Question

Factor:

9x^2-5x+3=0

3x^2+4x-2=0

x^2-6x+10=0

x^2+9x+9=0

And I need help with this question:


If a baseball player hits a baseball from 4 feet off the ground with an initial velocity of 64 feet per second, how long will it take the baseball to hit the ground? Use the equation h = -16t2 + 64t + 4.

Fan/medal for help. :)

Answer 1

That's not one of my answer choices.

Answer 2

2 plus or minus square root of 17 end root over 2

quantity of 2 plus or minus square root of 17 all over 2

2 plus or minus 4 square root of 17

quantity of 16 plus or minus square root of 17 all over 2
Probably should have put those there. ^^

Answer 3

how long will it take the baseball to hit the ground? when it hits the ground, it will have a height of 0. solve for t
\[-16t^2 + 64t + 4 = 0 \]

Answer 4

And then you solve the quadratic equation that is: -16t^2+64t+4=0

Answer 5

yes, use the quadratic formula

Answer 6

How do you factor it?

Answer 7

first, notice we can divide all terms by 4, to make the numbers smaller
\[ -4 t^2 + 16t+1= 0 \]

Answer 8

Would it look like:
-4(4x^2+16+1)=0?

Answer 9

64/4=16?

Answer 10

almost,
\[ -4( 4t^2 -16t -1) = 0 \\
4t^2 -16t -1 = 0 \]

Answer 11

do you know the quadratic formula? or how to complete the square ?