Answer:
L(x) = 11 - 2x
W(x) = 8.5 - 2x
V(x) = 4x³ - 39x² + 93.5x
Step-by-step explanation:
If a square of x sides length is cut from each corner of the sheet, then it meas the length and width of the box a shortened by x inces from each side, giving a total subtraction of 2 times x inches.
FORMULA FOR LENGTH:
Since, Length is the bigger side of the box. Therefore, it will be taken on 11 inches side of the paper:
<u>L(x) = 11 - 2x</u>
FORMULA FOR WIDTH:
Since, width is the smaller side of the box. Therefore, it will be taken on 8.5 inches side of the paper:
<u>W(x) = 8.5 - 2x </u>
FORMULA FOR VOLUME:
Volume is the product of length, width and time:
V(x) = L(x)*W(x)*H(x)
Height must be equal to the side folds which are equal to length of the side of square = x:
H(x) = x
Therefore,
V(x) = (11 - 2x)(8.5 - 2x)(x)
V(x) = (93.5 -22x -17x + 4x²)(x)
<u>V(x) = 4x³ - 39x² + 93.5x</u>
1. 2 (x + 3) = x - 4
2x + 6 = x- 4
2x - x = -4 - 6
x = -4 + -6 = -10.
x = 10
2. 4 (5x - 2) = 2 (9x + 3)
20x - 8 = 18x + 3
20x - 18x = 3 + 8
2x = 11
x = 11/2 = 5.5
x = 11/2 or 5.5
These are the Answers.
Thank You!
Please mark me the Brainliest.
Number of exams per semester = 5
Average of first four exams = 90
Therefore,
Total of first four exams = 90*4 = 360 marks
Based on 5 exams,
Average = 360/5 = 72
$4.50
divide $1.35 by 3 to find the initial cost and then time that number by 10 and you get $4.50 bye now bukaroo
Answer:
Step-by-step explanation:
