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3 years ago

Find the average rate of change for the function f(x)=3x^2 on the interval [-3,3]

Mathematics

1 answer:

Ierofanga [76]3 years ago

7 0

The formula for average rate of change is given by:

$\frac{f(x_{2})-f(x_{1})}{x_{2}-x_{1}} \\ Plugging x2 as 3 and x1 as -3\\$

$\frac{f(3)-f(-3)}{3-(-3)}$

=(27-27)/6

=0/0

Answer: average rate of change is 0

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Suppose the population of a town is 8,200 and is growing 4% each year, what is the population expected to be in 10 years

miv72 [106K]

Answer:

12,138 people

Step-by-step explanation:

Create an equation using the basic exponential growth equation:

y = a(1 + r)^t, where a is the initial amount, r is the growth rate as a decimal, and t is the amount of time in years.

Plug in the values we know

y = a(1 + r)^t

y = 8200(1 + 0.04)^10

y = 8200(1.04)^10

= 12,138 people

8 0

3 years ago

PLZ HELP ASAP!!!!! <img src="https://tex.z-dn.net/?f=" id="TexFormula1" title="" alt="" align="absmiddle" class="latex-formula">

AveGali [126]

The simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

Solution:

Given expression is $4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ .

To simplify the given expression.

$$\Rightarrow4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$

Using exponent rule: $\frac{1}{a^{-m}}=a^m$

$$\Rightarrow4x \cdot x^{5}.x^{-3}$

Using another exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x \cdot x^{5-3}$

$$\Rightarrow4x \cdot x^{2}$

Using exponent rule: $a^m \cdot a^n=a^{m+n}$

$$\Rightarrow4x^{1+2}$

$$\Rightarrow4x^3$

Hence the simplified expression of $$4 x \cdot \frac{1}{x^{-5}} \cdot x^{-3}$ is $4x^3$ .

8 0

2 years ago

Louis owns a rectangular piece of property with an area of 1 3 4 square miles. The length of the property is 2 1 3 miles. What i

dedylja [7]

Answer:

Step-by-step explanation:

Area of the land A - Length * Width

Given

A = 1 3/4 mi²

Length L = 2 1/3 miles

Required

Width of the property

Substitute into the formula;

A = LW

W = A/L

W = 1 3/4/(2 1/3)

W = 7/4 ÷ 7/3

W = 7/4 × 3/7

W = 3/4 miles

Hence the width of the property is 3/4 miles

3 0

2 years ago

G(x) = 2x^2 and h(x) = .What is (g h)-1 and is it a function?

Andrews [41]

H(x) equals what? I think you've missed that detail. :)

3 0

3 years ago

Read 2 more answers

20 PTS!!!

Maslowich

Answer: x = -2

Step-by-step explanation:

vertical line means it will be x = ___

Set the x-values equal to each other and solve for x.

3 - 2x = x + 9

+2x +2x

3 = 3x + 9

-9 -9

-6 =3x

$\frac{-6}{3} = \frac{3x}{3}$

-2 = x

4 0

2 years ago

Read 2 more answers