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Cerrena [4.2K]
2 years ago
13

Given f(x)= 17 – x^2, what is the average rate of change in f(x) over the interval [1, 5]?

Mathematics
1 answer:
Setler79 [48]2 years ago
5 0

Answer:

-6

Step-by-step explanation:

Average rate of change = \frac{f(b)-f(a)}{b-a} = \frac{(17-5^{2)}-(17-1^{2})  }{5-1} = -6

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What is the area of the trapezoid?
kykrilka [37]
To find the area of the trapezoid you add the two bases then multiply by the base and divide by 2. 

B1+b2= 24+16=40
40*h=40*12=480
480/2=240

D. 240 square feet.
8 0
3 years ago
Suppose a population of deer in the state is 10, 289 and is growing 1% each year. Predict the population after 5 years
eimsori [14]

Answer: the population after 5 years is 10814

Step-by-step explanation:

The population growth of the deer is exponential. We would apply the formula for determining exponential growth which is expressed as

A = P(1 + r)^t

Where

A represents the population after t years.

n represents the period of growth

t represents the number of years.

P represents the initial population.

r represents rate of growth.

From the information given,

P = 10289

r = 1% = 1/100 = 0.01,

t = 5 years

Therefore,

A = 10289(1 + 0.01)^5

A = 10289(1.01)^5

A = 10814

3 0
3 years ago
The following wedge prism has a volume of
tiny-mole [99]

Answer:

The volume of the prism is 27 cubic inches.

Step-by-step explanation:

In order to calculate the volume of the given prism, we need to apply the correct formula. The volume of the wedge prism is given by the following formula:

Volume = \frac{1}{2}*b*h*l

Applying the data from the problem on the equation above, we have:

Volume = \frac{1}{2}*6*4.5*2\\Volume = 6*4.5\\Volume = 27

The volume of the prism is 27 cubic inches.

6 0
3 years ago
Solve for x: 4/x - x/8 = 0
Lostsunrise [7]

Answer:

x = \sqrt{32}

Step-by-step explanation:

\frac{4}{x} - \frac{x}{8} = 0\\\\\frac{4}{x} = \frac{x}{8}\\\\x^2 = 32\\\\x = \sqrt{32}

8 0
3 years ago
Read 2 more answers
According to one web page on the resale value of cars, a BMW that cost $71,000 in 2003 depreciates in value about 15% a year. Ho
sladkih [1.3K]

71,000 *(1-0.15)^10 =

71,000*0.85^10 =

$13,978.08

3 0
3 years ago
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