Answer:
Volume = 
cubic centimeter
Step-by-step explanation:
Let the length of each side of the base of the box be A and the height of the box be H.
Area of material required to make the box is equal to is 
Rearranging the above equation, we get -
Volume of box is equal to product of base area of box and the height of the box -
Substituting the given area we get -
For maximum volume
Volume of the box
= 
= cubic centimeter
This is a working backwards problem. You know he has $35 at the end. Before he gave his brother $5, he would have $40, which is half of what he had before he bought the clothes, so he would have had $80. Before he spent the $40 on shoes, he would have had $120, so the answer is $120.
Percent change = change/original * 100
(2.65 - 2.30)/ 2.65 * 100
.35/2.65 * 100
13.2 % decrease
-13.2% if you need to write is as a negative
Answer:
Option B. -j = -h/-k is not correct
Step-by-step explanation:
As from the given scenario both the negative signs will be cancelled out giving positive j : -h/-k = -j
First option has: -j = -h/k In this case also the negative sign from both sides would be cancelled out.
Second option has: -h/-k = -j In this case negative signs cannot be cancelled out.
Third option has: h/-k = -j , negative sign would be cancelled from both sides.
Fourth option has: h/k = j , no negative sign on either side.
i hope it will help you!
<h3>
Answer: Choice A</h3>
Domain = (a,b]
Range = [mc + n,md + n)
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Explanation:
The domain stays the same because we still have to go through f(x) as our first hurdle in order to get g(x).
Think of it like having 2 doors. The first door is f(x) and the second is g(x). The fact g(x) is dependent on f(x) means that whatever input restrictions are on f, also apply on g as well. So going back to the "2 doors" example, we could have a problem like trying to move a piece of furniture through them and we'd have to be concerned about the f(x) door.
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The range will be different however. The smallest value in the range of f(x) is y = c as it is the left endpoint. So the smallest f(x) can be is c. This means the smallest g(x) can be is...
g(x) = m*f(x) + n
g(x) = m*c + n
All we're doing is replacing f with c.
So that means mc+n is the starting point of the range for g(x).
The ending point of the range is md+n for similar reasons. Instead of 'c', we're dealing with 'd' this time. The curved parenthesis says we don't actually include this value in the range. A square bracket means include that value.
