Answer:
Step-by-step explanation:
The range is set of all y-values. The range starts from minimum value to maximum value.
We don't have minimum value (approaching negative infinity.)
We have maximum value at x ≈ 2 equal 6.
Therefore the answer is
-inf <= y <= 6. But we don't usually write that. Instead, we cut out -inf and we get —
Answer:
Can you please give more information about the question?
Step-by-step explanation:
:
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 is 4 so C for you. I just did this with my brother! Hope this helped.
Answer:
≈85.43
Step-by-step explanation:
apply the binomial theorem to the square
≈85.43
Hope this helps
