this table shows values represented by an exponential function. What is the average rate of change for the function for the interval from x=2 to x=4?

Answer:

C. 17

Step-by-step explanation:

The mean weight can be calculated by adding the numbers 15 + 16 + 15 + 13 + 19 + 20 + 21 divided by the number 7, which is the amount of numbers you just added.

(15 + 16 + 15 + 13 + 19 + 20 + 21)/7

the outcome = 17 which corresponds to answer C.

Answer: The answer is C.17

Step-by-step explanation:

Step-by-step explanation:

Step 1:  Solve using the first point

(2, 28)

[tex]28 = a(2)^3 + b(2)^2 + c(2) + d[/tex]

[tex]28 = 8a + 4b + 2c + d[/tex]

Step 2:  Solve using the second point

(-1, -5)

[tex]-5 = a(-1)^3 + b(-1)^2 + c(-1) + d[/tex]

[tex]-5 = -a + b - c + d[/tex]

Step 3:  Solve using the third point

(4, 220)

[tex]220 = a(4)^3 + b(4)^2 + c(4) + d[/tex]

[tex]220 = 64a + 16b + 4c + d[/tex]

Step 4:  Solve using the fourth point

(-2, -20)

[tex]-20 = a(-2)^3 + b(-2)^2 + c(-2) + d[/tex]

[tex]-20 = -8a + 4b - 2c + d[/tex]

Step 5:  Combine the first and fourth equations

[tex]28 - 20 = 8a - 8a + 4b + 4b + 2c - 2c + d + d[/tex]

[tex]8 = 8b + 2d[/tex]

[tex]8 - 8b = 8b - 8b + 2d[/tex]

[tex](8 -8b)/2 = 2d/2[/tex]

[tex]4 - 4b = d[/tex]

Step 6:  Solve for c in the second equation

[tex]-5 + 5 = -a + b - c + d + 5[/tex]

[tex]0 + c = -a + b - c + c + d + 5[/tex]

[tex]c = -a + b + d + 5[/tex]

Step 7:  Substitute d with the stuff we got in step 5

[tex]c = -a + b + (4 - 4b) + 5[/tex]

[tex]c = -a + b + 4 - 4b + 5[/tex]

[tex]c = -a - 3b + 9[/tex]

Step 8:  Substitute d and c into the first equation

[tex]28 = 8a + 4b + 2(-a - 3b + 9) + (4 - 4b)[/tex]

[tex]28 = 8a + 4b - 2a - 6b + 18 + 4 - 4b[/tex]

[tex]28 - 22 = 6a - 6b + 22 - 22[/tex]

[tex]6 / 6 = (6a - 6b) / 6[/tex]

[tex]1 + b = a - b + b[/tex]

[tex]1 + b = a[/tex]

Step 9:  Substitute a, b, and c into the third equation

[tex]220 = 64(1 + b) + 16b + 4(-(1 + b) - 3b + 9) + (4 - 4b)[/tex]

[tex]220 = 64 + 64b + 16b + 4(-1 - b - 3b + 9) + 4 - 4b[/tex]

[tex]220 - 100 = 60b + 100 - 100[/tex]

[tex]120 / 60 = 60b / 60[/tex]

[tex]2 = b[/tex]

Step 10:  Find a using b = 2

[tex]a = b + 1[/tex]

[tex]a = (2) + 1[/tex]

[tex]a = 3[/tex]

Step 11:  Find c using a = 3 and b = 2

[tex]c = -a - 3b + 9[/tex]

[tex]c = -(3) - 3(2) + 9[/tex]

[tex]c = -3 - 6 + 9[/tex]

[tex]c = 0[/tex]

Step 12:  Find d using b = 2

[tex]d = 4 - 4b[/tex]

[tex]d = 4 - 4(2)[/tex]

[tex]d = 4 - 8[/tex]

[tex]d = -4[/tex]

Answer:  [tex]a = 3, b = 2, c = 0,d = -4[/tex]

Answer:

a = 3

b = 2

c = 0

d = -4

Step-by-step explanation:

Form 4 equations and solve simultaneously

28 = a(2)³ + b(2)² + c(2) + d

28 = 8a + 4b + 2c + d (1)

-5 = -a + b - c + d (2)

220 = 64a + 16b + 4c + d (3)

-20 = -8a + 4b - 2c + d (4)

(1) + (4)

28 = 8a + 4b + 2c + d

-20 = -8a + 4b - 2c + d

8 = 8b + 2d

d = 4 - 4b

Equation (2)

c = -a + b + d + 5

c = -a + b + 4 - 4b+ 5

c = -a - 3b + 9

28 = 8a + 4b + 2c + d (1)

28 = 8a + 4b + 2(-a - 3b + 9) + 4 - 4b

28 = 6a - 6b + 22

6a - 6b = 6

a - b = 1

a = b + 1

220 = 64a + 16b + 4c + d (3)

220 = 64(b + 1) + 16b + 4(-b - 1 - 3b + 9) + 4 - 4b

220 = 60b + 100

60b = 120

b = 2

a = 2 + 1

a = 3

c = -3 - 3(2) + 9

c = 0

d = 4 - 4(2)

d = -4

Answer:

The description that best compares the graph of the two function is:

         The line for function A is steeper.

Step-by-step explanation:

Answer:

The line for function a is a steeper

Step-by-step explanation:

Answer:

4. this would be a positive correlation

5. this has no correlation

Step-by-step explanation:

I hope that was the answer you are looking for

Answer:

The first one has a positive association. You can see that if you were to make a like marking the average rate of change, it would be positive.

For the second one, it would actually be both positive and negative. But Since it does both, it has no correlation.

Step-by-step explanation:

Answer:

140 ft squared

Step-by-step explanation:

Answer:

140 ft

Step-by-step explanation:

10 × 14 = 140 so the answer is 140 ft

Answer:

d

Step-by-step explanation:

to find the surface area you have to add all the following numbers and double them

hope this helps

Answer:

D, if it is correct plz say thanks to let me know it is correct

Step-by-step explanation:

Answer:

G equilateral

Step-by-step explanation:

scalene = all the sides of the triangle are not equal

isosceles = two sides of the triangle is equal

Answer should be equilateral = All the sides of the triangle is equal.

F H J are not describing any triangle.

Answer:G equilateral

Step-by-step explanation:

^///^

Answer:

undefined

Step-by-step explanation:

Answer:

The answer is 27 If not please correct me!

Answer:

27

Step-by-step explanation:

You need to plug 100 in for m and multiply that. Then you need to add 7 to 20 to get your answer.

Hope this help.

Answer:

R=-3 which is the same thing as 11/2

Step-by-step explanation:

Answer:

r=−3,11/2

Step-by-step explanation:

thats what I got

Answer:

six half page ads and three full page ads

Step-by-step explanation:

6*145= 870

3*260= 780

870+780= 1650

Answer:

Volume of a sphere = 17.164 m³ (Approx)

Step-by-step explanation:

Given:

Diameter of a sphere = 3.2 m

Radius of a sphere = Diameter / 2 = 3.2 / 2 = 1.6 m

Find:

Volume of a sphere = ?

Computation:

[tex]Volume\ of\ a\ sphere =\frac{4}{3}\pi \times r^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7} \times (1.6)^3 \\\\Volume\ of\ a\ sphere =\frac{4}{3}\times \frac{22}{7} \times 4.096\\\\Volume\ of\ a\ sphere =17.164[/tex]

Volume of a sphere = 17.164 m³ (Approx)

Answer:

17.2

Step-by-step explanation:

Answer:

-2/5

Step-by-step explanation:

Parallel lines have the same slope to each other. So if one line has a slope of -2/5, the line parallel to it will also have a slope of -2/5.

Hope this helps!

Answer:

-2/5

Step-by-step explanation:

The slope of the parallel line is going to be the same as the original line.

Answer: J and K

Step-by-step explanation:

[tex]\sqrt{20}[/tex] is about [tex]4.472135[/tex]

Answer:

J and K

Step-by-step explanation:

√20=4.47

4.47 is almost in between J and K in the number line.

Hence, it's J and K.

Answer: The answer is 2. Go open of the x line 2 then it lines up with the y.

Answer:

I thought it was 1

Step-by-step explanation:

Answer:

c

Step-by-step explanation:

Answer:

The Correct Answer is in fact C : x= -4y^2 -24y -30

Step-by-step explanation:

If you look at the image I attached you can see that C is the only one touching those point

Don't forget to like :)

Answer:

8 and 9

Step-by-step explanation:

8 comes after 9 and 8 + 9 = 17

Answer:

I think its 26,I think I'm not right,but still,I wanna help...

What are the advantages of the parametric equations

Answer:

Step-by-step explanation:

Parametric equations shows the relation between a group of quantities by expressing the coordinates of points of a curve and function as one or more independent variables.

From  the question given; the advantages of parametric equations  given

x = 1 + 6 cos t

y= -2 + 6 sin t

are :

1) For a given value of the independent variable the parametric equation is used exactly one point on the graph

2) the parametric equations  have a finite domain

3) the parametric equation is easier to enter into a calculator for graphic

Answer:

That dude was wrong on one of them!

A, C, E

Answer:

No, the probability of choosing a red marble is not the complement of choosing a blue marble.

P(red) + P(blue) = 3/5, not 1.

The number of blue and red marbles does not add to the total number of outcomes.

There are other marbles besides red ones and blue ones.

Step-by-step explanation:

i got it right.

Answer:

The complementary event for choosing a red marble is choosing a blue or purple. The total number of marbles is 5. The probability of choosing a red marble is 1/5, and the complement would be 4/5. That is not the same as choosing a blue marble.

I hope this helps you

Answer:

Subtraction.

Step-by-step explanation:

You Subtract 6 on both sides first and then you multiply the denominator which is 11 to the other side of the equal sign.

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

= 10

Answer:

Step-by-step explanation:

-13 - 23 = -13 + (-23)

= -36

-13 - (-23) = -13 + 23

=10

Answer:

The answer is I, II, and III.

Step-by-step explanation:

Answer: I , II , III

Step-by-step explanation:

Step-by-step explanation:

f(x) = 1/3|x|

then

f(x) = 1/3x  , if x ≥ 0

and

f(x) = -1/3x  , if x ≤ 0

the slope of f(x) = 1/3x is 1/3

the slope of f(x) = -1/3x is -1/3

this two above conditions apply on to the fourth graph to the right.

Answer: the answer is B

Step-by-step explanation:

14+6 is 16. Add 88 to 16 and you get 104. 200-104=96.

The two-frequency table that correctly shows the marginal frequencies of the given data is: B.

In a two-way frequency table, the marginal frequency is simply the the sum of any one of the columns or rows in a data.

In table B, 14 + 6 equals 16, so also does 88 + 16 = 104. Subtract 104 from 200, and you have 96.

Therefore, table B correctly shows the marginal frequencies.

Learn more about marginal frequencies on:

https://brainly.com/question/16377212

#SPJ2

Answer:

3 units to the right

Step-by-step explanation:

Given f(x) then f(x + a) represents a horizontal translation of f(x)

• If a > 0 then a shift of a units to the left

• If a < 0 then a shift of a units to the right

Thus

g(x) = (x - 3)² is f(x) shifted to the right by 3 units

Answer:

127

Step-by-step explanation:

Answer:

x= 127 degrees

Step-by-step explanation:

use the vertical angles theorem to say that x=90*+37*. So, x=127 degrees.