Quadratic Formula with Rational Solutions

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The principal at a high school is planning a concert to raise money for the music programs. He determines the profit p from ticket sales depends on the price t of a ticket according to the equation p = -200t2 + 3600t - 6400. All amounts are in dollars. If the goal is to raise $8500, what is the smallest amount the school should charge for a ticket to the concert?

• $11.55

• $6.45

• $5.52

• $7.93

Classify the solutions to 
25g² - 10g + 1 = 0

• 0 real solutions
• 1 rational solution
• 2 rational solutions
• 2 irrational solutions

Classify the solutions to 
2g² + 7g + 3 = 0

• 0 real solutions
• 1 rational solution
• 2 rational solutions
• 2 irrational solutions

Find the solution:
y = x² - 4x + 6
y = x + 2

• (3, 1) and (6, 4)
• (-1, 1) and (4, 2)
• (1, 3) and (4, 6)
• (1, 4) and (3, 6)

Which is a solution to the following system?
y < 6x² + 2x - 1
y ≥ -2x² - x + 3

• (0, 0)
• (0, -3)
• (1, 5)
• (1, -8)