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3 years ago

Find the average of 2, 6, 12, 8, and 7

Mathematics

1 answer:

Crazy boy [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Two lines are perpendicular. The slope of one line is -2, What is the slope of the other line?

faltersainse [42]

Perpendicular lines have negative reciprocal slopes. All that means is " flip " the slope and change the sign.
slope = -2, or -2/1....so flip the slope...-1/2...and change the sign...1/2.
so the perpendicular slope would be 1/2.

8 0

3 years ago

Mr.wilson wrote the fuction f(x)=7x-15 on the chalkboard.What is the value of this function for f(6)?

bixtya [17]

By plunging 5 into the equation as x, you have the equation

7(5) - 15

7 * 5 = 35 so

35 - 15

f(5) = 20

4 0

3 years ago

What is f(5) for the function f(x)=2x+7

denis-greek [22]

Answer:

Solution:

f(5)=2×5+7

=10+7

=17

8 0

3 years ago

Read 2 more answers

Derivative of<br><img src="https://tex.z-dn.net/?f=%20%5Cfrac%7B%20%7B3x%7D%5E%7B2%7D%20-%202x%20-%201%20%7D%7B%20%7Bx%7D%5E%7B2

Anastaziya [24]

Answer:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

Step-by-step explanation:

we would like to figure out the derivative of the following:

$\displaystyle \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

to do so, let,

$\displaystyle y = \frac{ { 3x }^{2} - 2x - 1 }{ {x}^{2} }$

By simplifying we acquire:

$\displaystyle y = 3 - \frac{2}{x} - \frac{1}{ {x}^{2} }$

use law of exponent which yields:

$\displaystyle y = 3 - 2 {x}^{ - 1} - { {x}^{ - 2} }$

take derivative in both sides:

$\displaystyle \frac{dy}{dx} = \frac{d}{dx} (3 - 2 {x}^{ - 1} - { {x}^{ - 2} } )$

use sum derivation rule which yields:

$\rm\displaystyle \frac{dy}{dx} = \frac{d}{dx} 3 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

By constant derivation we acquire:

$\rm\displaystyle \frac{dy}{dx} = 0 - \frac{d}{dx} 2 {x}^{ - 1} - \frac{d}{dx} {x}^{ - 2}$

use exponent rule of derivation which yields:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ - 1 -1} ) - ( - 2 {x}^{ - 2 - 1} )$

simplify exponent:

$\rm\displaystyle \frac{dy}{dx} = 0 - ( - 2 {x}^{ -2} ) - ( - 2 {x}^{ - 3} )$

two negatives make positive so,

$\displaystyle \frac{dy}{dx} = 2 {x}^{ -2} + 2 {x}^{ - 3}$

<h3>further simplification if needed:</h3>

by law of exponent we acquire:

$\displaystyle \frac{dy}{dx} = \frac{2 }{x^2}+ \frac{2}{x^3}$

simplify addition:

$\displaystyle \frac{dy}{dx} = \frac{2x + 2}{x^3}$

and we are done!

5 0

3 years ago

What is the coefficient for 5x + 3 = 18

erik [133]

Answer: 5

Step-by-step explanation: Let's go over a little algebra terminology.

The number in front of your variable is called your coefficient and a variable is just a letter that represents any number.

So here, your coefficient is 5 since it appears in front of the variable, x.

8 0

3 years ago

Read 2 more answers