Answer is (x-1)and (x-2).First make the equation 3x^2- 9x+6=0. then divide both sides by 3 and then the two factors are (x-1)(x-2)
The answer is 177/8 or one hundred seventy seven over eigth.
1/8(8x + 15) = 24
Multiply both sides by 8:
8* 1/8(8x + 15) = 8 * 24
8x + 15 = 192
Subtract 15 from both sides:
8x +15 - 15 = 192 - 15
8x = 177
Divide both sides by 8:
8x/8 = 177/8
x = 177/8
1030 .......................
ANSWER: 1:42 PM
First find how many hours 71/2 hours is. Half of 71 is 35.5. Do one day back... So 35.5 hour becomes 11.5 hours and 2:12 AM still stays the same. Now take away 30 min (0.5) from 11.5 hours and from 2:12 AM. Now the numbers are 11 hours and 1:42 AM. Subtract 1 hour from both amounts, 10.5 hours and 12:42 PM. Now, subtract 11 hours from both amounts again. 0 hours left and 1:42 PM.
Assign the following variables for the origina3l rectangle:
let w = width let w + 8 = length and the area would be w(w + 8) = w² + 8w
No for the second rectangle:
let (w + 4) = width and (w + 8 - 5) or (w + 3) = length
Area = length x width or (w + 4)(w + 3) = w² + 3w + 4w + 12 using the foil method to multiply to binomials. Simplified Area = w² + 7w + 12
Now our problem says that the two area will be equal to each other, which sets up the following equation:
w² + 8w = w² + 7w + 12 subtract w² from both sides
8w = 7w + 12 subtract 7w from both sides
w = 12 this is the width of our original rectangle
recall w + 8 = length, so length of the original rectangle would be 20
