Can someone help me with my algebra 2 hw?

malh

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Sep 18, 2016
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Hi I'm a student in an algebra 2 class and i need help with 2 questions. I asked my friends but none of them knew the answer to them. Thanks in advanced!

1)For 1980 throughout 1990, the number ofunits produced by a manufacturing plant canbe modeled by
N = 9t + 5
where N is measured in thousands of unitsand t = 0 corresponds to 1980. The profit perunit can be modeled by
P = 9t − 5
where P is measured in dollars and t = 0corresponds to 1980.
Find an expression for the total profit T.
What was the total profit in 1985?

2)A tunnel goes through a mountain whoseshape can be modeled by
h = −64x2 + 19x
where h is the height (in miles) and x is thedistance (in miles) from the opening of thetunnel.
Find the length of the tunnel.
 
Hi I'm a student in an algebra 2 class and i need help with 2 questions. I asked my friends but none of them knew the answer to them. Thanks in advanced!

1)For 1980 throughout 1990, the number ofunits produced by a manufacturing plant canbe modeled by
N = 9t + 5
where N is measured in thousands of unitsand t = 0 corresponds to 1980. The profit perunit can be modeled by
P = 9t − 5
where P is measured in dollars and t = 0corresponds to 1980.
Find an expression for the total profit T.

Think in numbers first: If you sell 10 units at $2 profit each, how do you work out your total profit?
So, if you sell N units at $P each, how do you work out your total profit?

What was the total profit in 1985?

2)A tunnel goes through a mountain whoseshape can be modeled by
h = −64x2 + 19x
where h is the height (in miles) and x is thedistance (in miles) from the opening of thetunnel.

Draw a graph!
Find the length of the tunnel.
See comments in red.
 
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