Answer:
(x + 1)² = 7
Step-by-step explanation:
Given:
-2x = x² - 6
We'll start by rearranging it to solve for zero:
x² + 2x - 6 = 0
The first term is already a perfect square so that's fine. Normally, if that term had a non-square coefficient, you would need to multiply all terms a value that would change that constant to a perfect square.
Because it's already square (1), we can simply move to the next step, separating the -6 into a value that can be doubled to give us the 2, the coefficient of the second term. That value will of course be 1, giving us:
x² + 2x + 1 - 1 - 6 = 0
Now can group our perfect square on the left and our constants on the right:
x² + 2x + 1 - 7= 0
x² + 2x + 1 = 7
(x + 1)² = 7
To check our answer, we can solve for x:
x + 1 = ± √7
x = -1 ± √7
x ≈ 1.65, -3.65
Let's try one of those in the original equation:
-2x = x² - 6
-2(1.65) = 1.65² - 6
- 3.3 = 2.72 - 6
-3.3 = -3.28
Good. Given our rounding that difference of 2/100 is acceptable, so the answer is correct.
Answer:16
Step-by-step explanation:Next day there will be (36+12) or 48 players.
For 36 players 12 pizzas are needed
For 1 player 12/36 pizzas are needed
For 48 players 12/36*48 or 16 pizzas are needed
Answer:
A. 1000x75t=i
B. 1000(1+5%/n)^t
Step-by-step explanation:
i=prt interest principle rate time
a=p(1+r/n)^t amount principle rate number of times interest is compound time
<em>Hope this helps.</em>
Answer:
x = 4
Step-by-step explanation:
