70. 180-120=60, and 180-60+50=70
His answer was (x- +2) (x^2-9)
a) His mistake was he has x^2 in one of the parenthesis, to be fully factored you cannot have an exponent as part of the answer.
b) x^3 - 9x + 2x^2 -18
Reorder the terms:
x^3 +2x^2 -9x -18
Group the first two terms and the last two terms
(x^3 + 2x^2) -9x-18
Factor out the greatest common factor from each group:
x^2(x+2) - 9(x+2)
Factor the polynomial by factoring out the common factor once x+2:
(x+2) (x^2-9)
Rewrite 9 as 3^2:
(x+2) (x^2-3^2)
Factor one last time:
(x+2) (x+3) (x-3)
The unit rate would be:
180 mi/3h
=60 mi/h
Therefore the unit rate would be 60 miles per hour
This would equal about 23,900
i hope this helps you.
Answer:
75 minutes
Step-by-step explanation:
In this question, we are asked to calculate the time it will take a smaller hose out of two hoses to fill a swimming pool by itself.
Firstly, let’s say the volume of the swimming pool to fill is Xm^3.
Hence for both, the rate of filling is x/30 m^3/minutes. For the larger hose, rate will be x/50 m^3/minutes. For the larger hose, let the time taken be z minutes. It’s rate will be x/z m^3/minute.
Mathematically, adding both rates together give the rate of both at the same time. This means;
X/30 = x/50 + x/z
X/z = x/30 - c/50
x/z = 20/1500
x/z = 1/75
z = x/75
This means the time that it will take the smaller hose will be 75 minutes
