7/5y. you add the 2/5y to the 5/5y and get 7/5y
Answer:
The change is a loss of 10 yards, so -10 yards.
Step-by-step explanation:
The total change in yardage after 2 plays is the sum of the yardage of each play.
What lost yardage means?
Lost yardage means negative yardage.
Imagine that in a Buffalo Bills game, Devin Singletary lost 2 yards on his first carry. So his total yardage is -2.
If in the next carry he gets 3 yards, his total yardage is 1. If he loses 1, his total yardage is -3.
First play
Loss of 5 yards.
So the first play counts for -5 yards.
Second play
Loss of 5 yards.
So the second play counts for -5 yards.
Total
-5 - 5 = -10
The change is a loss of 10 yards, so -10 yards.
Answer:
Elizabeth got the better deal
Step-by-step explanation:
Elizabeth bought 4 books for £28 = £28/4 = £7 per book
Success bought 7 books for £63 = £63/7 = £9 per book
Just like at any other time, to add/subtract fractions you need a common denominator.
14)
1/(x^2+2x)+(x-1)/x=1 so we need a common denominator of x(x^2+2x)
[1(x)]/(x(x^2+2x))+[(x-1)(x^2+2x)]/(x(x^2+2x))=[1(x(x^2+2x))]/(x(x^2+2x))
now if you multiply both sides of the equation by x(x^2+2x) you are left with:
x+(x-1)(x^2+2x)=x(x^2+2x)
x+x^3+2x^2-x^2-2x=x^3+2x^2
x^3+x^2-x=x^3-2x^2
x^2-x=-2x^2
3x^2-x=0
x(3x-1)=0, x=0 is an extraneous solution as division by zero is undefined. So the only real solution is:
x=1/3
...
16)
(r+5)/(r^2-2r)-1=1/(r^2-2r) the common denominator we need r^2-2r so
[r+5-1(r^2-2r)]/(r^2-2r)=1/(r^2-2r), multiplying both sides by r^2-2r yields:
r+5-r^2+2r=1
-r^2+3r+5=1
-r^2+3r+4=0
r^2-3r-4=0
(r-4)(r+1)=0, r^2-2r cannot equal zero, r(r-2)=0, r cannot equal 0 or 2...
r=-1 or 4
