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3 years ago

What are the domain and range of the function f(x)=-3(x-5)2 +4?

Mathematics

1 answer:

Misha Larkins [42]3 years ago

5 0

Answer:

D=(-infinity, +infinity)

R=(-infinity, 4]

Step-by-step explanation:

I think that 2 is an exponent so you function is f(x)=-3(x-5)^2+4

So if this is the case this is a parabola open down when a vertex of (5,4).

Visualize or draw a rough picture of that because that is all you need to answer this question.

The domain for a parabola function is always all real numbers (do notice I said parabola function).

The range for this parabola is (-infinity, 4] since open down and the highest point has y value 4.

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Read 2 more answers

An equilateral triangle with a side length of 6mm and a height of 5.2mm is divided vertically into halves. Find the area of one

Viefleur [7K]

There are two ways you could go about solving this.

You could divide the length of the base (6mm) by 2 and use that to find the area or you could find the area of the whole triangle using 6mm and divide that by 2.

I will use the first method I described:

base = 6/2

base = 3 mm

height = 5.2 mm

area = bh/2

area = (3 * 5.2)/2

area = 7.8 square mm

(don't forget your units)

Using the other method would look like this:

area = bh/2

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area = (6 * 5.2)/2

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As you can see either method yields the same result.

Hope this helped.

Cheers and good luck,

Brian

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3 years ago

Aidan uses 1/4 of the water in a bucket to water one potted plant. How many potted plants can aiden water with 3 full buckets of

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If Aidan can fill 1 potted plant from a full bucket but still have enough left for 3 more, this means Aidan can water 4 plants per full bucket. And if you multiply that 4 by 3 full buckets, it gives you 12, which is the amount of plants 3 full buckets can water.

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4 years ago

Mark and peter went to an arcade where the machines took tokens. Marilk played 9 games of ping pong and 5 games of pinball, usin

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Answer:

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens.

Step-by-step explanation:

Let, each game of ping pong requires x number of tokens and each game of pinball requires y number of tokens.

So, from the given conditions we can write

9x + 5y = 29 ........... (1) and

3x + y = 7 ........... (2)

Now, solving equations (1) and (2) we get,

9x + 5(7 - 3x) = 29

⇒ 35 - 6x = 29

⇒ 6x = 6

⇒ x = 1 token.

Now, putting x = 1 in equation (2) we get,

3 + y = 7

⇒ y = 4 tokens.

So, each game of ping pong requires 1 number of token and each game of pinball requires 4 number of tokens. (Answer)

6 0

3 years ago