Answer:
f(7) = 22 or x =2
Step-by-step explanation:
- f(x) = 3x + 1
- f(7) = 3(7) + 1
- f(7) = 21 + 1
- f(7) = 22
<u>Or if the equation meant it like this:</u>
- f(x) = 3x + 1
- 7 = 3x + 1
- 6 = 3x
- 2 = x
Answer: rhombus, rectangle, and square — are so-called because they’re special cases of the parallelogram.
Step-by-step explanation:
Answer:
Radius of the sphere is 5m.
Step-by-step explanation:
We have given the volume of sphere 
we have to find the radius of the sphere
On substituting the given value of volume of sphere we get
After simplification we get:
Hence, the radius of sphere is 5m
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>
