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1 year ago

Write an exponential function in the form y=ab^xy=ab

Mathematics

1 answer:

Zarrin [17]1 year ago

8 0

Answer:

Step-by-step explanation:

$y=ab^x\\x=0,y=4\\4=ab^0\\4=a(1)\\a=4\\y=4b^x\\x=2,y=256\\256=4b^2\\b^2=\frac{256}{4} =64\\b=\pm8\\y=4(8)^x\\or\\y=4(-8)^x$

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Which function has an average rate of change of -4 over the interval [-2,2]?

kolbaska11 [484]

Only p(x) has an average rate of change of -4 over [-2, 2].

Find the average rate of change of each given function over the interval [-2, 2]]:

The average rate of change of m(x) over [-2, 2]:

<h3>What is the average rate?</h3>

The average rate of change = $\frac{m(b)-m(a)}{b-a}$

Where, a = -2, m(a) = -12

b = 2, m(b) = 4

Plug the values into the equation

The average rate of change

$=\frac{4-(-12)}{2-(-2)} =\frac{16}{4}$

The average rate of change = 4

The average rate of change of n(x) over [-2, 2]:

The average rate of change = $\frac{n(b)-n(a)}{b-a}$

Where, a = -2, n(a) = -6

b = 2, n(b) = 6

Plug the values into the equation

The average rate of change

$=\frac{6-(-6)}{2-(-2)} \\=\frac{12}{4}$

The average rate of change = 3

The average rate of change of q(x) over [-2, 2]:

The average rate of change = $\frac{q(b)-q(a)}{b-a}$

Where, a = -2, q(a) = -4

b = 2, q(b) = -12

Plug the values into the

The average rate of change = $\frac{-4-12}{2-(-2)}$

= $\frac{-16}{4}$

The average rate of change = -2

The average rate of change of p(x) over [-2, 2]:

The average rate of change = $\frac{p(b)-p(a)}{b-a}$

Where, a = -2, p(a) = 12

b = 2, p(b) = -4

Plug the values into the equation

The average rate of change = $\frac{-4-12}{2-(-2)}$

$=\frac{-16}{4}$

The average rate of change = -4

The answer is D.

Only p(x) has an average rate of change of -4 over [-2, 2].

To learn more about the average rate of visit:

brainly.com/question/8728504

#SPJ1

8 0

1 year ago

A sequence is defined that the first term is 4 and each term after the first term is found by adding 4 5 to the preceding term.

inna [77]

The 8th term of the sequence is 9.6
Hope this helped! :)

5 0

2 years ago

Jaida was grocery shopping for easter dinner, she got 7 lb Spanish serano ham for $50, 5 lbs of russet potatoes for $5 and a bag

Marrrta [24]

Answer: $61.48

Step-by-step explanation:

First, let’s find her cost before tax by adding everything she bought together.

50+5+3=58

Then, find the cost of sales tax.

Convert 6% to a decimal

6/100=0.06

Multiply the total cost by the decimal

58*0.06=3.48

Add the tax and total cost together

58+3.48=61.48

So the total cost with tax is $61.48

Hope this helped!

8 0

3 years ago

Mia opens a savings account with $100. She makes the same deposit every month and makes no withdrawals. After 2 months, she has

Elodia [21]

We have been given that Mia opens a savings account with $100. She makes the same deposit every month and makes no withdrawals. After 2 months, she has $150. After 4 months, she has $200. After 6 months, she has $250.

We are asked to find the rate of change.

The rate of change will be equal to slope. We have been given points (2,150), (4,200) and (6,250). We will use slope formula to find rate of change.

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

Let $(2,150)=(x_1,y_1)$ and $(4,200)=(x_2,y_2)$ .

Upon substituting coordinates of these points in slope formula, we will get:

$m=\frac{200-150}{4-2}$

$m=\frac{50}{2}$

$m=25$

Therefore, the rate of change is $25 per month.

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2 years ago

Test in an hour. Please help.

ololo11 [35]

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8 0

3 years ago