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!
In an hour there are 60 minutes.
6:38 PM + 22minutes = 7 PM
From 7 PM to 7:23 PM there are 23 minutes
So, (23 + 22) minutes = 45 minutes.
Answer: B. x is all real numbers.
Step-by-step explanation: The domain of a graph is how far the x value can go left or right. Because this is a horizontal line, the domain or x could be any value.
Answer:
Fraction of fire trucks = 
Total number of toy cars = 
Step-by-step explanation:
Fraction of sports car = 
Fraction of remaining cars 
So,
Fraction of pick up cars = 
Therefore,
Fraction of fire trucks = 
That is Number of fire trucks =
( Total number of toy cars )
Number of fire trucks = 4
Total number of toy cars = 
The answer i choose is $5.50 because i added $3.00 and $2.50. so thats how i got my answer