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sesenic [268]
3 years ago
15

What parent function has the following applications: profit, gravity, and calculating area?

Mathematics
1 answer:
Ronch [10]3 years ago
3 0

Answer:

Suppose that you have a square of side length x, the area of this square will be:

A = x^2.

Now, by dynamics, we know that the position of an object that is falling down from a height H, can be written as:

H(t) = (-g/2)*t^2 + H.

We can see a pattern, x^2 is used in both.

Now, profit can be also modeled with quadratic equations, where our objective is to find the maximum of the quadratic (so we can have the maximum profit)

Then the parent function that is useful for gravity, calculating area and profit is the quadratic function:

f(x) = x^2

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Answer:

$695

Step-by-step explanation:

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Answer:

square or rectangle

Step-by-step explanation:

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2 years ago
For the data in the table, write an equation for the direct variation.
melisa1 [442]

The equation of direct variation is,

\begin{gathered} y=kx \\ k=\frac{y}{x} \end{gathered}

Substitute the values of <em>y</em> and <em>x</em>.

\begin{gathered} k=\frac{5.4}{4} \\ k=1.35 \end{gathered}

So, the obtained equation will be <em>y</em>=1.35(x).

Let's check with the values of <em>x</em>.

1) If <em>x</em>=4

\begin{gathered} y=1.35x \\ y=1.35(4) \\ y=5.4 \end{gathered}

2) If <em>x</em>=2

\begin{gathered} y=1.35x \\ y=1.35(2) \\ y=2.7 \end{gathered}

3) If <em>x</em>=-2

4 0
9 months ago
23 students are making smiley faces from macaroni noodles. The teacher got a box of macaroni’s that has 276
drek231 [11]

Answer:

12 noodles

Step-by-step explanation:

If each child is given x amount of noodles, and there are 276 noodles to split among 23 students, set up the equation as seen below:

276÷23=12

276 noodles divided by 23 children = 12 noodles per child.

3 0
2 years ago
Justin surveyed 280 of the students in his school about their favorite color. 98
Mamont248 [21]

Answer:

\frac{98}{280}  \times  \frac{100}{1}

0.35 \times 100 \\  = 35\%

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2 years ago
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