In order to solve this you need to factor the denominator.
x^2 +4x - 12
I see that 12 is a product of 6 and 2 and 4 and 3 and 1 and 12.
I pick the two products that, when added together, give me the 4x term.
Here it's 6 and two I just need to make one of them a negative.
now put them in this form:
(x + 6)(x-2)
In the fraction I see that there is an x-2 in the numerator. This can cancel out with the x-2 in the denominator. Now you have 1/x-6 but remember you can never have a zero in the denominator so x can't equal -6.
And you're done!
<span><u><em>Answer:</em></u>
1. 3x = y
2. 7x= y.
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<u><em>Explanation:</em></u>
If x is the amount of points each question that is answered correctly received then the coefficient that x is multiplied by will be the amount for each test.
For the first equation we have 3 as the amount answered correctly time x the points each one is worth = total points y.
For the second equation we have 7 as the amount answered correctly time x the points each one is worth = total points y .
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The answer is 12>x>-7
Step-by-step explanation:
it's first divided into 2 parts
1 . 15 > 2x - 9
2. 2x - 9 > -23
Then solve them individually.
let's do it,
<u>First half</u>
15 > 2x - 9
15+9 > 2x
24 > 2x
24/2 > x
12>x
<u>Second half</u>
2x-9>-23
2x>-23+9
2x>-14
x>-14/2
x>-7
<u>Joining of the two halves</u>
We have :
12>x>-7
Let 
be the amount (gal) of the 40% slime solution you end up using. You want to end up with 120 gal of the 50% solution, so that you would use 
gal of the 70% solution.
You want the final solution to consist of 50% slime, or 60 gal of slime. Each gal of the 40% solution contributes 0.4 gal of slime, while each gal of the 70% solution contributes 0.7 gal of slime. This means
so the answer is B.
