Answer:
-6r+6
Step-by-step explanation:
Given data
We are given the expression
8-(6r+2)
let us expand it by opening the bracket
=8-6r-2
collect like terms
=8-2-6r
=6-6r
rearrange
=-6r+6
Hence option A is correct
Answer:
4/6 or 2/3
Step-by-step explanation:
Using Common denominators:
3/6 = 1/2
1/6 + 3/6 = 4/6
This can reduce to 2/3
Step-by-step explanation:
1) let the number=x
six times a number=6x
Condition:
6x+4=22
2) eleven times a number=11x
Condition:
11x-5=50
3) 9 times a number=9x
Condition:
9x-7=-16
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(d) The particle moves in the positive direction when its velocity has a positive sign. You know the particle is at rest when
and
, and because the velocity function is continuous, you need only check the sign of
for values on the intervals (0, 3) and (3, 6).
We have, for instance
and
, which means the particle is moving the positive direction for
, or the interval (3, 6).
(e) The total distance traveled is obtained by integrating the absolute value of the velocity function over the given interval:

which follows from the definition of absolute value. In particular, if
is negative, then
.
The total distance traveled is then 4 ft.
(g) Acceleration is the rate of change of velocity, so
is the derivative of
:

Compute the acceleration at
seconds:

(In case you need to know, for part (i), the particle is speeding up when the acceleration is positive. So this is done the same way as part (d).)
Answer:
15
Step-by-step explanation: