Evaluate the expression for a = 4, b = 5, and c = −4. 17 − 7(a − b)2 =

Answer:

hope it helps.

Given the equations a × b = 5742 × 6368, a × c = 5748 × 6362, and c × b = 5738 × 6372, we need to determine the relationship between the three variables a, b, and c.

By comparing the given equations, we notice that the numbers on the right-hand side of each equation are very close to each other, differing only by small amounts. This suggests that a, b, and c are approximately equal.Since a × b, a × c, and c × b involve the same numbers with slight variations, we can conclude that a, b, and c are all very close in value.

Therefore, the inequality we can infer from this information is a ≈ b ≈ c, indicating that a, b, and c are approximately equal.

In simple terms, based on the given equations, it suggests that the values of a, b, and c are very similar or approximately equal to each other.

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if x = 2 we get the answer - 8084, and x = (-5) is 20735. A mathematical equation is a formula that uses the equals sign to represent the equality of two expressions.

The definition of an equation in algebra is a mathematical statement that proves two mathematical expressions are equal.

Consider the equation 3x + 5 = 14, where 3x + 5 and 14 are two expressions that are separated by the symbol "equal."

x = 2

12² + 5(2) - 4122 (2) + 6 = -8084

12² + 5(2) - 4122 (2) + 6

Calculate exponents  12² :144

= 144 + 5(2) - 4122 (2) + 6

Multiply and divide (left to right) 5(2) : 10

= 144 + 10 - 4122 (2) + 6

= 144 + 10 - 8244 + 6

= - 8084

x = -5

12² + 5 (-5) - 4122 (-5) + 6 = 20735

12² + 5 (-5) - 4122 (-5) + 6

12² = 144

Simplifying,

5 (-5) = -25

4122 (-5) = -20610

= 144 - 25 - (-20610) + 6

Then we get,

= -25 - (-20610) = -25 + 20610

= 144 - 25 + 20610 + 6

= 20735

Therefore, if x = 2 we get the answer - 8084, and x = (-5) is 20735

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The two types of frequency distributions are Discrete Frequency Distribution and Grouped Frequency Distribution

The two types of frequency distributions are;

When the data consists of discrete, separate values, this sort of distribution is used. It displays the frequency or number of occurrences of each value.

The data is often expressed in a table with two columns: one for distinct values and another for the frequencies of those values.

This distribution is utilized when the data is continuous and has a wide range of values. It entails categorizing the data into intervals or classes and then calculating the frequency of values that fall within each interval.

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This function written in vertex form include the following: A. f(x) = (x –1)² – 7.

In Mathematics, the axis of symmetry of a quadratic function can be calculated by using this mathematical equation:

Axis of symmetry = -b/2a

Where:

a and b represents the coefficients of the first and second term in the quadratic function.

For the given quadratic function f(x) = x² – 2x – 6, we have:

a = 1, b = -2, and c = -6

Axis of symmetry, Xmax = -b/2a

Axis of symmetry, Xmax = -(-2)/2(1)

Axis of symmetry, Xmax = 2/2

Axis of symmetry, Xmax = 1.

Next, we would determine vertex as follows;

f(x) = x² – 2x – 6

f(x) = 1² – 2(1) – 6

f(x) = -7.

Now, we can write quadratic function in vertex form;

f(x) = a(x - h)² + k

f(x) = (x - 1)² - 7

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Complete Question:

The image shows a geometric representation of the function f(x) = x² – 2x – 6 written in standard form.

What is this function written in vertex form?

f(x) = (x –1)² – 7

f(x) = (x +1)² – 7

f(x) = (x –1)² – 5

f(x) = (x +1)² – 5

The relationship in this problem is not proportional, as there are different ratios between the number of people and the number of cars washed.

A proportional relationship is a relationship in which a constant ratio between the output variable and the input variable is present.

The equation that defines the proportional relationship is a linear function with slope k and intercept zero given as follows:

y = kx.

The slope k is the constant of proportionality, representing the increase or decrease in the output variable y when the constant variable x is increased by one.

The ratios between the output and the inputs are given as follows:

Different ratios, hence the relationship is not proportional.

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The total surface area of the figure will be 1968.85 square meters.

To determine  the surface area of the figure, we need to find the area of each face and then add them together.

Surface Area of the rectangular prism = 2(lb + bh + hl)

= 2(16 × 9.5) + 2(9.5 × 14) + 2(16 × 14)

= 2(152 + 133 + 224) = 2(509)

= 1018 m²

Next, we need to find the area of the triangular prism on the front with dimensions 11 m, 12.7 m, and 14 m:

Surface Area of the triangular prism;

= (11 × 14) + 2(0.5 × 11 × 12.7) + 2(0.5 × 12.7 × 14)

= (154 + 350.35 + 445.5)

= 950.85 m²

Therefore, the total surface area of the figure will be;

Total Surface Area = Surface Area of rectangular prism + Surface Area of triangular prism

= 1018 m² + 950.85 m²

= 1968.85 m²

So, the surface area of the figure is 1968.85 square meters.

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Answer: 12 inches

Step-by-step explanation: 1:10

10:100

12:120

Yeah So each inches is 10 miles so if you use 12 inches then you get 120 miles in the Map that’s my explanation, so try to rewrite your question cause it’s kinda messed up

The length of one edge of the triangular pyramid is 6 cm

The area is given as:

Area = 240 square centimeters

The net of the triangular pyramid consists of:

So, the area of the net is:

Area = 4 * Base * Height

This gives

240 = 4 * L * 10

Divide both sides by 40

L = 6

Hence, the length of one edge of the triangular pyramid is 6 cm

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If 4/10 of Lake Okeechobee is covered in a harmful algal bloom in the first month, then 6/10 of the lake is not covered in the bloom.

In the second month, if 90% of the lake is covered in the bloom, then 10% of the lake is not covered in the bloom.

Since the amount of the lake that is covered by the bloom increased from 4/10 to 9/10, this is an increase of:

(9/10) / (4/10) = (9/10) x (10/4) = 2.25 times

Therefore, the algal bloom increased by 2.25 times.

Answer:

The length is 13 inches.

Step-by-step explanation:

The cost of each shirt is $6 and the cost of each pant for the given condition is $9.

The elimination approach involves taking one variable out of the system of linear equations by utilising addition or subtraction together with multiplication or division of the variable coefficients.

Let us suppose the cost of shirt = x.

Let us suppose the cost of pant = y.

Given that 3 shirts and 3 pants cost $45, this is represented as:

3x + 3y = 45 (equation 1)

1 shirt and 2 pants cost $24, this is represented as:

x + 2y = 24 (equation 2)

Using the elimination method to solve:

Multiply the second equation with 3 and change the signs of all the variables.

(x + 2y = 24) (3)

-3x - 6y = -72 (equation 3)

3x + 3y = 45

Comparing equation 1 and equation 3, the x term is cancelled, and the remaining equation after subtracting both equations is:

- 3y = -27

y = 9

Substitute the value of y in equation 2.

x + 2y = 24

x + 2(9) = 24

x + 18 = 24

x = 24 -18

x = 6

Hence, the cost of each shirt is $6 and the cost of each pant is $9.

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yeah!!!

its value is 0.2

when it has the negative exponential value, it is written as 1/5 which is equal to 0.2

Answer:

n=10

Step-by-step explanation:

Hope this helps! Plz give brainliest!!

Answer:

\(x - y = 0\)

Step-by-step explanation:

Required

The graph equation

From the graph, we have:

\((x_1,y_1) = (0,0)\)

\((x_2,y_2) = (1,1)\)

The slope of the graph is:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

\(m = \frac{1-0}{1-0}\)

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

\(m =1\)

So, the graph equation is:

\(y = m(x - x_1) + y_1\)

\(y = 1 * (x - 0) + 0\)

\(y = 1 * x\)

\(y = x\)

In standard form, we have:

\(x - y = 0\)

the answer to this lovely amazing question would and should be 0.28

Step-by-step explanation:

.

\(y \propto \dfrac 1x\\\\\implies y = \dfrac kx \\\\\implies \dfrac 14 = \dfrac k{8}\\\\\implies k=2\\\\\text{When}~ x =-4\\\\y = \dfrac{k}{x} = \dfrac{2}{-4}= -\dfrac 12\)

Answer:

$706.77 total cost of bicycle

Step-by-step explanation:

$658.99 x .0725 = $47.776   (Move decimal twicw to left to change to decimal)

$658.99 + $47.776 = $706.766 = $706.77

Answer: 4.8%

Step-by-step explanation: the total amount of pens in the drawer is (10+12+3)  = 25

the amount of red pens in the drawer is 3

the probability of picking out a red pen from the drawer = 3/25

the amount of blue pens in the drawer is 10

the probability of picking out a red pen from the drawer = 10/25

the probability of picking out a red pen then a blue pen afterwards = (10/25 x 3/25) = 4.8%

Answer:

19 6j/5

Step-by-step explanation:

Answer:

2x + 3x + 7x = 288

12x = 288

x = 24

The largest number is therefore 7 * 24 = 168

Step-by-step explanation:

Based on the information, the hedgehogs have made the better offer

The Turkeys are offering a yearly salary of S(t) = 90000t over the course of eight years. To calculate the present value of each payment, an equation is used:

PV = S(t) * e^(-rt)

The variable "r" denotes a continuous interest rate of 0.03. "t" equals the years from t=0 to the time of payment. By this method, the current value of the Turkeys' offer can be assessed as follows:

PV(Turkeys) = ∫[0,8] 90000t * e^(-0.03t) dt

= 736,918.63

Comparatively, the Hedgehogs propose a yearly salary of S(t) = 80000t for nine years. Utilizing the formula employed in the previous scenario, the following result is derived:

PV(Hedgehogs) = ∫[0,9] 80000t * e^(-0.03t) dt

= 753,472.49

Given these calculations and the presumption that Rogelio may earn a continuous interest rate of 3% on his funds, it would best serve him to accept the Hedgehogs’ item offer since they have offered him a more favorable contract based on the accumulated present value of both contracts.

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Answer:

False

Step-by-step explanation:

Polygons=2d Shapes

Not all 2d shapes are 4-sided.

Answer: True

Step-by-step explanation:

Polygons can have 3 or more sides so they can be defined also as quadrilaterals depending on the shapes because a quad is 4

Answer: 33.33%

Step-by-step explanation:

Answer:

1, 3, 9, 27

Step-by-step explanation:

1 times 27 = 27

3 times 9 = 27

9 times 3 = 27

27 times 1 = 27

hope this helps!!!

Answer:

1, 3, 9, 27

Step-by-step explanation:

27 = 3³

The factors of 27 are:

1, 3, 9, 27

Steps to solve:

6x + 6 < 4x − 3

~Subtract 6 to both sides

6x < 4x - 9

~Subtract 4x to both sides

2x < -9

~Divide 2 to both sides

x < -9/2

Best of Luck!

Answer:

D) \(x < - \frac{9}{2}\)

Step-by-step explanation:

Isolate the variable, x. Treat the less than sign like an equal sign, what you do to one side, you do to the other.

Subtract 4x and 6 from both sides:

6x (-4x) + 6 (-6) < 4x (-4x) -3 (-6)

6x - 4x < -3 - 6

Combine like terms:

(6x - 4x) < (-3 - 6)

(2x) < (-9)

Isolate the variable, divide 2 from both sides:

(2x)/2 < (-9)/2

x < (-9)/2

D) \(x < - \frac{9}{2}\)  is your answer.

~

Answer:

A. 1.4*20 quarters

B.14

Step-by-step explanation:

A: 1.you start with 20 quarters= 20*1

2.you find 40% of twenty quarters in your room= 4/100*20=0.4*20

3.20*1+20*0.4= 20*1.4

B:20*1.4=28

28*50/100=14

Answer:

176π cm2

Step-by-step explanation:

The Value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC Therefore, AC is Congruent to c .

Since AC and BD bisect each other at O, we can say that AO = OC and BO = OD.

We need to prove that AC = CD.To do this, we can use the segment addition postulate which states that if a line segment is divided into two parts, the length of the whole segment is equal to the sum of the lengths of the two parts.

Let us draw a diagram to represent the given information:From the diagram, we can see that:AO + OB = AB (By segment addition postulate)OC + OD = CD (By segment addition postulate)AO = OC (Given)BO = OD (Given)

Now, we can substitute the values of AO and OC as well as BO and OD into the equations above:AO + OB = AB ⇒ OC + OB = AB (Substituting AO = OC)OC + OD = CDNow, we can add both equations:OC + OB + OC + OD = AB + CD ⇒ 2(OC + OD) = AB + CDWe know that OC = AO and OD = BO.

Therefore, we can write:2(AO + BO) = AB + CDSince AO = OC and BO = OD, we can write:2(OA + OD) = AB + CDNow, substituting AO = OC and BO = OD, we can write:2AC = AB + CD

Finally, we can substitute the value of CD from the second equation into the first equation:2AC = AB + OC + OD⇒ 2AC = AB + AB (By substituting OC = OA and OD = OB)⇒ 2AC = 2AB⇒ AC

Therefore, AC is congruent to c .

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