Question 9 of 10
Which describes the graph of y = (x + 7)2 - 9?
=
O A. Vertex at (7.-9)
B. Vertex at (7,9)
C. Vertex at (-7, -9)
D. Vertex at (-7,9)
SUBMIT

The value of x in the 45-45-90 triangle is equal to 10√2 units.

The value of y in the 45-45-90 triangle is equal to 10√2 units.

The value of x in the 30-60-90 triangle is equal to 3 units.

The value of y in the 30-60-90 triangle is equal to 3√3 units.

The area of this square is 242 in².

Based on Pythagorean theorem, the length of sides of a right-angled triangle are always in the ratio 1 : 1 : √2, which can be rewritten as follows;

x : x: x√2.

Where:

x represent the length of sides of a right-angled triangle.

From the 45-45-90 triangle, we have:

20 = x√2

x = 20/√2 × (√2/√2)

x = 10√2 units.

For the 30-60-90 triangle, we have:

y is adjacent side and it can be calculated as follows;

y = hypotenuse/2

y = 6√3/2

y = 3√3 units.

Additionally, x is the side opposite to the 60° angle;

The side opposite to the 60° angle, x = 3√3 × √3

The side opposite to the 60° angle, x = 3 units.

Mathematically, the area of a square can be calculated by using this formula;

Area of square = d²/2

Where:

Area of square = (11 + 11)²/2

Area of square = 22²/2

Area of square = 242 in².

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The correct answer is (d) The price must be replaced with a relative price, and the marginal values must be replaced with the corresponding Marginal Rates of Substitution.

When the value of a public good cannot be expressed in monetary terms, the Samuelson condition still holds, but some modifications are required. In this case, the per-unit price (p) used in the Samuelson condition needs to be replaced with a relative price, which represents the trade-off between the public good and other goods or services. Additionally, the marginal values (MV) of the public good need to be replaced with the Marginal Rates of Substitution (MRS), which measure the rate at which one person is willing to substitute the public good for another good.

Therefore, to determine the efficient level of the public good, the modified Samuelson condition uses a relative price and the corresponding Marginal Rates of Substitution.

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Answer:

C. x = 3

Step-by-step explanation:

8x - 8 = 2x + 10

get the x on it's own

8x - 8 + 8 = 8x

2x + 10 + 8 = 2x + 18

8x = 2x + 18

8x - 2x = 6x

2x + 18 - 2x = 18

6x = 18

now divide each side by 6

6x / 6 = x

18 / 6 = 3

x = 3

X=3

Explanation

8x-8=2x+10

6x=18

x=3

Answer:

Step-by-step explanation:

step-by-step

Answer:

-2 or -2/1

Step-by-step explanation:

Since the equation is in y = mx + b form with m equaling the slope, we can see that -2 is in m's place, so -2 is the slope.

Answer:

p/2

Step-by-step explanation:

Written as a fraction, p/2 is the same as p divided by 2.

Answer:

Expression:

4x=12

Change each day: $3

Step-by-step explanation:

The problem tells us that Chinelo's account dropped by $12 over the last 4 days. This means that each day it dropped by $3 (12 divided by 4 = $3).

The expression 4x=12 represents that change.

Answer:

I =2.4 A

Step-by-step explanation:

Ohms law

I = V/R

50 V and 200 mA

The resistance is

200 * 10 ^-3 = 50/ R

R = 50 / 200 ^10^-3

R = 250

The resistance is directly proportional to the length of the wire

R = k * l  where k is the constant and l is the length

250  =   k * l

k = 250 / l

Now we cut the wire in 1/2 so the length is 1/2 l

R = 250/l * 1/2 l

R = 125

Back to Ohms law

I = V/R

I = 300  / 125

I =2.4 A

Answer:

2400 milliamps

Step-by-step explanation:

I = v/r and I is directly porpotional to V and Inversely porporitonal to R. it also says that I is 200 and v is 50 so right now the equation would be 200 = 50/R. So right now that would be 1/4 because 200 * 1/4 = 50. Now we Have 200 = 50/ 1/4. So if we cut the wire in half which means that R will now be 1/8, and V will be 300. The equation now looks like this, I = 300/ 1/8. 300 / 1/8 is really just 300*8/1 which is 2400.

2400 = 300/ 1/8

The correct order of the given functions from lowest to the highest growth is: 0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

The given functions are listed below according to their order of growth from the lowest to the highest:

Therefore, the correct order of the given functions from lowest to the highest growth is:

0.5(0.3) < (n-2)! < 10 log (n+100) < 100(log²n + 3logn² + 0.0052√√n) < 3n+1 < n² < 1000 nlogn + 50 < (2²n) < In² n.

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The value of α = 0.26 finding by using normal distribution.

A normal distribution is an arrangement of a data set in which most values cluster in the middle of the range and the rest taper off symmetrically toward either extreme.

Given that,

confidence level = 74%

alpha = ?

The significance level α is the probability of making the wrong decision when the null hypothesis is true. Alpha levels which is also called as significance levels are used in hypothesis tests.

Mathematically, the value of α is determined by subtracting the level of confidence from 1, and then writing the result as a decimal.

As the confidence level is given as 74%, so the significance level would be,

α  = 1 - confidence level

 =  1 - 0.74

α = 0.26

Hence, The value of α = 0.26.

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The equation is a linear combination of three angles that add up to 180°, he might consider using systems of linear equations or other algebraic methods to solve for the variables.

given that za + 2d + g = 180°, some observations that could potentially be useful to Jason include:

Identifying any relationships or constraints between the variables za, d, and g that might help him simplify or solve the equation. For example, if he knows that za and g are complementary angles (i.e., they add up to 90°), he could substitute 90 - za for g in the equation to get a new expression in terms of za and d.

Using additional information about the angles or the situation to derive new equations or constraints that could help him solve for one or more variables. For example, if he knows that za and d are equal (i.e., za = d), he could substitute za for d in the equation to get a new expression in terms of za and g.

Identifying any patterns or structures in the equation that might suggest a particular approach or technique for solving it. For example, if he notices that the equation is a linear combination of three angles that add up to 180°, he might consider using systems of linear equations or other algebraic methods to solve for the variables.

Ultimately, the most effective observations for completing the proof will depend on the specific details of the problem and the approach that Jason is taking.

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The complete question:Jason knows that za + 2d + g = 180°. Which of the following observations, if true, would allow him to prove a statement or theorem related to the angles za, d, and g?

On solving the provide question, we can say that by unitary method McCall would need to drive 126 miles  in order to make renting from Company B a better deal

The unit technique is an approach to problem-solving that involves first determining the value of a single unit, then multiplying that value to determine the required value. The unit method, to put it simply, is used to extract a single unit value from a supplied multiple. For instance, 40 pens would cost 400 rupees, or the price of one pen. The process for doing this may be standardized. a single country. anything that has an identity element. (mathematics, algebra) (Linear algebra, mathematical analysis, mathematics of matrices or operators) Its adjoint and reciprocal are equivalent.

so, we have -

Company A charges =  $35 per day

plus =  $0.45 per mile.

Company B charges =  $60 per day

plus  = $0.25 per mile.

McCall would need to drive 126 miles  in order to make renting from Company B a better deal

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Answer:

1130 grams

Step-by-step explanation:

1.6kg to grams is 160 0grams so 1600 - 470 = 1130 so she has 1130 grams left.

Answer:

Lena has 1130 grams left.

1.6 kg = 1600 grams

Amount of sugar she used = 470 grams

Amount of sugar she has left = 1600 - 470

= 1130 grams

So, Lena has 1130 grams of sugar left.

:)

Answer:

a. x² + 6x + 9 = -22 + 9

Step-by-step explanation:

they moved the 22 to the right by subtracting it. this leaves a binomial on the left side, which if what you want to solve it.

then they completed the square by dividing b (6) by 2 = 3. then squaring 3 to get 9.

if you added 9 to the left, then you have to add 9 to the right, therefore resulting in -22 + 9.

Answer:

In TTM/Imagine Math it is top left or a.

Step-by-step explanation:

The function that represents the monthly premium for Mikey's insurance including the good student discount is y = 0.071x, where x is the annual premium and y is the monthly premium.

Annual premium is the amount that an insured should pay in a year to hold the insurance policy. These premium values are set by the provider of that insurance after taking into account of all the risk factors of the insured.

Let x be the yearly premium quoted to Mikey to insure his vehicle.

Mikey also qualifies for a 15% good student discount.

So the actual annual premium Mikey has to pay = x - (15%)x

                                                                                = x - (15/100)x

                                                                                = x - 0.15x

                                                                                = 0.85x

Monthly premium Mikey should pay = 0.85x/12

                                                            = 0.071x

Hence the function that represents the monthly premium for Mikey's insurance is y = 0.071x.

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The value of c is 37044.t he expression (3x7)4 can be expanded as (21)4 = 21^4 = 21 × 21 × 21 × 21 = 194481.

The expression cx" can be expanded as c × 10^4 = c × 10000 = 10000c. Therefore, for the two expressions to be equivalent, we must have 194481 = 10000c. Solving for c, we get c = 194481/10000 = 37044.

Here is a more detailed explanation of the steps involved in solving for c:

First, we need to expand the expression (3x7)4. This can be done by multiplying 3 and 7 together to get 21, and then raising 21 to the power of 4. This gives us 21^4 = 194481.

Next, we need to expand the expression cx". This can be done by multiplying c by 10 to the power of 4. This gives us 10000c.

Now that we have expanded both expressions, we can set them equal to each other. This gives us 194481 = 10000c.

Finally, we can solve for c by dividing both sides of the equation by 10000. This gives us c = 194481/10000 = 37044.

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Answer:

rectangular garden

Step-by-step explanation:

Answer:

b. 22

Step-by-step explanation:

1.6 x 14 = 22.4

22.4 rounded is 22

Answer:

by telling them what they got wrong

Step-by-step explanation:

The polynomial to represent the volume of the rectangular prism is:

V = (0.5x - 3) × (x - 4) × (x + 5)

Simplifying this expression gives V = 0.5x³ - 6.5x² - 23x + 60

How to calculate the volume (V) of a rectangular prism?
The volume (V) of a rectangular prism can be calculated using the formula V = l × w × h, where l, w, and h are the length, width, and height of the prism respectively.

Here, the length (l) can be represented by (0.5x - 3), the width (w) can be represented by (x - 4), and the height (h) can be represented by (x + 5).

Therefore, the polynomial to represent the volume of the rectangular prism is:

V = (0.5x - 3) × (x - 4) × (x + 5)

Simplifying this expression gives V = 0.5x³ - 6.5x² - 23x + 60

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Answer:

C B D E A

Step-by-step explanation:

The summation of integers with finite integral power (constant for all integers) up to a finite integer can be evaluated. The correct expressions filled would be in the sequence c,b,d,e,a.

Suppose we take the sum of natural numbers (also called positive integers) raised to power 1, 2, and 3, till the nth integer. Then, their sums are given as shown below:

\(S_1 = 1 + 2 + \cdots + n = \sum_{i=1}^n i = \dfrac{n(n+1)}{2}\\\\S_2 =1^2 + 2^2 + \cdots + n^2 = \sum_{i=1}^n i^2 = \dfrac{n(n+1)(n+2)}{6}\\\\S_3 = 1^3 + 2^3 + \cdots + n^3 = \sum_{i=1}^n i^3 = \left[\dfrac{n(n+1)}{2}\\\right]^2\)

For this case, evaluating the rest of the two summations:

\(\sum_{i=1}^n ca_i = ca_1 + ca_2 + \cdots + ca_n = c(a_1 + a_2 + \cdots + a_n)\\\sum_{i=1}^n ca_i = c\sum_{i=0}^n a_i\)

c was not depending on the variable on which summation is done, which was i. Therefore, it can come out directly.

Thus, whenever we get:

\(\sum_x k f(x)\) where k is not depending on the value of x, then we can take it as:

\(\sum_x k f(x) = k\left(\sum_x f(x) \right)\) (using the distributive property of multiplication over addition).

Similarly, we get:

\(\sum_{i=1}^n c = c + c + \cdots + c \text{ (n times)} = c\times n\\\sum_{i=1}^n ca_i = c.n\)

Thus, the summation of integers with finite integral power (constant for all integers) up to a finite integer can be evaluated. The correct expressions filled would be in the sequence c,b,d,e,a.

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Answer:

draw a a big L and put your numbers

The size of the angle marked x is 40 degrees. To find the value of x, we need to first find the measure of angle BAC. Since ABC is an isosceles triangle, we know that angle BAC is also equal to 110 degrees. Since AE is parallel to BC, we have alternate angles AEB and ABC that are equal. Therefore, angle AEB is also 110 degrees.

Since ACD is a right angle, we know that angle ECD is 90 degrees. Therefore, angle ACE is equal to 180 - 90 - 100 = -10 degrees. However, angles AEC and AEB are supplementary, so we can find the value of angle AEC by subtracting angle AEB (110 degrees) from 180 degrees, giving us 70 degrees.

Finally, we can find the value of x by subtracting angle ACE (−10 degrees) from angle AEC (70 degrees), giving us x = 80 degrees. However, we need to remember that x is an exterior angle of triangle ACD, so its value is equal to the sum of the measures of the two remote interior angles, which are angle ACD (90 degrees) and angle ADC (50 degrees). Therefore, the value of x is 40 degrees.

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Answer:

Ahmed=2/5×200

=400/5

=80

sister=3/5×200

=600/5

=120

Answer: 5/8

Step-by-step explanation:

The minutes that is used by Jaci to run 240 miles is 40 minutes.

Expression simply refers to the mathematical statements which have at least two terms that are related by an operator and contain either numbers, variables, or both. An average is one number chosen to represent a group of numbers; it is typically the sum of the numbers divided by the number of numbers in the group. By adding a group of numbers and then dividing by their count, the average, or arithmetic mean, is determined.

In this case, Jaci runs cross country for her high school. on average she runs 6 minutes per mile.

The minutes used to run 240 miles will be Total minutes divided by Speed:

= Total minutes / Speed

= 240 / 6

= 40 minutes

40 minutes is the amount of time Jaci spent running 240 miles.

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Complete question

jaci runs cross country for her high school. on average she runs 6 minutes per mile. What is the minutes used to ran 240 miles?

Answer:

10x+6

Step-by-step explanation:

simplify step-by-step.

−5x+3+15x+3

Combine Like Terms:

=−5x+3+15x+3

=(−5x+15x)+(3+3)

=10x+6

Answer:

A) 10x +6

Step-by-step explanation:

Add -5 and 15x.

Add 3 and 3

10x +6