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!
Answer:
The earnings will double
Step-by-step explanation:
Step one:
given data
we are told that the sales person's earnings is 4% of the sales made.
given that the sales made is $37,000 worth of furnaces.
Step two:
we want to find 4% of $37,000
=4/100*37000
=0.04*37000
=1480
hence for $37,000 the earning will be $1480.
Now suppose sales is doubled that is 37000*2= 74000
we want to find 4% of $74,000
=4/100*74000
=0.04*74000
=2960.
the earnings is $2960.
So if sales doubles the earnings will double
Answer:
Perimeter is 17.07
Step-by-step explanation:
We know that DF = EF = 5 cm, since D and E are the midpoints of AC and AB, both of which are 10 cm in length.
We need to use the Pythagorean theorem to get the length of DE.
So the perimeter of DEF is 5 + 5 + 7.07 = 17.07
Answer - I think the answer is 59
Step-by-step explanation:
<span>Answer 61 73-66= 7 21-13 = 8 ?? -52= 9 20-10 = 10 ??=61</span>
