Question

Daniela teaches Ballet. She charges a one−time processing fee of $3.00 and the cost of each class is shown below. Let x represent the number of classes and y represent the cost of classes. Based on this information, what will it cost, in dollars, to take 6 classes? (Do not put a $ in your answer.)

Cost of classes (not including processing fee)
Number of Classes, x 1 2 3 4
Cost of Classes, y $16.00 $30.00 $56.00 $108.00

Answer 1

okay, can someone please help explain this to me? Ive become so confused trying to figure it out.

Answer 2

1. A punter kicks a football upward with an initial speed of 48 feet per second. After how many seconds does the ball hit the ground? Use the formula h = rt − 16t2 where h represents height in feet and r represents the initial speed.


2. What is the slope of a line that passes through the point (−2, 3) and is parallel to a line that passes through (3, 7) and (−2, −8)?

3. Given the function g(x) = 8x − 2, find g(−2).


I also need help with these three. Please, if anyone can help, please, I really need it!

Answer 3

you can ignore the three on the bottom for now, I just really need help with the first one

Answer 4

Are you sure the prices are correct? I found this http://openstudy.com/study#/updates/4f52be31e4b019d0ebb05997 very similar question, but the prices differ. Hmm

Answer 5

yeah, im sure. I got 143 as my answer for this one though...

Answer 6

is that right?

Answer 7

What did you do to get that answer? :-)

Answer 8

108+16+16=140
140+3=143?

Answer 9

thats what the others guy did to get his, but idk if its the correct way to solve this?

Answer 10

Hmm, but what if we take 3 blocks of 2 classes? That would be 90$ + 3 = 93. For the other problem, the prices were in progression. This does not seem to be the case.

Answer 11

ohhh, okay, so then how would we solve this one?

Answer 12

I should probably note that I have a time limit, I hate to rush but its getting close to the end...

Answer 13

Do you have answer choices?

Answer 14

no, it just has a blank box to write in...

Answer 15

I wil keep thinking, but if anything, try your answer.

Answer 16

if I did, im sure this would be much easier, lol

Answer 17

okay, 143 is going in the box... lol :)

Answer 18

could you possibly help with the others now?

Answer 19

Well, for the punt, you have the height (0) and the initial speed. Solve the quadratic for t :-)

Answer 20

And pick the largest t value :-)

Answer 21

okay:

-16t^2 + 48t = 0

Factor out -16t
-16t(t + 3) = 0

Two solutions
t = 0, when it begins it's upward journey
and
t = 3 sec, when it returns to earth

so t = 3 is the answer?

Answer 22

For this one: Given the function g(x) = 8x − 2, find g(−2). Plug in x = -2 and do the arightmetic.

Answer 23

Yup, seems correct. Let me check it.

Answer 24

Correct.

Answer 25

and for the second one I got g = 1-4x? is that right?

Answer 26

No, it should be a number:
g(-2) = 8(-2) - 2.

Answer 27

not the second one, the third one, sorry, lol

Answer 28

Do you mean the line?

Answer 29

ohh hold on one sec

Answer 30

g = 9?

Answer 31

y=3x-2 is the equation for the line that passes through those two points, now onto finding a parallel that passes through (-2,3)

And no, it's -16 -2 = -18 :-)

Answer 32

The equation is y = 3x + 9.

Answer 33

so the slope would be 3 right?

Answer 34

Yup.

Answer 35

yay! awesome okay now let me just clarify:

1. 3
2. 3
3. g = -18

right

Answer 36

g(-2) = -18, but I think you only have to enter -18.

Answer 37

okay, ill just do that, btw, could you also check two problems for me?

Answer 38

What is the y coordinate of the y−intercept of the line that passes through the points
(−3, −1) and (1, 7)?

My answer for this is (0,5), is that right?

19. What is the slope of the line passing through the point (4, −3) and perpendicular to the line y = 2x + 1? Write your answer as a fraction.

I got (-1/2)x - 1 as my answer for this one, is that correct?

Answer 39

This one also:

Tyrone has a total of 50 DVDs and CD's. If the number of CDs is two more than three times the number of DVDs, how many CDs does he have?

I got 14

Answer 40

ill brb i have to go to the bathroom but please stick around I have some more questions that i want to ask you

Answer 41

im back, lol

Answer 42

The first one is correct.
For the last one
A + B = 50
3A + 2 = B
4A + 2 = 50
A = 48/4 = 12 = Number of DVD's
50 - 12 = 38, the number of CD's

Answer 43

And I have to go, I am sorry. Have to study for my exam later today. Cya and good luck :-)

Answer 44

okay, thanks for all of your help

Answer 45

bye bye and good luck on your exam!