Answer:
wowza
Step-by-step explanation:
that looks hard
9514 1404 393
Answer:
(a) A'(-2, 1), B'(-4, -3), C'(-7, 0)
Step-by-step explanation:
If X is the center of rotation, the coordinates of point P are transformed like this:
P' = -(P -X) +X
P' = 2X -P
(x, y) ⇒ (2(-5) -x, 2(3) -y)
(x, y) ⇒ (-10-x, 6-y)
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Your points are transformed to ...
A(-8, 5) ⇒ (-10-(-8), 6-5) = A'(-2, 1)
B(-6, 9) ⇒ (-10-(-6), 6-9) = B'(-4, -3)
C(-3, 6) ⇒ (-10-(-3), 6-6) = C'(-7, 0)
These coordinates match the first choice.
Answer:
a) x-4+9
b) x-2
For part b, I am not 100% sure about my answer, but I am sure about part a.
Answer:

Step-by-step explanation:
There are 125 members.
89 of them preferred pizza and 23 of 89 preferred punch, so 89-23=66 preferred only pizza.
52 members preferred punch, 23 of them preferred both pizza and punch, so 52-23=29 preferred only punch.
Now,
66 members preferred only pizza,
23 members preferred both,
29 members preferred only punch,
125-66-23-29=7 members did not prefer both
The two-way table is

Answer:
- -108.26
- -108.13
- -108.052
- -108.026
- -108
Step-by-step explanation:
A graphing calculator or spreadsheet is useful for making the repeated function evaluations required.
The average velocity on the interval [a,b] will be ...
v avg = (y(b) - y(a))/(b-a)
Here, all the intervals start at a=3, so the average velocity for the given values of t will be ...
v avg = (y(3+t) -y(3))/((3+t) -3) = (y(3+t) -y(3))/t
This can be computed for each of the t-values given. The results are shown in the attached table.
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We note that the fractional part of the velocity gets smaller in proportion to t getting smaller. We expect it to go to 0 when t goes to 0.
The estimated instantaneous velocity is -108 ft/s.
_____
We can simplify the average velocity equation to ...
v avg = ((48(3+t) -26(t+3)^2) -(48(t+3) -26(3)^2)) / t
= (48t -26(t^2 +6t))/t
= 48 -26t -156
<em> v avg = -108 -26t</em>
Then the average velocity at t=0 is -108.