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lukranit [14]
3 years ago
5

Factor each expression.

Mathematics
2 answers:
anygoal [31]3 years ago
4 0
3x^2 – 5x – 12 = (3x+4<span>)</span>(x-3)
x^2 -9 = (x-3<span>)</span>^2
<span>8x^3+ 12x^2 - 2x - 3 = (4x^2 - 1)(2x + 3)
</span>12x^2 +16x -3= (6x - 1)(2x + 3)
x^2 + 8x - 9= (x + 9<span>)</span>(x - 1) (I <span>can not</span> see who it can all be positive<span> ;</span>_;<span> )</span>
<span>3(x + y) + a(x + y)=  (3x + 3y) + (ax + ay)</span>
geniusboy [140]3 years ago
4 0
7. 3x² - 5x - 12
    3x² - 9x + 4x - 12
    (3x + 4)(x - 3)

8. x² - 9
    x² + 3x - 3x - 9
   (x - 3)(x + 3)

9. 8x³ + 12x² - 2x - 3
    (8x³ + 12x² - 2x - 3)
    (4x² - 1)(2x + 3)

10. 12x² + 16x - 3
      12x² + 18x - 2x - 3
      (6x - 1)(2x + 3)

11. x² + 8x + 9
      (x² + 9x - x + (-9))
      (x - 1)(x + (-9))

Extra Credit: 3(x + y) + a(x + y)
                     3(x) + 3(y) + a(x) + a(y)
                     3x + 3y + ax + ay
                     3x + ax + 3y + ay
                     (3 + a)x + (3 + a)y
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qwelly [4]

Answer:

It takes the printer 20 minutes to print a banner

Step-by-step explanation:

Notice that there are two unknowns in this problem: the time to print a poster and the time to print a banner. Let's assign the letter "b" to the time it takes to print a banner, and "p' the time it takes to print a poster.

So we can write the following two equations involving the total amount of time that takes to print in the two cases:

b+p=30\\b+3p=50

We can solve for the unknown "p" by subtracting term by term in the equation set above:

b+3p=50\\b+p=30\\\\b-b+3p-p=50-30\\2p=20\\p=10

So it takes 10 minutes to print each poster, we can find the time it takes to print the banner by using the value we just found in one of the equations:

b+p=30\\b+10=30\\b=20

So, it takes 20 minutes to print a banner.

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2 years ago
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5 0
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If x+y=9, and 8(x+3y)= 120, what is the value of x-y
Triss [41]

Answer:

3

Explanation:

Apply Multiplicative Distribution Law:

{x + y =9

{8x + 24y = 120

Reduce the greatest common factor on both sides of the equation.

{x + y = 9

{x + 3y = 15

Subtract the two equations: x + y - (x +3y) = 9 - 15

Remove paranthesis: x + y - x - 3y = 9 - 15

Cancel the unknown variables: y - 3y = 9 - 15

Combine like terms: -2y=9 - 15

Calculate the sum or difference: -2y = -6

Reduce the greatest common factor on both sides of the equation: y =3

Substitute one unknown quantity into the elimination: x + 3 = 9

Rearrange unknown terms to the left side of the equation: x = 9 - 3

Calculate the sum or difference: x = 6

Write the solution set of equations: {x = 6

                                                           {y = 3

Substitute: 6 - 3

Calculate the sum or difference: 3

Answer: 3

6 0
2 years ago
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Aleksandr [31]

Answer:

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Step-by-step explanation:

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