Expert: Paul Klarreich - 2/5/2006

Question
1. The valley high school student council is sponsoring a dance. They anticapte that 500 student will attend. The ticket priceis $3, and they estimate that for every $.20 increase in ticket price, 25 fewer students will attend. What ticket price will maximize the student council's profit ?

2. A rocket is shot straight into the air at an intial velocity of 96 ft./sec. The height of the rocket after x seconds is represented by the formula h=96x-16x^2. What is the maximum height the rocket reaches ?

3. Which term is the linear term in  the equation y=2x^2-3x+5 ?

4. Idfentify the y-intercept for the equation defined by  y=(x-1)^2+2

5.Identfiy the directionof the opening of the parabola defined by y=2x-8-x^2.

6. The formula x= 5 ± sqrt(-5)^2 - (4)(3)(9)/ 2(3)
is used to solve which of following.
a. 2 ± sqrt(2)/3
b.-2 ± sqrt(2)/3
c.2 ± sqrt(20/3
d.-2 ± sqrt(2)/3
7.Iddebtify the solutions to the equation the equation 3x^2-4x=-2 when you solve to use the quadratic equation.
8. Which equation has the solutions x=1/2 and x=3/4
a. 8x^2+10x+3=0
b. 8x^2-10x-3=0  
c.8x^2+10x-3=0
d.8x^2-10x+3=0


Answer
Hi, Gemini,

You have asked a lot of questions here.  The purpose of this site is not to have someone do your homework for you -- there are other sites for that.  (Try AOL, or others)  

I just finished answering items 4 and 5 for your friend (I'm sure) Megan.  I suggest you two get together and send along only those questions that are stumping you both.  If you are having this much trouble with the subject, perhaps you are not prepared for it.

So next time, pick one or two that you are really having trouble with, and I'll be glad to help.




You wrote:

Subject:  Alg. 2
Question:  1. The valley high school student council is sponsoring a dance. They anticapte that 500 student will attend. The ticket priceis $3, and they estimate that for every $.20 increase in ticket price, 25 fewer students will attend. What ticket price will maximize the student council's profit ?

2. A rocket is shot straight into the air at an intial velocity of 96 ft./sec. The height of the rocket after x seconds is represented by the formula h=96x-16x^2. What is the maximum height the rocket reaches ?

3. Which term is the linear term in the equation y=2x^2-3x+5 ?

4. Idfentify the y-intercept for the equation defined by y=(x-1)^2+2

5.Identfiy the directionof the opening of the parabola defined by y=2x-8-x^2.

6. The formula x= 5 ± sqrt(-5)^2 - (4)(3)(9)/ 2(3)
is used to solve which of following.
a. 2 ± sqrt(2)/3
b.-2 ± sqrt(2)/3
c.2 ± sqrt(20/3
d.-2 ± sqrt(2)/3
7.Iddebtify the solutions to the equation the equation 3x^2-4x=-2 when you solve to use the quadratic equation.
8. Which equation has the solutions x=1/2 and x=3/4
a. 8x^2+10x+3=0
b. 8x^2-10x-3=0
c.8x^2+10x-3=0
d.8x^2-10x+3=0