This is the work and the answer is 4/23 or (in decimal form) 0.17391304
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:
m(x)= 0 when X= 3
Step-by-step explanation:
2*3=6
6-6=0
For (2x-6)
3-4=-1
So -1*0=0
it can also be look at like this (0,-1)
Answer:
The numerator is 5.
Step-by-step explanation:
You would multiply the numerator by 5 as the denominator multiplies by 5.
Answer:
y = 10x + 100
Step-by-step explanation:
The 100 bonus points are guaranteed, no matter if you use the site for 0 months or more. Thus, 100 is the constant, the y-intercept in a graph.
The 10 points you earn for each month is the rate of change, or slope.
The equation is:
y = 10x + 100
where x represents the number of months used, and y is the total points.
As a function, the equation is:
p(x) = 10x + 100
where x is the number of months, and p meaning points.
