Answer:
B and F
Step-by-step explanation:
Given
x² + 4x + 4 = 12 ( subtract 4 from both sides )
x² + 4x = 8
Using the method of completing the square to solve for x
add ( half the coefficient of the x- term )² to both sides
x² + 2(2)x + 4 = 8 + 4, that is
(x + 2)² = 12 ( take the square root of both sides )
x + 2 = ±
( subtract 2 from both sides )
x = ±
- 2
= ± 2
- 2
Hence
x = 2
- 2 → B
x = - 2
- 2 → F
The square feet of landscaping will the two companies carry out that enables them to charge the same amount is 30
What is the total of the landscaping contract for each company?
The total cost of the landscaping contract for each of the two companies is the sum of the fixed consulting fee plus the multiple of variable charge per square foot multiplied by the number of square feet of landscaping
Company A:
Total cost=300+7S
S=square foot
Company B:
Total cost=120+13S
At the point where the square foot are the same they charge the same amount
300+7S=120+13S
300-120=13S-7S
180=6S
S=180/6
S=30 square foot
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Answer:
the answer is in the picture
Step-by-step explanation:
Answer:
Step-by-step explanation:
eq. of line is y-(-2)=-3(x-6)
y+2=-3x+18
y=-3x+18-2
y=-3x+16
∵(a,7) lies on it.
7=-a+16
a=16-7=9
a=9
Answer:
32 hours.
Step-by-step explanation:
Let x represent the time taken by Russell and Aaron to build the shed.
We have been given that Russell and Aaron can build a shed in 8 hours when working together. Aaron works three times as fast as Russel.
Russell's work rate would be
.
Since Aaron works three times as fast as Russel, so Aaron's work rate would be
.
Part of work done by in one hour would be
.
We can represent our given information in an equation as:

Let us solve for x.




Therefore, it will take Russell 32 hours to build the shed working alone.