Solve 8m^2+20m=12 for m by factoring.

2 answers:

7 0

First, off, divide both sides by 4 to make things easier
2m^2+5m=3
minus 3 both sides
2m^2+5m-3=0
factor
hmm
experiment
(2m-3)(m+1), nope
(2m+3)(m-1), nope
(2m-1)(m+3), yep

(2m-1)(m+3)=0
set each to zero
2m-1=0
2m=1
m=1/2

m+3=0
m=-3

m=1/2 or -3

pickupchik [31]3 years ago

5 0

This is an equation?

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Use the equation to answer the questions. Round both answers to nearest whole number. Y = 47.25 − 2.25 X If Y equals 8 , what is

noname [10]

Answer:

If Y equals 8, X is equal to 17.

If Y drops to 4, X is equal to 19.

Step-by-step explanation:

We know that the equation is $Y = 47.25- 2.25X$ and we want to find X when Y = 8. To do this we solve the equation for X.

$47.25-2.25X=8\\47.25\cdot \:100-2.25X\cdot \:100=8\cdot \:100\\4725-225X=800\\4725-225X-4725=800-4725\\-225X=-3925\\\frac{-225X}{-225}=\frac{-3925}{-225}\\X=\frac{157}{9}=17.4444...$

17.4444 rounded to the nearest whole number is 17.

If Y drops to 4,

$4 = 47.25- 2.25X\\47.25-2.25X=4\\47.25\cdot \:100-2.25X\cdot \:100=4\cdot \:100\\4725-225X=400\\4725-225X-4725=400-4725\\-225X=-4325\\X=\frac{173}{9}=19.2222...$