The answer and work are shown by the picture given.
Answer:
The inequality that you have is
. You can use mathematical induction as follows:
Step-by-step explanation:
For
we have:


Hence, we have that 
Now suppose that the inequality holds for
and let's proof that the same holds for
. In fact,

Where the last inequality holds by the induction hypothesis.Then,




Then, the inequality is True whenever
.
Parallel to y = 3/4x - 9 and passes through (-8, -18)
Identify the slope : our slope is 3/4
Remember that parallel equations have the same slope, so both slopes are 3/4
Now, we have to find the y-intercept. Simply plug everything into the slope intercept form equation.
y = mx + b
(-18) = (3/4)(-8) + b
Simplify.
-18 = -6 + b
Add 6 to both sides.
-18 + 6 = b
Therefore, our y-intercept is -12.
Now plug everything into the slope intercept form.
y = mx + b
y = 3/4x - 12
~Hope I helped!~
Answer: yes
Step-by-step explanation:
Answer: Centripetal acceleration is the idea that any object moving in a circle will have an acceleration vector pointed towards the center of that circle. Centripetal means towards the center. Even an object moving at a constant speed around a circle won't have a constant velocity.