Step-by-step explanation:
A)
The length of the box is 30 − 2x inches.
The width of the box is 30 − 2x inches.
The height of the box is x inches.
So the volume is:
V = x (30 − 2x)²
B)
V(3) = 3 (30 − 6)² = 1728
V(4) = 4 (30 − 8)² = 1936
V(5) = 5 (30 − 10)² = 2000
V(6) = 6 (30 − 12)² = 1944
V(7) = 7 (30 − 14)² = 1792
As x increases, the volume of the box increases to a maximum and then decreases.
C)
The ends of the domain occur when V = 0.
0 = x (30 − 2x)²
x = 0 or 15
So the domain is (0, 15).
Answer:
115.5 tickets sold.
Step-by-step explanation:
Finding the percent of something is the same as multiplying by that percent as a decimal. So, 70% = 0.70.
0.70 x 165 = 115.5 tickets sold.
You have two equations.
since the second is already isolated, sub in x-4 for every y in equation 1 so that
![x^{2} - 4 [(x-4)^{2}] =16 ](https://tex.z-dn.net/?f=%20x%5E%7B2%7D%20-%204%20%5B%28x-4%29%5E%7B2%7D%5D%20%3D16%0A%20)
expand, collect like terms, factor to find x, then plug x value back into original equation to find y
Answer:240
Step-by-step explanation:
120
× 12
------
240
Rewrite it to simplify using order of operations.
P E M D A S
() ^2 × ÷ + -
So nw it's
5-1-(9÷3)-9
no now it's
(5-1)-(3-9)
4-(-6) I wrote the negative in parentheses to show its not an additional subtraction sign. also if you look it's sort of a plus sign. so when you subtraction (-6) from 4 it's actually 4+6
4-(-6)=10.
that's what I got. hope this helps.
