Step-by-step explanation:
Part A:
So the height is going to be x when you fold the sides up. So that's one part of the volume but for the width it was going to be 4 but since two corners were cut out with the length x the new width is going to be (4-2x). The same thing applies for the length which should be 8 inches but since two corners were removed with the length x it's now (8-2x)
v = x(4-2x)(8-2x)
Part B:
The volume can be graphed although there must be a domain restriction since the height, width, or length cannot be negative. So let's look at each part of the equation
so for the x in front it must be greater than 0 to make sense
for the (4-2x), the x must be less than 2 or else the width is negative.
for the (8-2x) the x must be less than 4 or else the length is negative
so the domain is going to be restricted to 0 < x < 2 so all the dimensions are greater than 0
By using a graphing calculator you can see the maximum of the given equation with the domain restrictions is 0.845 which gives a volume of 12.317
Answer:
x5y2−x2y4
Step-by-step explanation:
There are no like terms. Therefore the answer is correct. =x^5y^2−x^2y^4
8+2x is the answer. The rest of these characters is for the >20 rule
Assuming that the fee is purely based on duration, the equation would look like this:
c= a*p
where c= cost, a= rates per hour, p= hours of parking
Alexandra pays 7$ for 3 hours parking. So, a would be:
c= a*p
7$= a * 3 hr
a= 7$/3hr
Then the final equation would be:
c= (7/3) *p
Answer:
325
Step-by-step explanation:
She starts the year with 27 followers
the year contains 12 months,
therefore you will have to multiply 27 by 12
which is equal to 325
