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mixer [17]
3 years ago
13

Simplify the expression (x-4)( x-7) + (3-x)(2+x). PLEASE HELPPPPP!

Mathematics
2 answers:
Effectus [21]3 years ago
8 0

Answer:

-10x +34

Step-by-step explanation:

$(x-4)(x-7)$

(x-4)(x-7) &= x(x-7) - 4(x-7)\\

&=x^2 - 7x -4x +28\\

&=x^2 - 11x + 28.

$(3-x)(2+x)$

(3-x)(2+x) &= 3(2+x) - x(2+x)\\

&=6 + 3x - 2x - x^2\\

&= 6+x -x^2.

(x-4)(x-7) + (3-x)(2+x) &= (x^2 - 11x + 28) + (6+x-x^2)\\

&= (x^2 - x^2) + (-11x + x) + (28 + 6)\\

=-10x + 34

ddd [48]3 years ago
7 0
(x^2-11x+28)(6-x-x^2)2x^2 - 12x + 34
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An online store sells old video games and DVDS as a bundle. A bundle of two video games and three DVDS can be purchased for $89.
irga5000 [103]

Answer:

video game: $29.50

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Step-by-step explanation:

Let d = price of one DVD, and let v = price of 1 video game.

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2v + 3d = 89

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v + 2d = 49.5

We have two equations in two unknowns, so we can solve them as a system of 2 equations.

2v + 3d = 89

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Rewrite the first equation.

Multiply both sides of the second equation by -2 and write it below the first equation.

Add the equations.

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

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d = 10

Now we substitute 10 for d in the second original equation and solve for v.

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v + 2(10) = 49.5

v + 20 = 49.5

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Answer: video game: $29.50; DVD: $10

3 0
3 years ago
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