Answer:
x(x+1)²
Step-by-step explanation:
x is a common factor to all terms so the first step is to factor it out:
... x(x² +2x +1)
The quadratic factor is recognizable as the square (x+1)², so the factoring is ...
... x(x +1)²
Answer:
The maximum number of pounds p is 224
Step-by-step explanation:
Let
p ----> the maximum number of pounds he can pull without going over the weight limit
we know that
121 pound of rock in the wheelbarrow plus p pounds must be at most 345 pounds
In this problem the word "at most" means "less than or equal to"
so
The inequality that represent this situation is
solve for p
subtract 121 both sides
therefore
The maximum number of pounds is 224
Answer: 45 / 40 ft
Step-by-step explanation:
Given that She decides to change the width, the shorter side of the courtyard, from 45 ft to 40 ft. Which expression finds the change in the scale factor?
Actual width of shorter side = 45 ft
New width of shorter side = 40 ft
Scale factor is the ratio of the actual length to the new or intended length
Scale factor = Actual width / New width
Hence, scale factor :
45 ft / 40 ft
The answer will be Relational Expression as y and x are being compared, one being greater/smaller than the other.
Answer:
x=17
Step-by-step explanation:
8x+20=11x-31
We simplify the equation to the form, which is simple to understand
8x+20=11x-31
We move all terms containing x to the left and all other terms to the right.
+8x-11x=-31-20
We simplify left and right side of the equation.
-3x=-51
We divide both sides of the equation by -3 to get x.
x=17
