F(5) = - 2f(4) + 1
f(4) = -2f(3) + 1
f(3) = -2f(2) + 1
f(2) = -2f(1) + 1
Therefore:
f(2) = -2(3) + 1 = -5
f(3) = -2(-5) + 1 = 11
f(4) = -2(11) + 1 = -21
Therefore f(5) = -2(-21) + 1 = 43

5 0

3 years ago

Kayla is running for charity. Her dad pledges to give her $0.50 per mile she runs. Her mom pledges to give her a flat donation o

amm1812

Answer:

10 miles

Step-by-step explanation:

Let m represent the number of miles Kayla runs. We want to find m such that ...

0.50m = 5.00

Divide by the coefficient of m:

m = 5.00/0.50 = 10

Kayla has to run 10 miles to get the same donation from both parents.

5 0

3 years ago

Consider the exponential functions below.

klio [65]

The functions in order from least to greatest according to their average rates of change are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

<h3>How to order the functions?</h3>

The rate of change is calculated using:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

For function g at the interval [2,3], we have:

$m = \frac{g(3) - g(2)}{3- 2}$

This gives

$m = \frac{20 - 4}{3- 2}$

$m =16$

For function h at the interval [0,2], we have:

$m = \frac{h(2) - h(0)}{2- 0}$

Where:

h(2) = 3(3)^2 - 9 = 18

h(0) = 3(3)^0 - 9 = -6

This gives

$m = \frac{18 + 6}{2 - 0}$

$m = 12$

For function f at the interval [1,2], we have:

$m = \frac{f(2) - f(1)}{2- 1}$

This gives

$m = \frac{12 - 6}{2 - 1}$

$m = 6$

Hence, the functions are function f at the interval [1,2], function h at the interval [0,2] and function g at the interval [2,3]

Read more about average rates of change at:

brainly.com/question/8728504

#SPJ1

3 0

1 year ago