Answer:
x=3
Step-by-step explanation:
This is a proportional equation:
Given: x/9=9/27
Cross-multiply: 27x=81
Divide: x=3
So x=3
Answer:
Translated 1 to the right and up one
Step-by-step explanation:
When the number is inside the parenthesis with x, that value represents a horizontal shift. because the original equation is (x-h), the opposite sign of the x value must be taken. so in this case the x value would be +1 because that is the opposite of -1, which means the function is being moved one to the right. when the number is being added to the outiside of the parenthesis, then you take that value for the vertical translations of the graph. because the original equation is (x-h)+k, then in this case there would be a vertical shift up by 1
1) The height of the cylinder is equal to the diameter of the sphere.
3) The radius of the sphere is half the height of the cylinder.
5) The volume of the sphere is two-thirds the volume of the cylinder.
Hope this helped! :)
Answer:
maybe 88.5
Step-by-step explanation:
calculator is god
Step-by-step explanation:
Take the first derivative
Set the derivative equal to 0.
or
For any number less than -1, the derivative function will have a Positve number thus a Positve slope for f(x).
For any number, between -1 and 1, the derivative slope will have a negative , thus a negative slope.
Since we are going to Positve to negative slope, we have a local max at x=-1
Plug in -1 for x into the original function
So the local max is 2 and occurs at x=-1,
For any number greater than 1, we have a Positve number for the derivative function we have a Positve slope.
Since we are going to decreasing to increasing, we have minimum at x=1,
Plug in 1 for x into original function
So the local min occurs at -2, at x=1
