Answer:
A. $1,110
B. 50 units.
Step-by-step explanation:
A. Substitute 
into the function 
for calculate the time in hours required for the worker to produce 18 units:
Now you need to substitute 
into the function 
to calculate the amount in dollars she will be paid for 74 hours:
She will be paid $1,110.
B. To calculate the number of units that the worker needs to produce to be paid $3,030 , you need to substitute 
into the function and solve for T (to find the number of hours she requires to work to be paid $3,030)
Now, substitute 
into and solve for x, to calculate the number of units she produces in 202 hours:
She would need to produce 50 units to be paid $3,030
Answer = 314.2
Area of cyclinder:
Area at base x height
Pi = 3.142
5^2 x 3.142 = 78.55
78.55 x 4 = 314.2
Answer:
10
Step-by-step explanation:
the sum of 8,5,15,12,10 is 50 and there are 5 numbers so 50 divided by 5 is 10 and it's mean is also 10
hope this helps !
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.
