Answer:
Every gallon costs $4.20
Step-by-step explanation:
If you divide the money he spent and the gallons he needed, you come up with a total price of $4.20 a gallon. For the amounts of gallons he could get with $40 bucks, he would have 9.5 gallons, as you just need to divide 40 by 4.2. I hope this helps :)
Answer:
a.11x-16
Step-by-step explanation:
3x+(8x-16)you multiply the signs in the bracket
that is 3x+8x-16
=11x-16
Answer:
log[3(x+4)] is equal to log(3) + log(x + 4), which corresponds to choice number three.
Step-by-step explanation:
By the logarithm product rule, for two nonzero numbers
and
,
.
Keep in mind that a logarithm can be split into two only if the logarithm contains the product or quotient of two numbers.
For example,
is the number in the logarithm
. Since
is a product of the two numbers
and
, the logarithm
can be split into two. By the logarithm product rule,
.
However,
cannot be split into two since the number inside of it is a sum rather than a product. Hence choice number three is the answer to this question.
Answer:
For w = 18 units perimeter is minimum
P = 2(18 + w)
Step-by-step explanation:
Given;
Area of the rectangle = 324 units²
P is the perimeter
w is the width
Let L be the length of the rectangle
therefore,
P = 2(L + w) ............(1)
also,
Lw = 324
or
L =
..........(2)
substituting 2 in 1
P = 
now,
for minimizing the perimeter
= 0
or
= 0
or
= 0
or
= -1
or
w² = 324
or
w = 18 units
For w = 18 units perimeter is minimum
therefore,
from 2
L = 
or
L = 18 units
objective function for P is:
P = 2(18 + w)
the answer is going to be 7