Answer:
a. V = (20-x)
b . 1185.185
Step-by-step explanation:
Given that:
- The height: 20 - x (in )
- Let x be the length of a side of the base of the box (x>0)
a. Write a polynomial function in factored form modeling the volume V of the box.
As we know that, this is a rectangular box has a square base so the Volume of it is:
V = h *
<=> V = (20-x)
b. What is the maximum possible volume of the box?
To maximum the volume of it, we need to use first derivative of the volume.
<=> dV / Dx = -3
+ 40x
Let dV / Dx = 0, we have:
-3
+ 40x = 0
<=> x = 40/3
=>the height h = 20/3
So the maximum possible volume of the box is:
V = 20/3 * 40/3 *40/3
= 1185.185
Answer:
x+10 x ≠ 60
Step-by-step explanation:
(x^2−50x−600)
----------------------
(x−60)
Factor the numerator
(x-60)(x+10)
-------------------
(x-60)
Cancel the like terms
x+10
Okay so there are 100 white balloons, 200 pink balloons, and we are specified that the ratio of pink to yellow is 10:1 soo we can plug 200:20 which can be simplified to 100:10 which can then be simplified to 10:1 there is our ratio. So there are 29 yellow balloons. Therefore there are only 80 balloons left which would mean there are 80 blue balloons!:)
Answer:
option 1 and option 2 should be correct