Answer:
f(x)=2+3x
f(x)=1+2x
f(x)=3+4x
Step-by-step explanation:
(Refer to picture)
I worked really hard on this, if it's wrong, I'm throwing hands, haha
I explained some things too, so zoom in for my ugly handwriting
If you can't read something, just ask and I'll clarify!
Answer:
The plates will not fit into the box.
Step-by-step explanation:
Each plate is 0.5 inches tall; therefore, the stack of 8 plates will have a height of .
Also, the diameter of the largest plate is 10 inches or has a radius of 5 inches, which matches the radius of the cylindrical box; therefore, we know that the stack of plates can fit into the base area of the cylindrical box.
What we want to figure out now is the height of the cylindrical box <em>to see if it is greater than or equal to 4 inches</em>—<em>the height of the stack of plates. </em>
The volume of a cylinder is , and since for our cylindrical box the volume is 150 cubic inches; therefore,
putting in and solving for height
we get
,
which is not greater than 4 inches, which means the plates will not fit into the box since the height of the stack is greater than the height of the box.