Find the reciprocal of the rational expression. (y^2 - 3y + 2)/ (y^2 - 4)

The length of a rectangle is 5 inches more than the width. The perimeter is 38 inches. Find the length and width.

1) l=w+5
2) 2(l+w)=38
from 2)
l+w=19

so that
w+5+w=19
2w=14
w=7

l=7+5=12

Solve the inequality. Express the final answer in interval notation. -5(2x-3)≤-2(x+7)

we'll move the term with the greatest absolute value so that we can avoid dividing by a negative number:









rewriting so that the variable is on the left...

Solvbe: 1/5 + 1/x = 1/8

moving terms...



common denominator...






taking reciprocal...

What is the nearest number to 10000 which is divisible by 2,3,4,5,6,7,8,9,11?

Your Answer:

we'll get 2,3,4,6 from 8 and 9, so we'll need a 5, a 7, an8, a 9 and an 11:
11*9*8*7*5=27720

Find the value of x Right triangle with the sides x, 2x+4, 2x+6

sides: x, 2x+4=2(x+2), 2x+6=2(x+3) 
so we write: 

 
 
 

 
 
 
 
which gives us x=-2 or x=10 
but x>0 

so only x=10 works :) 

Fractions

If somebody could please help me on a college algebra problem. I need to simplify this problem : 5/6*(2/3-1/6)+7/18 I started out by reducting it to (4/6 - 1/6) 5/6*3/6+7/8 than somehow got 15/6+7/8 but than i got stuck. So could somebody please help me and show me how to do this? That'd be great. Thank you! :)

:)