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Eddi Din [679]
3 years ago
15

F(x)=3/2(x-2)^2-24 put this in standard form​

Mathematics
1 answer:
gregori [183]3 years ago
6 0

Answer:

f(x) = 3x^2 - 12x -  36.

Step-by-step explanation:

f(x) =3 /2(x - 2)^2 - 24

f(x) = 3/2 (x^2 - 4x + 4) - 24

f(x) = 3/2 x^2 - 6x + 6 - 24

f(x) = 3/2 x^2 - 6x - 18

Multiply through by 2:

f(x) = 3x^2 - 12x -  36.

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Gala2k [10]

Answer:

180

Step-by-step explanation:

A 180 rotation will be

(x, y) -> (-x, -y)

4 0
3 years ago
Which of the following phrases are inequalities?
Wewaii [24]

Answer:

11 > (w- 4)

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5 + 9 < 5.9

So these are the phrases which are inequalities.

6 0
3 years ago
FInding the length of EB
larisa86 [58]

Answer:

EB=3.3

Step-by-step explanation:

From the diagram, triangle ABC is similar to triangle DBE.

This means that, the corresponding sides are proportional.

It was given that AC=6, DE=4, CB=5.

We want to find EB=x

Since the ratio of corresponding sides are proportional, we have:

\frac{EB}{CB} =\frac{ED}{AC}

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Multiply both sides by 5 to get:

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3 years ago
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Taya2010 [7]

Answer:

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7 0
2 years ago
Read 2 more answers
A round wading pool has a diameter of 115cm deep. A hose is filling the pool at a rate of 34000cm^3, cubed per minute. How long
inn [45]

Answer:

It will take 6.118 minutes to fill up the pool to a depth of 20 cm

Step-by-step explanation:

The first step is to calculate the volume of the wading pool.

we will assume it is a cylinder, hence the volume will be = \pi r^{2}h

<em>Where r= radius of the pool = 115/2 = 57.5cm</em>

<em>h = depth of the pool =20 cm</em>

The volume of the pool will be \pi \times57.5^{2} \times 20 =2.08 \times 10^{5} cm ^{3}

We are filling a pool of 208,000cm ^{3} at the rate of 34000cm^3, cubed per minute.

To get the time it will take to fill up the pool, we will have to divide as follows:

208,000cm ^{3} / 34000cm^3 =6.118 minutes

Therefore it will take 6.118 minutes to fill up the pool to a depth of 20 cm

4 0
3 years ago
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