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3 years ago

Given the following two points, find the Rate of Change for the function. (-2,-1) and (4,5)

Mathematics

1 answer:

horsena [70]3 years ago

5 0

Answer:

(6, 6)

Step-by-step explanation:

(x) 4-(-2) = 6

(y) 5-(-1)= 6

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Does the exponential function, y=(0.15)^x, model exponential growth, or exponential decay?

attashe74 [19]

Answer:it does exponential decay

Step-by-step explanation:

8 0

2 years ago

Will give brainliest!!!! worth lots of ponts plzz anser i need this !!!!!

Nonamiya [84]

Answer:

A; the rate of change is the same

Explanation:

The graph and the table appear to be the same

6 0

3 years ago

Read 2 more answers

A coffee shop collected the following information regarding purchases from 110 of its customers 59 purchased coffee 39 purchased

Andrej [43]

Answer:

Let X be the number of customer purchased coffee

Let Y be the number of customer purchased donuts

Then $X\cap Y$ is the number of customer purchased both coffee and donuts

$X\cup Y$ is the number of customer purchased both coffee or donuts

The Number of customers purchased only Coffee:

Number of customers purchased only donuts =n(X -Y)

$n( X -Y) = n(X) - n(X \cap Y)$

n(X-Y) = 59 -16

n(Y - X) = 43

The Number of customers purchased only donuts:

Number of customers purchased only donuts =n(Y -X)

$n(Y - X) = n(Y) - n(X \cap Y)$

n(Y - X) = 39 -16

n(Y - X) = 23

The Number of customers did not purchase either of these items:

Number of customers did not purchase either of these items = $n(X\cup Y)^{\prime}$

First lets find $n(X\cup Y)$

$n(X\cup Y) = n(X) + n(Y) - n( X \cap Y)$

$n(X\cup Y) = 59 + 39 - 16$

$n(X\cup Y) = 82$

$n(X\cup Y)^{\prime}$ = $110 - n(X\cup Y)$ = 28

5 0

3 years ago

A rectangular family room is 18 feet long and 14 feet wide.

Firlakuza [10]

Answer:

4 pieces of chair rail are needed

Step-by-step explanation:

Step 1: Calculate the perimeter of the room

Perimeter of rectangle = 2L + 2B

Length = 18

Breadth = 14

Perimeter of room = 2(18) + 2(14)

Perimeter of room = 64 feet

Step 2: Calculate the pieces of chair rail needed

Perimeter of room = 64 feet

Length of each chair rail = 16 feet

Total chair rails needed = Perimeter of room/length of each chair rail

Total chair rails needed = 64/16

Total chair rails needed = 4

Therefore, Mr. Herzog needs 4 pieces of chair rails.

5 0

3 years ago

The equation for a parabola has the form y = ax^2 + bz + c, where a, b, and c are constants and aメ0. Find an equation for the pa

vova2212 [387]

Answer:

a = 2, b = -9, c = 3

Step-by-step explanation:

Replacing x, y values of the points in the equation y = a*x^2 + b*x +c give the following:

(-1,14)

14 = a*(-1)^2 + b*(-1) + c

(2,-7)

-7 = a*2^2 + b*2 + c

(5, 8)

8 = a*5^2 + b*5 + c

Rearranging:

a - b + c = 14

4*a + 2*b + c = -7

25*a + 5*b + c = 8

This is a linear system of equations with 3 equations and 3 unknows. In matrix notation the system is A*x = b whith:

A =

1 -1 1

4 2 1

25 5 1

x =

b =

-7

Solving A*x = b gives x = Inv(A)*b, where Inv(A) is the inverse matrix of A. From calculation software (I used Excel) you get:

inv(A) =

0.055555556 -0.111111111 0.055555556

-0.388888889 0.444444444 -0.055555556

0.555555556 0.555555556 -0.111111111

inv(A)*b

-9

So, a = 2, b = -9, c = 3

5 0

3 years ago