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elena-s [515]
3 years ago
11

Factor completely: 3x2 − 17x − 28

Mathematics
1 answer:
Olin [163]3 years ago
8 0
Hello,

3x²-17x-28=3x²-21x+4x-28=3x(x-7)+4(x-7)=(x-7)(3x+4)

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Find the slope of a line that passes through the following points<br> (-1,-5), (3,-3)
svet-max [94.6K]

Answer:

m=\frac{1}{2}

Step-by-step explanation:

defition of  slope(m) of a line:

m=\frac{Y_b-Y_a}{X_b-X_a}

A=(-1,-5)=(Xa,Ya)  then Xa= -1 and Ya= -5

B=(3,-3)=(Xb,Yb) then  Xb=3 and Yb= -3

m=\frac{-3-(-5)}{3-(-1)} \\\\m=\frac{-3+5}{3+1} \\\\m=\frac{2}{4} \\\\m=\frac{1}{2}

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On the left side, our -5's cancel out and we are left with <em>m</em>. On the right side, -35 ÷ -5 gives us 7. So m = 7.

To check our answer, we plug 7 back in for <em>m</em> in the original equation and we get -5 (7) = -35 which is a true statement so we know our answer is correct.

Don't just do this problem in your head. It's extremely important to develop the habit of putting all your steps down on paper or digitally. It will really pay off for you down the line.

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Step-by-step explanation:

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