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taurus [48]
3 years ago
12

Factor this expression completely. Write the factored expression in the space provided.

Mathematics
1 answer:
icang [17]3 years ago
5 0
<h3>I'll teach you how to solve y^2 - y - 12</h3>

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

y^2 - y - 12

Break the expression into groups:

(y^2+3y)+(-4y-12)

Factor out y from y^2+37:

y^2+37 = y(y+3)

Factor out -4 from -4y-12:

-4y-12 = -4(y+3)

y(y+3)-4y-12

Factor out common term y+3:

(y+3)(y-4)

Your Answer Is (y+3)(y-4)

plz mark me as brainliest :)

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A bicycle shop is selling $500 bikes at 10% off. If the sales tax is 7%, how much will the bike cost?
erma4kov [3.2K]

Answer:

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7 0
3 years ago
Can someone help me out with this? I’m not sure what I’m doing wrong.
Nadusha1986 [10]

Answer:


Step-by-step explanation:

This is a system of inequalities such that:

\left \{ {{2x+3y\geq 2} \atop {3x-4y\leq 3}} \right.

Let's start by solving for y for both equations:

Equation 1:

2x+3y\geq  2\\\\3y\geq -2x+2\\\\y \geq \frac{-2x+2}{3}

Equation 2:

3x-4y\leq 3\\\\-4y\leq -3x+3\\\\y\geq -\frac{(-3x+3)}{4}


Now if we substitute the 2nd y into the first equation we obtain:

2x+3(\frac{3x-3}{4}) \geq  2\\\\2x+\frac{9x-9}{4}\geq 2\\\\\frac{8x+9x-9}{4}\geq 2\\\\17x-9\geq 8\\\\17x\geq 17\\\\x\geq 1


Now we will solve for the second equation using the first result of y and we obtain:

3x-4(\frac{-2x+2}{3}\leq 3\\\\3x+\frac{8x-8}{3}\leq 3\\\\\frac{9x+8x-8}{3}\leq 3\\\\17x-8\leq 9\\\\17x\leq 17\\\\x\leq 1

And so our solution for the system of equations is:

x \leq 1\\and \\y\geq \frac{-2x+2}{3}

As well as:

x>1\\and\\y\geq \frac{3x-3}{4}


4 0
4 years ago
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