Point slope formula: y-y1=m(x-x1). Answer: y-7=6(x-(-4))
Answer:
Average velocity is 32 miles/hr.
Step-by-step explanation:
Given that a particle moves on a line away from its initial position so that after t hours it is 
miles from its initial position.
We have to find the average velocity of the particle over the interval [1, 4].
As, average velocity is the change is position over the change in time.
∴ 
=
Hence, average velocity is 32 miles/hr.
I am using "x" but alphabet letter does not matter.
#9
Words: x is greater than or equal to -4
Algebra: x ≥ -4
Possible solutions: 0,1,2
#13
Words: x is greater than 0
Algebra: x > 0
Possible solutions: 1,2,3
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:
Answer is B
Step-by-step explanation:
I took the test
