Answer:
y>4
Step-by-step explanation:
8y+9>41
subtract 9
8y>32
divide by 8
y>4
By 4 becuase this will change the -4y to -16y , then adding the 2 equations will eliminate y.
D
The dimensions that would result to maximum area will be found as follows:
let the length be x, the width will be 32-x
thus the area will be given by:
P(x)=x(32-x)=32x-x²
At maximum area:
dP'(x)=0
from the expression:
P'(x)=32-2x=0
solving for x
32=2x
x=16 inches
thus the dimensions that will result in maximum are is length=16 inches and width=16 inches
First off, you didn’t really ask a question you just told us what the thickness of the wood pieces are. But if you are trying to get a equal denominator you first write out the two fractions side by side and find a common denominator.
3/4 and 2/3
The lowest common denominator between 4 and 3 is 12 so in the first equation you multiply both the top and bottom by 3.
3/4 —> 3 times 3 is 9 and 4 times 3 is 12.
To make it 9/12
The second equation you do the same to make both the denominators equal but this time you multiply them by 4.
2/3 —> 2 times 4 is 8 and 3 times 4 is 12.
Making it 8/12
So side by side the two piece of wood started out as
3/4 and 2/3
But the first piece is bigger as it turned into
9/12 and 8/12