Answer:

that is the required inequality
To factor first multily 100 and 1 and get 100
then find what 2 numbers multiply to get 100 and add to get 20
the numbers are 10 and 10
so
split the center term up
100x^2+10x+10x+1
group
(100x^2+10x)+(10x+1)
undistribute
(10x)(10x+1)+(1)(10x+1)
undistribute/reverse distributive property
(10x+1)(10x+1)
(10x+1)^2
Answer:
18 2/3 miles. 4 x 2/3 =8/3 x 7 = 56/3 ÷3 = 18 2/3 miles.
translate each statement into mathematical language
length is nine inches less than twice width. L = 2W - 9
perimeter is 84 inches 2L +2W = 84
Substitute the expression for L (2W-9) for L in the second equation resulting in the follwing
2(2W-9) + 2W = 84
4W - 18 + 2W = 84
(4W+2W) = 84+18
6W = 102
W = 102/6 = 51/3
L = 2(51/3) - 9
= L= 17-9
L=6