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2 years ago

Does the table represent exponential growth or exponential decay?

Mathematics

1 answer:

Vitek1552 [10]2 years ago

4 0

Answer:

Step-by-step explanation:

y=ar^x

(ar^5)/(ar^3)=72/432

r^2=1/6

Since r^2 < 1

This is exponential decay.

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Consider the function f ( x ) = − 2 x 3 + 27 x 2 − 108 x + 9 . For this function there are three important open intervals: ( − [

Darya [45]

Answer:

Step-by-step explanation:

<u>Increasing and Decreasing Intervals of Functions</u>

Given f(x) as a real function and f'(x) its first derivative.

If f'(a)>0 the function is increasing in x=a

If f'(a)<0 the function is decreasing in x=a

If f'(a)=0 the function has a critical point in x=a

As we can see, the critical points may define open intervals where the function has different behaviors.

We have

$f ( x ) = - 2 x^3 + 27 x^2 - 108 x + 9$

Computing the first derivative:

$f' ( x ) = - 6 x^3 + 54 x - 108$

We find the critical points equating f'(x) to zero

$- 6 x^3 + 54 x - 108=0$

Simplifying by -6

$x^2 -9 x +18=0$

We get the critical points

$x=3,\ x=6$

They define the following intervals

$(-\infty,3),\ (3,6),\ (6,+\infty)$

Thus A=3 and B=6

3 0

3 years ago

David wants to pack apples and bananas in his lunch. He has room for 16 fruit. He wants to pack three times as many apples as ba

S_A_V [24]

Answer:

David should pack 12 apples and 4 bananas

7 0

2 years ago

30 is 60%of what number?

Rom4ik [11]

Answer: 50

Step-by-step explanation:

Step 1: 60% = .60

Step 2: 30 = .60Y

Step 3: Divide both sides of the equation by .30 to isolate the variable Y.

30/.60 = .60/.60Y

50=Y

Therefore, 30 is 60% of 50.

3 0

3 years ago

Find the length of AB

hjlf

Answer:

the answer is 36centameters

3 0

3 years ago

What is 7 divided by 18

Aleks04 [339]

7 ÷ 18 is 0.38888888888

6 0

3 years ago

Read 2 more answers