Answer:
- x = 4
- length = 19 ft
- width = 11 ft
Step-by-step explanation:
The area is given by the product of length and width.
A = LW
209 = (4x +3)(4x -5)
209 = 16x^2 -8x -15
224 = 16x^2 -8x
You could rearrange and use the quadratic formula at this point, but we elect to "complete the square".
14 = x^2 -(1/2)x
14 +1/16 = x^2 -1/2x +(1/4)^2 . . . . . add the square of half the x-coefficient
(x -0.25)^2 = 14.0625
x = 0.25 ± 3.75 . . . . . . take the square root; add 0.25
Only positive values of x are useful here, so we have
x = 4
Then the dimensions are ...
length = 4x +3 = 4(4) +3 = 19 . . . feet
width = 4x -5 = 16 -5 = 11 . . . feet
If Fiona is to divide the first expression by the second one, clearly only the first term of the first expression is divisible. The remaining terms of the fist expression will remain as the remainder. The remainder from the division done by Fiona should be 5x - 3.
Answer:
$405.60
Step-by-step explanation:
If Isaac works for 40 hours will earn $8.45×40=$388. Since he worked 4 extra hours, he will earn $8.45×2×4 since he worked 4 extra hours. $8.45×2=$16.90, which is the amount he earns for every extra hour he works. $16.90×4=$67.60. Now if we add $67.60+$388=$405.60.
Hope this helps!
Answer:
The only one that applies is g = 6 because 102 divided by 6 is 17 which is less that 33 and all the other answers are greater that 33.
Hope this helps!
Step-by-step explanation:
