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>
Answer:
x= k/a-b
Step-by-step explanation:
Move all terms to the left side and set equal to zero as well as each factor.
Hope this helps.
It is 132 inches...............
Answer:
positive
Step-by-step explanation:
Using the acronym ASTC (all students take calculus), this means that if sin and tan are negative, they must be in the fourth quadrant, which means that cos is positive.
ASTC is an acronym to help students remember which of the three basic trigonometric functions are positive in which quadrants.
A: all
S: sin
T: tan
C: cos
It starts from the first quadrant: all the sin, tan, cos are positive in the first quadrant, only sin is positive in the second quadrant, only tan is positive in the third quadrant, only cos is positive in the fourth quadrant.
b = 3
500a + 1500(3) = 15000
500a + 4500 = 15000
500a = 10500
a = 21
She can buy 21 older games