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Fiesta28 [93]
3 years ago
5

Alexis is making goodie bags for her birthday party. She has made 12 bags already.

Mathematics
1 answer:
Genrish500 [490]3 years ago
8 0
20
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Factor completely: 4x^3 - 36x
ivanzaharov [21]
You would take out a 4x out of both terms because this is a common factor 
4x^3-36x
4x(x^2-9) 
and then you would notice that (x^2-9) is a difference of squares, so that factors out too 
4x(x-3)(x+3)
that is all you can factor! hope this helps
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How can you determine the equation that represents this relationship?
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10. Write an equation to find the<br> value of x.
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Determine the intercepts of the line. <br> -5x-4y=10
storchak [24]

Answer:

x-intercept:(-2,0)\\\\y-intercept:(0,-\frac{5}{2})

Step-by-step explanation:

The y-intercept is where x is 0 (0,y)

The x-intercept is where y is 0 (x,0)

Insert 0 as the value for x to find the corresponding y value:

-5(0)-4y=10

Simplify multiplication:

0-4y=10\\\\-4y=10

Isolate the variable. Divide both sides by 4:

\frac{-4y}{4}=\frac{10}{4}  \\\\-y=\frac{10}{4} \\\\-y=\frac{5}{2}

Make the variable positive. Multiply both sides by -1:

-1(-y)=-1(\frac{5}{2})\\\\y=-\frac{5}{2}

The y-intercept is at (0,-\frac{5}{2}).

Insert 0 as the value for y to determine the value of x:

-5x-4(0)=10

Simplify multiplication:

-5x-0=10\\\\-5x=10

Isolate x. Divide both sides by 5:

\frac{-5x}{5} =\frac{10}{5} \\\\-x=2

Multiply both sides by -1:

-1(-x)=-1(2)\\\\x=-2

The x-intercept is at (-2,0).

:Done

8 0
3 years ago
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