Whats a quadratic equation that has the roots of 6 and negative 9

Mathematics

1 answer:

Komok [63]3 years ago

5 0

Answer:

x^2-3x-54

Step-by-step explanation:

(x+6)(x-9) Setup the roots

x^2-9x+6x-54 FOIL out the terms

x^2-3x-54 Add like terms together

You might be interested in

A model rocket is launched with an initial velocity of 200 ft per second. The height h, in feet, of the rocket t seconds after t

Solnce55 [7]

Answer:

2.10 s, 10.40 s.

Step-by-step explanation:

We know that the height of the rocket is given by the function:

$h=-16t^2+200t$

We are asked to find the time for which the height of the rocket will be 350 ft. So, for that moment, we know the height but we don't know the time; however, we know that the equation can help us to find the time, doing h=350:

$350=-16t^2+200t$

The last is a quadratic equation, which can be put in the form $at^2+bt+c=0$ and solved applying the formula:

$t=\frac{-b+-\sqrt{b^2-4ac} }{2a}$

So, let's put the equation on the form $at^2+bt+c=0$ adding $16t^2$ and subtracting $200t$ to each side of the equation; the result is:

$16t^2-200t+350=0$

So, we note that a=16, b=-200, and c=350.

Then,

$t_1=\frac{200-\sqrt{200^2-4*16*350} }{2*16}=2.10$

$t_2=\frac{200+\sqrt{200^2-4*16*350} }{2*16}=10.40$

According to the equation, that are the times for which the height will be 350 ft; that is because the rocket is going to ascend and then to fail again to the ground.

4 0

3 years ago

Lolo typed 1,125 words in 15 minutes. Let w repersent the number of words each minute. If Lolo typed the same number of words ea

satela [25.4K]

Answer:

1125/15= 75

75 words per minute

3 0

3 years ago

I need help with this because this is hard

SOVA2 [1]

V=8, did it on equations solver