center  |  Time (hours)  |  Start Day

--------------------------------------------------------

Final Assembly |   Work Center 1  |        1       |     200

Sub-assembly 1 |   Work Center 2  |        2       |     199

Component 4     |   Work Center 3  |        3       |     197

Component 2     |   Work Center 4  |        4       |     196

Component 3     |   Work Center 5  |        3       |     ????

(b) To identify when component 3 must be started to meet the delivery date, we need to consider its dependencies and lead times.

From the backward schedule, we see that component 3 is required for sub-assembly 1, which is scheduled to start on day 199. The time required for sub-assembly 1 is 2 hours, which means it should be completed by the end of day 199.

Since component 3 is needed for sub-assembly 1, we can conclude that component 3 must be started at least 2 hours before the start of sub-assembly 1. Therefore, component 3 should be started on day 199 - 2 = 197 to ensure it is completed and ready for sub-assembly 1.

Hence, component 3 must be started on day 197 to meet the delivery date of day 200.

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This figure represents a small doorstop. The plan is to paint 40% of the total surface area, including the bottom face, of the doorstop with blue paint.

How much surface area will be painted blue?
A. 6200 cm²
B. 3720 cm²
C. 2232 cm²
D. 1488 cm²

This figure represents a small doorstop. The plan is to paint 40% of the total surface area, including

Answers

The surface area painted blue will be 1,488 square cm.

The correct option is: (D)

What is surface area?

Surface area is the amount of space covering the outside of a three-dimensional shape.

We have, The plan is to paint 40% of the total surface area.

The surface area is :

Surface Area = (17 + 17 + 18 + 30 + 18) x 24 + 8 x 30 + 2 x 30 x 18

Surface Area  = 100 x 24 + 8 x 30 + 60 x 18

Surface Area = 2400 + 240 + 1080

Surface Area = 3720 square cm

Blue paint will be applied to 40% of the overall surface area of the doorstop, including the bottom face then

= 0.40 x 3720

= 1488 square cm

Therefore, the surface area painted blue will be 1,488 square cm.

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I need help It’s a little stressful

I need help Its a little stressful

Answers

Yes, m∠ABC and m∠XYZ are congruent

No, lines FG and DE are not congruent

Yes, OR and OS are congruent

Yes, 2∠ and ∠4 are congruent.

What are congruent angles and line segments

Congruent angles are angles that have the same measure, in degrees and are often represented by the symbol "≅". While congruent line segments are two or more line segments that have the same length.

m∠XYZ = 180° - 140° {supplementary angles}

m∠XYZ = 40°

so;

m∠ABC and m∠XYZ are congruent

line FG = and line DE =

so;

FG and DE are not congruent

OR = 2in and OS = 2in

so;

OR and OS are congruent

∠2 and ∠4 are vertical angles and are equal so;

2∠ and ∠4 are congruent

Therefore, (m∠ABC and m∠XYZ), (2∠ and ∠4), and (OR and OS), are two pairs of angles and line segments respectively which are congruent, while the lines segments FG and DE are not congruent.

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5 1/8 + 14/8 =
maths workout plz

Answers

Answer:

6 7/8

Step-by-step explanation:

15/8 reduces to 1 7/8. add the 5

if Sₙ is the nth partial sum of the infinite series [infinity]∑ₙ₌₁ aₙ , and n>3 , which of the following is true?
a. aₙ = Sₙ₋₁ - Sₙ₋₂
b. aₙ = Sn - Sₙ₋₁
c. aₙ = Sₙ₊₁ - Sₙ
d. aₙ = Sₙ₊₁ - Sₙ₋₁

Answers

The correct statement is option (d): aₙ = Sₙ₊₁ - Sₙ₋₁.  The nth partial sum, Sₙ, represents the sum of the first n terms of the infinite series ∑ₙ₌₁ aₙ. We are given that n > 3.

To determine the relationship between the nth term, aₙ, and the partial sums, we can examine the pattern of the series. Looking at the options, we observe that option (d) is the difference between Sₙ₊₁ and Sₙ₋₁.

Let's consider an example to understand why this is the correct choice. Suppose we have the series 1 + 2 + 3 + 4 + 5 + ... and we want to find the relationship between the terms and the partial sums. The partial sums would be 1, 3, 6, 10, 15, ... We can see that the difference between consecutive partial sums is 2, 3, 4, 5, ... which corresponds to the terms of the series. Thus, aₙ = Sₙ₊₁ - Sₙ₋₁.

In general, for any infinite series with n > 3, the correct relationship between the nth term, aₙ, and the partial sums, Sₙ, is given by aₙ = Sₙ₊₁ - Sₙ₋₁, which is option (d).

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when x is a dummy variable, there will be no difference in ols estimators between quadratic and cubic regression models. a. true b. false

Answers

The dummy variable is used to capture the effect of the categorical variable and it has no effect on the quadratic or cubic relationship between the independent and dependent variable.

When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. This statement is true.OLS stands for Ordinary Least Squares regression. It is a statistical method used to determine the relationship between one or more independent variables (predictors) and a dependent variable. The OLS regression method minimizes the sum of squared residuals (differences between actual and predicted values).Dummy variables are used in regression analysis to represent categorical variables.

These are represented by a variable with a binary value of 1 or 0, depending on whether the observation falls in that category or not. This variable is used to represent a categorical variable in regression analysis so that the model can capture the effect of that variable in the analysis.In regression analysis, the regression model is a function of the independent variable, also called the predictor variable, and the dependent variable. A quadratic regression model is a polynomial regression model of degree 2. It means that the relationship between the dependent and independent variable is a quadratic function.

A cubic regression model is a polynomial regression model of degree 3. It means that the relationship between the dependent and independent variable is a cubic function. When x is a dummy variable, there will be no difference in OLS estimators between quadratic and cubic regression models. The OLS estimators will be the same because the dummy variable will have no effect on the fit of the model. Hence, this statement is true.

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What is the surface area of the box shown by the pattern below?

What is the surface area of the box shown by the pattern below?

Answers

Solution:

Given the figure below:

The above figure, when closed, results into a cuboid.

This can be proven in the diagram below:

where the cuboid has

\(\begin{gathered} \text{length}=7\text{ units} \\ \text{width}=5\text{ units} \\ \text{height}=2\text{ units} \end{gathered}\)

The surface area of a cuboid is expressed as

\(\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ \text{where} \\ L\Rightarrow\text{length} \\ W\Rightarrow\text{width} \\ H\Rightarrow\text{height} \end{gathered}\)

Thus, the surface area of the cuboid is evaluated as

\(\begin{gathered} \text{Area = 2(L}\times W)+2(L\times H)+2(H\times W) \\ =2(7\text{ units}\times5\text{ units)+2(7 units}\times2\text{ units)+2(2 units}\times5\text{ units)} \\ =2(35\text{ square units)+2(14 square units})+2(10\text{ square units)} \\ =(70+28+20)\text{ square units} \\ =118\text{ square units} \end{gathered}\)

Hence, the surface area of the box is

\(118\text{ square units}\)

The correct option is D.

What is the surface area of the box shown by the pattern below?
What is the surface area of the box shown by the pattern below?

There are 44,000 adults living in Oak city in examining attitudes according to the news of research group as random sample of Oak city adults what is your main source of news the results are shown below based on the sample predict the number of adults in Oak city whose main source of the news is television on your answer to the nearest whole number do not run by any intermittent calculations

Answers

The predicted number of adults in Oak City whose main source of news is newspapers or the radio is 85

To predict the number of adults in Oak City whose main source of news is newspapers or the radio, we need to add the number of adults who answered "Newspapers" to the number of adults who answered "Radio".

According to the sample data

Number of adults who answered "Newspapers": 64

Number of adults who answered "Radio": 21

Therefore, the predicted number of adults in Oak City whose main source of news is newspapers or the radio we have to use the addition

64 + 21 = 85

Rounding this answer to the nearest whole number, we get

85 ≈ 85

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The given question is incomplete, the complete question is:

There are 44,000 adults living in Oak City. In examining attitudes toward the news, a research group asked a random sample of Oak City adults "What is your main source of news?" The results are shown below. Main Source of News Newspapers Number of Adults 64 Internet 80 Television 126 Radio 21 Other 40 Based on the sample, predict the number of adults in Oak City whose main source of news is newspapers or the radio. Round your answer to the nearest whole number.




Q:) for sop expression \( A \bar{B} C+\bar{A} B C+A B \bar{C} \); hav many l's ore in the turth table output cdumn? (A) 1 (B) 2 (c) 3 (D) 5

Answers

the correct answer is (D) 5. the total number of literals (l's) in the truth table output column is 5.

To determine how many literals (l's) are present in the truth table output column for the SOP expression \(\( A \bar{B} C+\bar{A} B C+A B \bar{C} \)\), we need to count the total number of unique variables and their negations in the expression.

The variables present in the expression are A, B, and C. Additionally, we have the negations of B and C.

Therefore, the total number of literals (l's) in the truth table output column is 3 (A, B, C) + 2 (negations of B and C) = 5.

Therefore, the correct answer is (D) 5.

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Complete question is below

for SOP expression  \(\( A \bar{B} C+\bar{A} B C+A B \bar{C} \)\); how many l's are in the truth table output?

(A) 1 (B) 2 (c) 3 (D) 5

What is the equation of the line calculator?

Answers

Frequently Asked Questions about Line Equation Calculator There are three types of linear equations: The standard form is Ax + By = C. y= mx + b is the slope intercept form. Form of a Point Slope: y -y1 = m (x – x1)

Linear equations are classified into three types: point-slope, standard, and slope-intercept. When you know the slope of the line to be investigated and the point supplied is also the y intercept, you may utilise the slope intercept formula y = mx + b. (0, b). The y value of the y intercept point is represented by b in the formula.

To graph this line, we must first determine the slope and the y-intercept. The equation is expressed in slope-intercept form, y= mx+b, where m represents the slope and b represents the intercept.

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A basketball player makes 95 out of 140 free throws. We should estimate the probability that the player makes the next free throw to be

Answers

Since the player makes 95 out of 140 free throws, the probability that he makes the next free throw is:

\(\frac{95}{140}\approx0.6786.\)

Answer: 67.86%

If A and B are ANY two sets with ACB, determine the truth-values of the following statements. If a statement is false, give specific examples of sets A and B that serve as a counter-example (3 pts each). a. If (B\A) = Ø, then ACB b. If Ac B, then (B\A) Ø

Answers

If A and B are ANY two sets with ACB,

a. The statement is false.

b. The statement is false.

This statement is true. If the set difference (B\A) is empty, it means that every element in B is also in A. In other words, A is a subset of B (A ⊆ B).

Counter-example:

Let A = {1, 2} and B = {1, 2, 3}. In this case, (B\A) = {3}, which is not empty. Therefore, the statement is false.

b. If Aᶜ ⊆ B, then (B\A) = Ø.

This statement is false. If the complement of A, Aᶜ, is a subset of B, it does not necessarily imply that (B\A) is empty.

Counter-example:

Let A = {1, 2} and B = {1, 2, 3}. In this case, Aᶜ = {3}, which is a subset of B. However, (B\A) = {3}, which is not empty. Therefore, the statement is false.

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Please help with this question

Please help with this question

Answers

Answer:

A

Step-by-step explanation:

When the temperature has a negativ sign on it, it is below zero

When the temperature is a natural number, it is above zero

Answer: above zero

Step-by-step explanation:

Because if it was below zero there would be a negative Infront of the number so show it’s below zero but there’s not, so I’m pretty sure it would be above zero. I hope this helps

Someone plz help me!
Giving brainliest ❤️

Someone plz help me!Giving brainliest

Answers

Answer: 4 4.75 4.50 4.50

Step-by-step explanation:

Answer: 3, 3 1/2, 4 1/2, 5

Solve the equation for x
√√x+5-3-4
Ox=2
Ox=12
Ox=44
Ox=53
help!!

Solve the equation for xx+5-3-4Ox=2Ox=12Ox=44Ox=53help!!

Answers

Answer:    X  =  44

       Hence, OPTION (C) is your answer:  X  =  44

Step-by-step explanation:

SOLVE FOR X:

       √x + 5 - 3 = 4

Isolate

        √x +  5   =  3  +  4

        √x +  5   =   7

Squared Both Sides:

         (√x  +   5)2     =     (7)2

            x   +   5         =   49

Rearranged:

        x   -  44     =   0

             +44      =   44

       X                =   44

Add 44 on both sides:Now we conclude!  

       Hence,  X  =  44

Draw The conclusion: Check

        Equation: √x  +  5  =  7

Now we Plug in 44 for  x

      √(44)  +  5  =  7

Now Simplify

    √49  =   7

     Conclusion checks    Solution is:

            Hence,   x   =   44

        I hope this helps!

A coach is buying snacks for 22 players at a soccer match. She pays a total of $77 to
buy each player a bottle of water and an energy bar. The price of one energy bar is $2.
Let w equal the price of a bottle of water. Write an equation that
represents the situation.

Answers

Answer: 22( w + 2 ) =77 and the amount of the water bottle would be 1.50

Step-by-step explanation: i dont know what to write??

The quadratic function f(x) has a vertex at (5,-5) and opens downward.

If g(x) = (x + 5)2 + 5, which statement is true?


A. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = -5.

B. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = -5.

C. The axis of symmetry of f(x) is x = 5, and the axis of symmetry of g(x) is x = 5.

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is x = 5.

The quadratic function f(x) has a vertex at (5,-5) and opens downward.If g(x) = (x + 5)2 + 5, which statement

Answers

Answer:

The correct answer is A.

Step-by-step explanation:

We're told that f(x) has its vertex at 5, -5 and opens downward.  This tells us that it's axis of symmetry is x = 5.

The format of the function g(x) shows us that its axis of symmetry is x = -5.  We're shown this because of the (x + 5)² component.

So the correct answer is A.

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5,

the axis of symmetry of g(x) is g(x) = 5.

The quadratic function is a quadratic polynomial that has a parabolic form and a general equation

        g (x) = a x² + bx + c

where a, b, c are the coefficients, x is the independent variable and g the dependent

If the function has real roots it can be written in vertex form

       g (x) = a (x-h) ² + k

where (h, k) are the coordinates of the vertex

The quadratic function has several properties:

The graph of this function opens up if the coefficient "a" is positive and down if it is negative, The axis of symmetry is parallel to the y axis, passing through the vertex of the function The vertex of the parabola corresponds to the maximum or minimum of the curve

The function can be written as a vertex value that cancels the binomial is where the symmetry axis passes

in this case, for the parabola to open downwards, the curve must be:

               g (x) = - (x + 5) ² + 5

this is the expression in vertex form, let's find the value that cancels the binomial,

              x + 5 = 0

              x = -5

at this point where the axis of symmetry passes

The value of the function for this point is

              x = -5

         g (x0 = - (-5 + 5) ² + 5

          g (x) = 5

Using the properties of the quadratic function we can review the different answers, the correct one is

D. The axis of symmetry of f(x) is x = -5, and the axis of symmetry of g(x) is

g(x) = 5

Learn more about quadratic function here:

https://brainly.com/question/21214550

What is the largest positive multiple of $12$ that is less than $350?$

Answers

Answer: 348

Step-by-step explanation: 12*29 = 348, which is the largest multiple less than 350.

what error did the student make?? PLEASE HELP ME

what error did the student make?? PLEASE HELP ME

Answers

Answer:

He did an error because he multiplied equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

Step-by-step explanation:

Given the system of equations

3x-5y=4

-2x+3y=2

This is what student solved

6x - 10y = 8        Multiply equation 1 by 2

-6x + 3y = 6        Multiply equation by 2 by 3

_________

       -7y = 14

          y = -2

He did an error because he multiplied the equation 2 wrongly.

The correct multiplication should have been:

-6x + 9y = 6        Multiply equation by 2 by 3

NOW, HERE IS THE CORRECT VERSION

6x - 10y = 8        Multiply equation 1 by 2

-6x + 6y = 6        Multiply equation by 2 by 3

_________

       -4y = 14

          y = -2/7

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