Answer:
(- 3, - 6)
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
y = 2(x + 3)² - 6 ← is in vertex form
with (h, k) = (- 3, - 6 ) ← vertex
You can make a proportion of 8/20 to 42/x and then simply cross multiply from there to solve for y
Answer:
The mechanic worked 18.67 hours on the car.
Step-by-step explanation:
Given:
Total Cost on Repair = $325.
Mechanics charge = $45
Hourly Charge for Labor = $15
We need to find Number of hours Mechanic work on the car.
Let the number of hours worked by labor be 'x'
Now Total Cost on Repairs is equal to sum Mechanics charge and Hourly rate of labor multiplied by number of hours worked by labor.
Framing in equation form we get;
Solving the equation we get;
Using Subtraction Property we will subtract both side by 45 we get;
Now Using Division Property we will divide both side by 15 we get;
Hence the mechanic worked 18.67 hours on the car.
Answer:
The number is 4.
Step-by-step explanation:
The difference of twice a number and 12 is 2x - 12.
Multiplying by 5 gives 5(2x - 12)
So 5(2x - 12) = -20
Solving for x
10x - 60 = -20
10x = -20 + 60 = 40
x = 40/10
x = 4.
Answer:
Step-by-step explanation:
Hello!
-5/8 = (-5*-3)/ (8*-3) = 15/-24