ANSWER
When
is written in the form
, it looks like ![f(x)=(x-5)^2-16](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%5E2-16)
EXPLANATION
To write
in the form
, we have to complete the squares.
We add and subtract half the coefficient of
square.
![f(x)=x^2-10x+(-5)^2-(-5)^2+9](https://tex.z-dn.net/?f=f%28x%29%3Dx%5E2-10x%2B%28-5%29%5E2-%28-5%29%5E2%2B9)
The first three terms of the function is now a perfect square.
![f(x)=(x-5)^2-25+9](https://tex.z-dn.net/?f=f%28x%29%3D%28x-5%29%5E2-25%2B9)
We now simplify rto obtain,
![\Rightarrow f(x)=(x-5)^2-16](https://tex.z-dn.net/?f=%5CRightarrow%20f%28x%29%3D%28x-5%29%5E2-16)
Answer:
67
Step-by-step explanation:
GOOD LUCK!!
Knowing the volume of a 3-D shape is extremely when deciding what materials to use and how much of them to use. When you know the volume of the different designs is helpful when deciding which material costs less to use but still meets requirements. For example, if you were trying to decide what material to fill your product with, and say the volume of your product is 36^3. You narrow things down to two products, one costing $54 to fill the entire thing. The other costing $60. Because you have the volume, it will be easy to decide which is better based off of the price per square inch. If you didn't have the volume. You would have to make an estimate and potentially make a bad business decision.
Hope this helps! I apologize for my long response
Answer:
slope = 3
Step-by-step explanation:
to find the slope you do (y2-y1)/(x2-x1)=m
so we can plug the points into this formula
(5,7) (2,-2)
x1 y1 x2 y2
-2-7/2-5=m
-9/-3=m
Simplifies to
3=m