Answer:
Step-by-step explanation:
The cylindrical basin has a height of 2 ft and a diameter of 5 ft.
To find the amount of water that will completely fill up the basin, we simply need to find the volume of the basin.
The volume of a cylinder is given as:
where r = radius of the basin (half the diameter) = 2.5 ft
h = height of the basin
Hence, the volume is:
≅
The cylindrical basin can hold up to of water.
Answer:
Expression for Larry will be;
Expression for Zach will be;
Step-by-step explanation:
Given:
Larry gets $7 for each of the 3 flower beds he weeds and Y dollars to edge a yard.
Amount for each flower bed he weeds = $7
Number of flower bed he weeds = 3
Total amount he gets for 3 flower bed he weeds =
Amount earn to edge a yard = Y
Total amount Larry will earn = $21 + $Y
Now Zach will get $25 to clean a garage and Y dollars to wash a car.
Amount earned to clean garage = $25
Amount earned to wash as car = $Y
Total Amount Zach will earn = $25 + $Y
The Both have to make X dollars to meet their goals.
Expression for Larry will be;
Expression for Zach will be;
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!
