Find the sum and express it in simplest form (8a^2 + 6a + 5) + (-3a^2 - 2a)
2 answers:
What we are going to do with this problem is combine all the like terms.
so to begin, we notice that there are two numbers with a^2 involved, and two numbers with an a.
thus:
8
+(-3 is going to equal 5
because adding a negative is just like subtracting.
then we move on to (6a)-(2a) giving us 4a
5 is the only term that stays the same because there are no other similar terms.
last but not least, put the equation together!
answer: 5+4a+5
so to begin, we notice that there are two numbers with a^2 involved, and two numbers with an a.
thus:
8
then we move on to (6a)-(2a) giving us 4a
5 is the only term that stays the same because there are no other similar terms.
last but not least, put the equation together!
answer: 5
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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