Answer:
see explanation
Step-by-step explanation:
Given
2y² - 16y = 6
Before completing the square we require the coefficient of the y² term to be 1
Therefore the first step is to divide each side of the equation by 2, that is
y² - 8y = 3
The method of completing the square can now be performed.
B
To find the area you multiply width times height, here for the bigger rectangle, to find the area you multiply 7*6 and then add that with 6 * x because those are the width and height of the smaller rectangle.
Second part
I believe that Wiliam chose C because he accidentally thought that adding everything was correct. He added 7+6 to get 13 for the bigger rectangle and then for the smaller rectangle decided that to find the area you would add 6 and x.
Answer:
The correct factorization of this trinomial should be (x - 6)(x + 2)
Step-by-step explanation:
We know this because when we factor trinomials with a 1 as the lead coefficient, the end terms in the parenthesis will always multiply to the constant (-12) and add to the middle term (-4). If we make a list of the factors of -12, we can choose the one that adds up to -4.
1 * -12
-1 * 12
2 * -6
-2 * 6
3 * -4
-3 * 4
So we put these two in a parenthesis with the x terms like this
(x - 6)(x + 2)
$900+ $288( interest after 8 years)= $1, 188( total balance)