a. By the fundamental theorem of calculus, the velocity function is

The particle starts at rest, so
, and we have

Then the position function is

with
, so

b. The particle is at rest whenever
; this happens for

where
is any integer.
Axis of symmetry: x=1
Vertex: (1, -24)
Explanation:
6x²-12x-25=-7
6x²-12x-18=0
a=6, b=-12, c=-18
Formula of axis of symmetry: x=-b/2a
x=-b/2a
x= -(-12)/2(6)
x= 12/12
x= 1
Vertex: (1,?)
Sub x= 1 into the equation,
6(1)² - 12(1) - 18 = y
6 - 12 - 18 = y
y = -24
Answer:
b. 4/9
Step-by-step explanation:
The probability of selecting either two white or blue tiles and square and round tile is 4. The two white tiles could either be square and round, square, round, or the white tiles could be either square and round, round or square. Each tile has four possible outcomes blue,white, square,round.
First you would take both radius' and add them. Once you add them, subtract the sum by 42. that will give you the distance between the gap of the circles. now that you have that distance, add 19 and 11 and your result is your final answer.
Answer:
5 - 2x
Step-by-step explanation:
It mentions that twice a number is subtracted from the number 5. So 2x is subtracted from 5 ( 5 - 2x )