Peter signed up for a program thatCost $10.50 per month to stream movies to his computer decided to cancel his service after 5/6
2 answers:
Answer:
He needs to pay $8.75 as a service cost.
Step-by-step explanation:
Consider the provided information.
Peter signed up for a program that Cost $10.50 per month to stream movies to his computer decided to cancel his service after 5/6 month.
He only has to pay for the amount of time he used the service.
Now we need to find how much his service cost.
If he used 5/6 month that means he needs to pay 5/6th part of $10.50
This can be written as:
Hence, he needs to pay $8.75 as a service cost.
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Answer:
z = 30.45 feet
Step-by-step explanation:
The volume (V) of a triangular prism is calculated as
V = area of triangular end (A) × length
Here V = 913.5 and length = 15, thus
A × 15 = 913.5 ( divide both sides by 15 )
A = 60.9 ft²
The area of the triangle = bh ( b is the base and h the height ), thus
× 4 × z = 60.9
2z = 60.9 ( divide both sides by 2 )
z = 30.45
Answer:
[-3, ∞)
Step-by-step explanation:
There are many ways to find the range but I will use the method I find the easiest.
First, find the derivative of the function.
f(x) = x² - 10x + 22
f'(x) = 2x - 10
Once you find the derivative, set the derivative equal to 0.
2x - 10 = 0
Solve for x.
2x = 10
x = 5
Great, you have the x value but we need the y value. To find it, plug the x value of 5 back into the original equation.
f(x) = x² - 10x + 22
f(5) = 5² - 10(5) + 22
= 25 - 50 +22
= -3
Since the function is that of a parabola, the value of x is the vertex and the y values continue going up to ∞.
This means the range is : [-3, ∞)
Another easy way is just graphing the function and then looking at the range. (I attached a graph of the function below).
Hope this helped!
