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Pavlova-9 [17]
4 years ago
5

For the graphed exponential equation, calculate the average rate of change from x = −4 to x = 4. Possible answer choices being;

-1/3, -5/8, -4/5, -7/8

Mathematics
1 answer:
Kruka [31]4 years ago
5 0
The rate of change is given by:
[f(a)-f(b)]/[a-b]
thus the rate of change from x=-4 to x=4 will be:
[f(4)-f(-4)]/(4-(-4))
=[-5-0]/[4+4]
=-5/8

Answer: -5/8
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see the attached figure to better understand the problem

Step 1

in the triangle ABC

<u>Find the distance AC</u>

we know that

In the right triangle ABC

tan(A)=BC/AC

solve for AC

AC=BC/tan(A)

BC=10\ m\\A=35.5\°

substitute the values

AC=10/tan(35.5\°)

AC=14.02\ m

Step 2

in the triangle DEF

<u>Find the distance DF</u>

we know that

In the right triangle DEF

tan(D)=EF/DF

solve for DF

DF=EF/tan(D)

EF=14\ m\\D=54.5\°

substitute the values

DF=14/tan(54.5\°)

DF=9.99\ m

Step 3

Find the value of x

we know that

the value of x is the difference between AC and DF

x=AC-DF

x=14.02-9.99=4.03\ m

round to the nearest meter-------> x=4\ m

therefore

<u>the answer is</u>

The value of x is  4\ m

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3 years ago
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Answer:

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Step-by-step explanation:

The inverse relation can be found by solving for y: x = h(y).

<h3>Solution</h3>

  x = h(y) . . . . . the inverse relation

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