Saturday

December 20, 2014

December 20, 2014

Posted by **Elli** on Monday, December 19, 2011 at 2:50pm.

I subbed in 500 for f(x)

f(x)=15x^2 -195x +950

500 = 15x^2 -195x + 950

0=15x^2 -195x + 950 - 500

0=15x^2 - 195x + 450

What do i do next?

- Math -
**Steve**, Monday, December 19, 2011 at 3:16pmNow you can solve for x to find when the pilot was at 500m.

Think of the graph. It's a parabola, opening up. So, the vertex is between the two roots, and below the line y=500.

So, the height will be below 500 for all x between the roots of your equation as shown.

- Math -
**Elli**, Monday, December 19, 2011 at 3:23pmSo do I have factor out the 15x^2 - 195x + 450, which will give me (x-?)(x-?)

- Math -
**Steve**, Monday, December 19, 2011 at 4:51pmyes - just solve for x the way you normally do, either by grouping as you say, or by the quadratic formula

- Math -
**Elli**, Monday, December 19, 2011 at 6:00pmI did factoring and got this:

f(x)=15x^2 -195x +950

500 = 15x^2 -195x + 950

0=15x^2 -195x + 950 - 500

0=15x^2 - 195x + 450

0=15(x^2 - 13x + 30)

0=15(x-10)(x-3)

x=10 and x=3

It doesn't seem right~

- Math -
**Steve**, Monday, December 19, 2011 at 6:06pmseems ok to me. From t=3 to t=10 the plane is below 500 m.

at the vertex, t=13/2, f(6.5)= 316.25

f(2.9) = f(10.1) = 510.65

what bothered you about the answer? you expected to get two values for x.

- Math -
**Elli**, Monday, December 19, 2011 at 6:35pmNevermind

Thank you for clarifications!

**Answer this Question**

**Related Questions**

Math - A stunt pilot is testing a new plane. The equation that models his height...

Math - A stunt pilot is testing a new plane. The equation that models his height...

Math - The table shows the height of an elevator above ground level after a ...

math - a baseball is hit with an initial velocity of 75 feet per second from the...

math - At an airport, a flight controller was in a tower 40m above the ground. ...

Math - A marine biologist is testing a new under water probe. The probe is ...

sciecne - An airplane is being floen at 1500km/h at 100m above level ground. The...

Physics - A stunt motorcyclist is attempting to jump over a river of width 60m ...

Math 20.1 - A baseball is hit into the air and its height (h), in feet, above ...

algebra II Part 2 - The equation h=7 cos{pi/3 t} models the height h in ...