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3 years ago

Find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2

Mathematics

1 answer:

jeka943 years ago

4 0

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Step-by-step explanation:

We need to find the average rate if change in the function f(x) = x^2 +2 over the interval x= -5 to x= -2

The formula used to find the change of average rate is:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}$

Where b= -2 and a= -5

Finding f(b) and f(a)

f(b)=f(-2)=(-2)^2+2=4+2=6

f(a)=f(-5)=(-5)^2+2=25+2=27

Putting values in the formula:

$Rate\,\,of\,\,change=\frac{f(b)-f(a)}{b-a}\\Rate\,\,of\,\,change=\frac{6-27}{(-2)-(-5)}\\Rate\,\,of\,\,change=\frac{-21}{-2+5}\\Rate\,\,of\,\,change=\frac{-21}{3}\\Rate\,\,of\,\,change=-7$

Average rate of change of function f(x) = x^2 +2 over the interval x= -5 to x= -2 is -7

Keywords: Average Rate of change

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3 years ago

Give two coterminal angles (one positive and one negative) and the reference angle -4 pi/5

kherson [118]

The coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.

<h3>What is coterminal angles?</h3>

Two different angles that have the identical starting and ending edges termed coterminal angles however, since one angle measured clockwise and the other determined counterclockwise, the angles' terminal sides have completed distinct entire rotations.

We have an angle:

-4π/5

To find the coterminal angle, add and subtract by 2π in the angle -4π/5

Coterminal angle:

= -4π/5 - 2π

= -14π/5

= -4π/5 + 2π

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Reference angle:

= π - 4π/5 (as the angle lies in the second quadrant)

= π/5

Thus, the coterminal angle for the -4π/5 are -14π/5 , 6π/5 and reference angle is π/5 respectively.

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2 years ago

If x-1/3 = kand k = 3, what is the value of x?<br> a. 2<br> b. 4<br> c. 9<br> d. 10

frosja888 [35]

Answer:

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Step-by-step explanation:

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3 years ago

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X and y simplifying problem. Please explain how to do thiese. I will gove 15 points

Strike441 [17]

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First, combine like terms:

$\left(\dfrac 56 - \dfrac14\right) x + \left(\dfrac25 + \dfrac3{10}\right)y$

Now just simplify the coefficients of x and y. We do this by converting each pair of fractions to ones with a common denominator. Then we can combine them easily.

$\dfrac56 - \dfrac14 = \dfrac56\cdot\dfrac22 - \dfrac14\cdot\dfrac33 = \dfrac{5\cdot2}{6\cdot2} - \dfrac{1\cdot3}{4\cdot3} = \dfrac{10}{12} - \dfrac3{12} = \dfrac{10-3}{12} = \dfrac7{12}$

$\dfrac25 + \dfrac3{10} = \dfrac25\cdot\dfrac22 + \dfrac3{10} = \dfrac{2\cdot2}{5\cdot2} + \dfrac3{10} = \dfrac4{10} + \dfrac3{10} = \dfrac{4+3}{10} = \dfrac7{10}$

So the simplified expression would be

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3 years ago

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Answer:

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