goldmind

The graph of y= -5x^2+9 passes through (1,2a) in the standard (x,y) coordinate plane. What is the value of a?

Discount tickets to a basketball tourney sell for $4.00 each. Enrico spent $60.00 on discount tickets, $37.50 less than if he had bought the tickets at the regular price. what was the regular ticket price?

For what value of a would the following system of equations have an infinite number of solutions?
2x-y=8
6x-3y=4(a)

goldmind

bump. bump! come on you guys, these should be simple for most of yall!

Trixzoh

Ok, so I think you would just plug in the coordinates in the equations and solve for a,

Enrich bought 15 tickets, so $60+$37.50= x = 97.5/15= $6.50

The third one I'm not sure, but just solve for one variable at a time

goldmind

bump for the last one you guys!!!!

huehuehue32

Multiply the top equation by three so the two match.
6x-3y=24
6x-3y=4a
For the system to have infinite solutions, the two must be equivalent to each other. Since we made the variable equal already, we just have to find a number a such that 24=4a. The answer is 6.

rspence

^ I agree, the answer to the third one is a = 6. This is because both equations will then be equivalent, in which the solution set is a line (infinitely many points).

goldmind

Thanks you guys, your the best!

jayeslee

Hey, are those questions from the McGraw Hill's prep book? Im using McGraw Hill's and the questions are the same exact type of questions that are in my book lol