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:
Step-by-step explanation:
x^2 + 48^2 = 50^2
x^2 + 2304 = 2500
x^2 = 196
x = 14
answer is a
Answer:
y=3/4m
Step-by-step explanation:
All proportional relationships have the form y=mx where m is the rate of change from the families donations x to the business donations y. We can find the rate of change m by substituting values we already know. We know when x=$12 then y=$9.
9=m*12
We solve for m by dividing by 12 on both sides.
m=9/12
This simplifies to 3/4 so
m=9/12=3/4.
The equation is y=3/4m
The answer is B: <span> a^12/b^6
Proof:
Simplify the following:
(a^4/b^2)^3
Multiply each exponent in a^4/b^2 by 3:
(a^(3×4))/((b^2)^3)
3×4 = 12:
a^12/(b^2)^3
Multiply exponents. (b^2)^3 = b^(2×3):
a^12/b^(2×3)
2×3 = 6:
Answer: a^12/b^6</span>
<h3>A is the answer EEEE</h3>