so, no breaks on the denominator thus, the LCD will be all three then.
![\bf \cfrac{3}{x-2}+\cfrac{4}{x-1}-\cfrac{1}{x}\implies \cfrac{[3x(x-1)]+[4x(x-2)]-[(x-2)(x-1)]}{x(x-2)(x-1)} \\\\\\ \cfrac{[3x^2-3x]+[4x^2-8x]-[x^2-3x+2]}{x(x-2)(x-1)} \\\\\\ \cfrac{3x^2-3x+4x^2-8x-x^2+3x-2}{x(x-2)(x-1)} \\\\\\ \cfrac{6x^2-8x-2}{x(x-2)(x-1)}\implies \cfrac{2(x^2-4x-1)}{x(x-2)(x-1)}](https://tex.z-dn.net/?f=%5Cbf%20%5Ccfrac%7B3%7D%7Bx-2%7D%2B%5Ccfrac%7B4%7D%7Bx-1%7D-%5Ccfrac%7B1%7D%7Bx%7D%5Cimplies%20%5Ccfrac%7B%5B3x%28x-1%29%5D%2B%5B4x%28x-2%29%5D-%5B%28x-2%29%28x-1%29%5D%7D%7Bx%28x-2%29%28x-1%29%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B%5B3x%5E2-3x%5D%2B%5B4x%5E2-8x%5D-%5Bx%5E2-3x%2B2%5D%7D%7Bx%28x-2%29%28x-1%29%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B3x%5E2-3x%2B4x%5E2-8x-x%5E2%2B3x-2%7D%7Bx%28x-2%29%28x-1%29%7D%0A%5C%5C%5C%5C%5C%5C%0A%5Ccfrac%7B6x%5E2-8x-2%7D%7Bx%28x-2%29%28x-1%29%7D%5Cimplies%20%5Ccfrac%7B2%28x%5E2-4x-1%29%7D%7Bx%28x-2%29%28x-1%29%7D)
That should be the answers
Answer:
A) Lexi is 15 and Tanner is 18
B) Enrique has 24 magnets and Peter has 88 magnets
Step-by-step explanation:
1.
t = 3 + l
t + l = 33
substitute:
(t) + l = 33
(3 + l) + l = 33
3 + 2l = 33
-3 -3
2l = 30
/2 /2
l = 15
Lexi is 15
solve for t:
t + 15 = 33
-15 -15
t = 18
Tanner is 18
2.
e = p - 64
e + p = 112
substitute
(e) + p = 112
(p - 64) + p = 112
2p - 64 = 112
+ 64 +64
2p = 176
/2 /2
p = 88
Peter has 88 magnets
e + (p) = 112
e + 88 = 112
- 88 - 88
e = 24
Enrique has 24 magnets
Answer:
12 cubic ft.
Step-by-step explanation:
A=bh=4(3)=12 ft^3
Should be 64 degrees as the two angles are on a plane which is 180 degrees. and 180 minus what is given (116) would come out to 64.
