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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
The relation is the set of ordered pairs of point drawn in the graph
The points are:
(-2, 3), (0, 1), (2, -1), (3, -2)
So the relation is:
R = {(-2, 3), (0, 1), (2, -1), (3, -2)}
The domain is the values of x in the ordered pairs
x = -2, 0, 2, 3
The domain = {-2, 0, 2, 3}
The range is the values of y in the ordered pairs
y = 3, 1, -1, -2
Arrange them in the set
The range = {-2, -1, 1, 3}
Answer:
13m-2
Step-by-step explanation:
(20m+3)-(7m-5)
20m+3-7m+5
13m-2
Answer:
No
Step-by-step explanation:
