Answer:
Park is <u>5 miles</u> from Billy's home.
Step-by-step explanation:
Given:
Billy left home at 9 a.m. And rode his bicycle to the park at an average speed of 10 miles per hour here and got the park at 9:30 a.m.
Now, to find the distance from park to Billy,s home.
Time it took Billy to rode his bicycle from park to home is from 9.30 a.m to 9.30 p.m.
So, the time = (9.30 - 9.00) = 30 minutes
Speed = 10 miles per hour.
Now, to get the distance from park to Billy's home we put formula:
Therefore, park is 5 miles from Billy's home.
Answer:
option c, x = 3
Step-by-step explanation:
Given:
- f(x) =
Since both equal f(x) they must be equivalent as well,
Apply exponent rule, 3 x 3 x 3 = 27
hence x = 3
Answer:
n = 3
Step-by-step explanation:
8n - (3n + 4) = 11
8n - 3n - 4 = 11
5n = 11 + 4
5n = 15
n = 3
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!
