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saveliy_v [14]
2 years ago
12

Consider the exponential functions below.

Mathematics
1 answer:
klio [65]2 years ago
3 0

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

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2 years ago
A parallelogram has base (2x - 1) metres and height (4x - 7) metres.
Jobisdone [24]

Answer:

0.4069 ; 1.843

Step-by-step explanation:

Given:

Base of parallelogram, b = (2x - 1)

Height = (4x - 7)

Area = 1

Area of parallelogram = Base * height

Area of parallelogram = (2x - 1) * (4x - 7)

(2x - 1) * (4x - 7) = 1

8x² - 14x - 4x + 7 = 1

8x² - 18x + 7 - 1 = 0

8x² - 18x + 6 = 0

Divide through by 2

4x² - 9x + 3 = 0

Solving the quadratic equation :

Using the formula

-b ± √(b² - 4ac) / 2a

a = 4 ; b = - 9 ; c = 3

Plugging in the values :

-(-9) ± √((-9)² - 4(4)(3)) / 2(4)

9 ± √(81 - 48) / 8

9 ± √33 / 8

(9 ± 5.7445626) / 8

(9 - 5.7445626) / 8) = 0.4069

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3 years ago
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