Mathematics, 24.07.2019 23:30 nhester3378

Factor 5x^2+28x -12 (show the steps )

Answers: 2

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I'd start by finding the roots of the given expression. From these roots you can write the factors.
-28 plus or minus sqrt(28^2 - 4(5)(-12)
x =
10
-28 plus or minus sqrt(784+240)
=
10
-28 plus or minus 35 (approx)
=
10
35-28 -28-35
= and These roots are only approximate. However,
10 10 if we treat them as exact, with one root
equal to 7/10 and the other -63 / 10

then the factors of the polynomial would be, approx., x-7/10 and x+63/10.

Please double check to ensure that you've copied down the problem completely and accurately. Thanks.

Answer from: Quest

what does muffins have to do with anything?

step-by-step explanation:

Answer from: Quest

mr. flanders’ class sold 47 doughnuts and mr. rodriquez’s class sold 38 cartons of milk

step-by-step explanation:

let x be the number of doughnuts sold by mr. flanders’ class and y be the number of cartons sold by mr. rodriquez’s class.

1. together, the classes sold 85 items, then

x+y=85.

2. both classes earn earned $104.49 for their school. if doughnuts were sold for $1.35 each, then x doughnuts costed $1.35x. if cartons of milk were sold for $1.08 each, then y cartons costed $1.08y. hence,

1.35x+1.08y=104.49.

3. solve the system of two equations:

$\left\{\begin{array}{l}x+y=85\\1.35x+1.08y=104.49\end{array}\right.\rightarrow \left\{\begin{array}{l}x=85-y\\1.35(85-y)+1.08y=104.49\end{array}\right.$

$114.75-1.35y+1.08y=104.49,\\ \\114.75-104.49=1.35y-1.08y,\\ \\10.26=0.27y,\\ \\y=38,\\ \\x=85-38=47.$

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Factor 5x^2+28x -12 (show the steps )...