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3 years ago

CHECK MY ANSWERS PLEASE

Mathematics

1 answer:

Alborosie3 years ago

6 0

Answer:

Step-by-step explanation:

1600/4 . 5000/2 the adults is 400 and the children is 2500

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Use a given information to create equation for the rational function. The function is written in factored form to help see how t

Mars2501 [29]

Recall that a rational function:

$\frac{P(x)}{Q(x)},$

has a vertical asymptote at x₀ if and only if:

$Q(x_0)=0.$

Also, the roots of the above rational function are the same as P(x).

Since the rational function has a vertical asymptote at x=-1, we get that its denominator must be:

$Q(x)=x+1\text{.}$

Since the rational function has a double zero at x=2 we get that its numerator must be of the form:

$P(x)=k(x-2)(x-2)\text{.}$

Finally, since the rational function has y-intercept at (0,2) we get that:

$2=\frac{P(0)}{Q(0)}=\frac{k(0-2)(0-2)}{0+1}\text{.}$

Simplifying the above equation we get:

$\begin{gathered} \frac{k(-2)(-2)}{1}=2, \\ 4k=2. \end{gathered}$

Dividing the above equation by 4 we get:

$\begin{gathered} \frac{4k}{4}=\frac{2}{4}, \\ k=\frac{1}{2}\text{.} \end{gathered}$

Therefore, the rational function that satisfies the given conditions is:

$f(x)=\frac{\frac{1}{2}(x-2)(x-2)}{x+1}\text{.}$

Answer:

The numerator is:

$\frac{1}{2}(x-2)(x-2)$

The denominator is:

$(x+1)$

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1 year ago

If a sample mean is 32, which of the following is most likely the range of

Mekhanik [1.2K]

Answer:

Step-by-step explanation:

It is D, I did this quiz once

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3 years ago

Mr. Jones is reading a mystery book to his sixth-grade English class. He reads 4 pages in 12 minutes.

kompoz [17]

4, 8, 12, 16 I can’t see your table but I think these are the answers. :)

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3 years ago

Read 2 more answers

A group of 18 people ordered soup and sandwiches for lunch. Each person in the group had either one soup or one sandwich. The sa

IceJOKER [234]

Check it out .....

hope it helps...if any trouble occurs ...punch it on face.....haha kidding.....feel free to ask me

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3 years ago

You saved $300 to spend over the summer. You decide to budget $50 to spend each week.

Oduvanchick [21]

Answer:

Part c)

The Slope of the line is: m=-50 and represents the amount of money spent per week.

Part d)

The y-intercept is: c=300 and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

Step-by-step explanation:

To solve this question we shall look at linear equations of the simplest form reading:

$y = mx+c$ Eqn(1).

where:

$y$ : is our dependent variable that changes as a function of x

$x$ : is our independent variable that 'controls' our equation of y

$m$ : is the slope of the line

$c$ : is our y-intercept assuming an $x$ ⇔ $y$ relationship graph.

This means that as $x$ changes so does $y$ as a result.

Given Information:

Here we know that $300 is our Total budget and thus our maximum value (of money) we can spend, so with respect to Eqn (1) here:

$c=300$

The budget of $50 here denotes the slope of the line, thus how much money is spend per week, so with respect to Eqn (1) here:

$m=50$

So finally we have the following linear equation of:

$y= - 50x + 300$ Eqn(2).

Notice here our negative sign on the slope of the line. This is simply because as the weeks pass by, we spend money therefore our original total of $300 will be decreasing by $50 per week.

So with respect to Eqn(2), and different weeks thus various $x$ values we have:

Week 1: $x=1$ we have $y= -50 *1 + 300 = -50 +300 = 250$ dollars.

Week 2: $x=2$ we have $y= -50 *2 + 300 = -100 +300 = 200$ dollars.

Thus having understood the above we can comment on the questions asked as follow:

Part c)

The Slope of the line is: $m=-50$ and represents the amount of money spent per week.

Part d)

The y-intercept is: $c=300$ and represents the maximum money we have that can be spend over the weeks (i.e. our maximum budget alowed).

4 0

3 years ago