2x^2 - 8x - 24
First, we can factor a 2 out of this expression to simplify it.
2(x^2 - 4x - 12)
Now, we can try factoring this two ways: by using the quadratic formula, or by using the AC method.
We're gonna try using the AC method first.
List factors of -12.
1 * -12
-1 * 12
2 * -6
-2 * 6 (these digits satisfy the criteria.)
Split the middle term.
2(x^2 - 2x + 6x - 12)
Factor by grouping.
2(x(x - 2) + 6(x - 2)
Rearrange terms.
<h3><u>(2)(x + 6)(x - 2) is the fully factored form of the given polynomial.</u></h3>
Answer:
(a) 12 hours
(b) $220
Step-by-step explanation:
(a) First we plug in $364 for C
C=76+24h
364=76+24h
Subtract 76 from both sides
24h=288
Divide both sides by 24
h=12
She spent 12 hours fixing the drain
(b) First we plug 6 hours in for h
C=76+24(6)
Multiply it out
C=76+144
Add
C=220
It costs $220 for fixing a drain that takes 6 hours
Answer:
1st angle will 60degree =90-60,. 1nd angle =60 degree.vertically opposite angle,