The x is going by 15 and the y is going by 5
Answer: It takes Him 1/4 hours to decorate both signs,
Step-by-step explanation:
Hi, since the area of a rectangle is equal to:
Area: length x width
Replacing with the values given;
Sign 1 =A1 = 2/3 x 1/4 =1/6 ft2
Sign 2 =A2= 1/2 x 1/3 = 1/6 ft2
If we sum both areas:
A1 +A2 = 1/6 + 1/6 = 2/6 ft2 = 1/3 ft2 (total area)
Since it takes Roberto 3/4 hour to decorate a 1-square-foot sign:
For 1/3 ft2
3/4 hour x 1/3 ft2 = 1/4 h
ITt takes Him 1/4 hours to decorate both signs,
Answer:
Max vol = 2 cubic metres
Step-by-step explanation:
Given that from a square piece of cardboard paper of area size 9 m2 , squares of the same size are cut off from each corner of the paper.
Side of the square = 3m
If squares are to be cut from the corners of the cardboard we have the dimensions of the box as
3-2x, 3-2x and x.
Hence x can never be greater than or equal to 1.5
V(x) = Volume = 
We use derivative test to find the maxima

Equate I derivative to 0

If x= 3/2 box will have 0 volume
So this is ignored
V"(1/2) <0
So maximum when x =1/2
Maximum volume
=
cubic metres
Answer:
31.04%
Step-by-step explanation:
So he increased 17%, then increased 12%.
When he increased by 17%, his height was 117%, relative to his former height. 12% of 117% is 14.04%
So he increase 17%, then increased 14.04% ( of his original height) so his total growth was 31.04%