What is the average rate of change of the function f(x)=5(2)^x from x = 1 to x = 5?

1 answer:

5 0

Average rate of change refers to the slope of a function/equation.
To solve this, plug in for both x values and calculate the average, or mean.

x = 1
f(1) = 5(2)^1
= 5(2)
= 10

x = 5
f(5) = 5(2)^5
= 5(32)
= 160

Now, you calculate the average:
10 + 160 = 170
Divide by 2 and you get 85.

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galina1969 [7]

Answer:

graph B

Step-by-step explanation:

Given

3y - 5x < - 6

Since the inequality is < then the line must be broken

If ≤ then line would be solid

The only possible graphs are B and D

Choose a test point in the shaded region of each graph and check validity

graph B (2, 0) ← substitute into left side of inequality

0 - 5(2) = 0 - 10 = - 10 < - 6 ← this is valid

graph D (0, 0 ) ← substitute into left side of inequality

0 - 0 = 0 > - 6 ← this is not valid

Hence graph B is the correct graph

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3 years ago

No links please. Fill in the blanks. 67ns=[?]x10^[?]s

cluponka [151]

Using scientific notation, it is found that:

67 ns = $6.7 \times 10^{-8}$ s

<h3>What is scientific notation?</h3>

A number in scientific notation is given by:

$a \times 10^b$

With the base being $a \in [1, 10)$ .

In this problem, the amount is of 67 ns.

Each ns has $10^{-9}$ seconds, hence:

$67ns = 67 \times 10^{-9}s$

We want the base between 1 and 10(exclusive), hence, we move the decimal digit one digit to the left and add one to the exponent, and the representation is:

67 ns = $6.7 \times 10^{-8}$ s

You can learn more about scientific notation at brainly.com/question/16394306

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2 years ago

Two points A (-2, 9) and B (4, 8) lie on a line l. (i) Find the slope of the line l. (2)marks (ii) Find the coordinates of the m

White raven [17]

Answer :