Answer:
f(x) = (x+10)^2 - 86
Step-by-step explanation:
- f(x) = x^2 + 20x - 86
- f(x) = x^2 + 20x + 100 - 86 (because (20/2)^2 = 100)
- f(x) = (x+10)^2 - 86
Completing the square means you do (b/2)^2 where b is: a^2x + bx + c.
Answer:
False.
The vertex is at (-7, 4).
Step-by-step explanation:
f(x) = (x + 7)^2 + 4
The minimum value of (x + 7)^2 = 0 (as it's a perfect square) , so minimum of f(x) is 4 when x = -7.
$64 jacket with a 20% discount:
First, we need to change the percentage into a number that we can calculate with. Take the percentage (20%) and divide it by 100(%), since the denominator should always be 100 when changing a percentage into a decimal.

Now that we have a number we can calculate with, we need to know how much money we are going to save from the discount. Take the new decimal we just got, and multiply it by the cost of the jacket, which is $64.

×

Knowing that we can save $12.40 on the jacket, we can now subtract the price of the jacket from the discount we get on it.

You will pay a total of
$51.20 on the jacket with the discount added.
The answer is f(x)=(x-2)/7
to find the inverse of a function, swap x and y and then find y. hope this helps!
The average rate of change between 1991 and 1996 is 40 million
<h3>How to determine the average rate of change between 1991 and 1996?</h3>
The given parameters are:
Population in 1991 = 1.5 billion
Population in 1996 = 1.7 billion
The average rate of change between 1991 and 1996 is calculated as:
Rate = (1.7 billion -1.5 billion)/(1996 - 1991)
Evaluate
Rate = 40 million
Hence, the average rate of change between 1991 and 1996 is 40 million
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