-8
f(-1/2)=10(-1/2)-3
f(-1/2)=(-5)-3
f(-1/2)=-8
Answer:
11/16 inch or 0.6875 inch
Step-by-step explanation:
26 * x = 17 7/8
17 7/8 = 143/8
143/8 ÷ 26 = 143/8 x 1/26 = 143/208 = 0.6875
0.6875 in = 11/16 in
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-Chetan K
Check
11/16 x 26 = 17.875 or 17 7/8
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)
Answer: $22.50
Step-by-step explanation:
25% of 30 = 7.5
30 - 7.5 = 22.50
Answer:
therefore x = 600 mph
therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
Step-by-step explanation:
i) Two planes are 2725 miles apart and are travelling towards each other.
ii) One plane is travelling 110 mph faster than the other plane.
iii) the planes pass each other in 2.5 hours
iv) let the speed of one plane be x mph
v) let the speed of another plane be y mph
vi) therefore x - y = 110 mph
vii) and also x + y = 2725/2.5 = 1090
viii) adding the equation in vi) to the equation in vii) we get 2x = 1200
therefore x = 600 mph
ix) therefore the speed of the other plane y = x - 110 = 600 - 110 = 490 mph
