When you are doing distribution with this problem you are going to get your answer of....
D) 12x^2 - 13x - 14
Steps:
Simplify...
<span>(3x + 2)(4x - 7)
= (3x + 2) (4x + -7)
= (3x)(4x) + (3x)(-7) + (2)(4x) + (2)(-7)
= 12x^2 - 21x + 8x - 14
=12x^2 - 13x -14</span>
Y=6x, 2x+3y=-20
Substitution means just plugging in another equation equal to a single variable in order to solve for the other variable, and then the first. In this case, the equation being plugged in is y=6x, so 6x will be put in place of y in the equation 2x+3y=-20.
2x+3(6x)=-20
2x+18x=-20
20x=-20
x=-1
And then x=-1 can be plugged into the original equation to find y. (And, if you wish, into the y= equation to check it.)
2(-1)+3y=-20
-2+3y=-20
3y=-20+2
3y=-18
y=-6
And to check it, we plug the two into the original y= equation.
y=6x
-6=6(-1)
-6=-6
They are equal, so both check out.
x=-1, y=-6
Answer:
4
Step-by-step explanation:
ΔABC is congruent with ΔDEF. That means the corresponding sides are congruent.
Look at the order of the letters. EF are the last two letters of ΔDEF. So this corresponds with the last two letters of ΔABC. Therefore, EF ≅ BC.
EF ≅ BC
x² + 8x = 48
x² + 8x − 48 = 0
(x + 12) (x − 4) = 0
x = -12 or 4
Since x can't be negative, x = 4.
Answer:
7000
Step-by-step explanation:
If it is 5 or more, then round up. If it is 4 or less, then round down.
