6x + 3x = 9x , but why?

Answers

Answer 1

Answer: 6x + 3x = 9x

The reason is because 6x and 3x are like terms. They both have the same variable and the variable has the same degree of 1. That means you can add 6x and 3x.

If you factor out x, you get:

6x + 3x = x(6+3)

Now, if we add 6 + 3, we get 9.

x(6+3) = x(9) = 9x

Therefore, 6x + 3x = 9x.

Answer 2

Answer: Well... 6 + 3 = 9 and then you just put in the x
6x + 3x = 9x

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4|x+5|=20
Thanks for the help

Answers

4 |x = 5| = 20

First, divide both sides by 4. / Your problem should look like: $|x + 5| = 5$
Second, simplify $(20)/(4)$ to 5. / Your problem should look like: $|x + 5| = 5$
Third, break the problem into 2 equations. / x + 5 = 5 and -(x + 5) = 5
Fourth, solve x + 5 = 5. /
Cancel 5 on both sides. / $x = 0$
Fifth, solve -(x + 5) = 5 /
Simplify brackets / $-x - 5 = 5$
Add 5 to both sides / $-x = 5 + 5$
Add 5 + 5 / $-x = 10$
Multiply both sides by -1 / $x = -10$
x = -10
Sixth, collect the solutions to the problems. / Your problem should look like: $x = -10, 0$

Answer: x = -10, 0

4Ix+5I=20
$4(-(x+5))=20$
$4(-x-5)=20$ distributhing 4 through parantheses
$-4x-4*5=20$
$-4x-20=20$
$-4x=20+20$
$-4x=40$ divide by -4
$x= (40)/(-4)$ simplify
$x=-10$
The answer is : - 10

Please help will mark brainliest

Answers

Answer:

The answer is C i had it on my exam on edge

Step-by-step explanation:

Answer:

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Step-by-step explanation:

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If f(x)=x^2-5 and g(x)=6x then g(f(x)) is equal to

Answers

g(x) = 6x

g(f(x))
= 6((x^2) - 5)
= (6x^2) - 30

so its equal to
(6x^2) - 30

Plug f(x) as x in g(x) and you get 6(x^2-5), which is g(f(x)) = 6x^2-30.

Slope -2/3 , x-intercept at 3

Answers

Answer:

Y=(-3)x+6

Step-by-step explanation:

The diameter of your bicycle wheel is 20 inches. How far will you move in one turn of your wheel?

Answers

To do this, You must know the formula. D=3.14l*r Or, Distance=3.14length*revolutions
3.14 is pi.
Revolutions are the turns of a wheel.
Plug in your numbers. D=3.14*20*1
D=62.8 inches

when 12 is added to a certain number and the result is multiplied by 4. the final result is 60.find the number.

Answers

Answer:

The number is 3

Step-by-step explanation:

Let x be the number

Add 12

(x+12)

Then multiply by 4

4(x+12)

This is equal to 60

4(x+12) = 60

Divide each side by 4

4(x+12)/4 = 60/4

x+12 = 15

Subtract 12 from each side

x+12-12 = 15-12

x = 3

Answer is 3

=====================================================

Work Shown:

x = some unknown number

x+12 = adding 12 to the unknown number

4(x+12) = multiplying the previous sum by 4

4(x+12) = 60 .... set this equal to the desired result we want

Now solve for x. We will undo the steps done above to isolate x

----------------

4(x+12) = 60

x+12 = 60/4 .... divide both sides by 4 to undo "multiply by 4"

x+12 = 15

x = 15-12 .... undo "add 12" by subtracting 12 from both sides

x = 3

-----------------

The unknown number is 3

add 12 to it to get 3+12 = 15

multiply that sum by 4 to get 15*4 = 60

Answer is confirmed.

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P-4x - 3y= -26-5x+2y= -21Find the solution to the system of equations shown above by graphing.A. X= 5, y= 2B. X= 5, y=3C. X= 2, y = 5D. x= 6, y= 2PLEASE EXPLAIN!!!