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3 years ago

Michelle is trying to factor the following to its most simplified form : 4x^2 - 36

Mathematics

2 answers:

Zielflug [23.3K]3 years ago

8 0

Take out the GCF first.
4(x^2 - 9)
Now it is a difference of perfect squares.
4(x - 3)(x + 3)

max2010maxim [7]3 years ago

5 0

4(x-3)*(x+3)

" * " means times

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A ball is thrown into the air and its position is given by h ( t ) = − 6.3 t 2 + 53 t + 24 where h is the height of the ball in

nordsb [41]

Answer:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

Step-by-step explanation:

For this case we have the following function:

$h(t) = -6.3t^2 +53 t+24$

In order to maximize this function we need to take the first derivate respect the time and we have:

$h'(t) = -12.6 t +53$

Now we can set up the derivate equal to 0 and we have:

$-12.6 t +53 = 0$

And solving for t we got:

$t = \frac{53}{12.6}= 4.206$

For the second derivate respect the time we got:

$h''(t) = -12.6$

So then we can conclude that t = 4.206 is a maximum for the function.

And the corresponding height would be:

$h(t=4.206) = -6.3(4.206)^2 +53*4.206+24= 135.468 ft$

So the maximum occurs at t = 4.206 s and with a height of 135.468 m

8 0

3 years ago

Plz help this is due by tomorrow

Margaret [11]

Answer:

3.4

Step-by-step explanation:

just divide 8.16 by 2.4

8 0

3 years ago

Function or not a function?

ivanzaharov [21]

Answer:

not a function because the points' x-values repeats

Step-by-step explanation:

3 0

3 years ago

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Jessii Vee is 1 5/8 gallons of paint to paint her room so he has 5/6 gallons of paint. How many more gallons of paint does she n

irakobra [83]

Answer:

3 1/2 gallons of paint

Step-by-step explanation:

1 5/8 - 5/6 = x

Turn the mixed number into an improper fraction:

1 5/8 = 13/8 = x

13/8 - 5/6 = x

make the denominator the same:

13/8 * 3 = 104/24

5/6 * 4 = 20/24

Subtract:

104/24 - 20/24 = 84/24

Simplify:

84/24 divided by 6 = 14/4

14/4 divided by 2 = 7/2

Turn into a mixed number:

3 1/2

Hope this helps!!! ~Carley

3 0

2 years ago

Could someone help me with these questions. I know I have some answers for them but I got them wrong so I need help to get the r

Vera_Pavlovna [14]

I am not quite sure but I hope it helps!

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3 years ago

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