Need help with this. was removed when i posted it

Write the equation of a possible rational

kondor19780726 [428]

Answer:

The graph has a removable discontinuity at x=-2.5 and asymptoe at x=2, and passes through (6,-3)

Step-by-step explanation:

A rational equation is a equation where

$\frac{p(x)}{q(x)}$

where both are polynomials and q(x) can't equal zero.

1. Discovering asymptotes. We need a asymptote at x=2 so we need a binomial factor of

$(x - 2)$

in our denomiator.

So right now we have

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

2. Removable discontinues. This occurs when we have have the same binomial factor in both the numerator and denomiator.

We can model -2.5 as

$(2x + 5)$

So we have as of right now.

$\frac{(2x + 5)}{(x - 2)(2x + 5)}$

Now let see if this passes throught point (6,-3).

$\frac{(2x + 5)}{(x - 2)(2x + 5)} = y$

$\frac{(17)}{68} = \frac{1}{4}$

So this doesn't pass through -3 so we need another term in the numerator that will make 6,-3 apart of this graph.

If we have a variable r, in the numerator that will make this applicable, we would get

$\frac{(2x + 5)r}{(2x + 5)(x - 2)} = - 3$

Plug in 6 for the x values.

$\frac{17r}{4(17)} = - 3$

$\frac{r}{4} = - 3$

$r = - 12$

So our rational equation will be

$\frac{ - 12(2x + 5)}{(2x + 5)(x - 2)}$

or

$\frac{ - 24x - 60}{2 {x}^{2} + x - 10}$

We can prove this by graphing

5 0

3 years ago

n^2-2n-3 where n is the number of key rings in thousands, find the number of key rings sold when the profits is $5,000

ArbitrLikvidat [17]

Answer:

For the profit of $5,000, the key chains made is n = 4,000.

Step-by-step explanation:

Here the given expression , where: n = Number of key rings in thousands is given as:

P(n) = n²- 2 n - 3

Now, Profit is given to be $5,000.

Also, as we know 5000 = 5 x (1,000)

⇒ n²- 2 n - 3 = 5

Now, solving the above expression for the value of n, we get:

$n^2 - 2 n - 3 = 5\\\implies n^2 -2n - 8 = 0\\\implies n^2 -4n + 2n - 8 = 0\\\implies n(n-4) + 2(n-4) = 0\\\implies (n-4) (n+2) = 0$

So, n = 4, OR , n = -2

Now, as n = The number of key chains. So it CANNOT BE NEGATIVE.

So, n= 4 = 4 x (1,000) = 4,000 key rings.

Hence, for the profit of $5,000, the key chains made is n = 4,000.

8 0

3 years ago

Evaluar la expresión cuando g=5 y h=4.<br> 6g+h

QveST [7]

It’s 34
6(5)=30 + 4 =34

7 0

3 years ago

What is the value of expression? 5−8 • 5−4<br> a. 532<br> b. 54<br> c. 5−4<br> d. 5−12

Olin [163]

$5-8\cdot 5-4 =5 (-8-4) = \boxed{5 (-12)}$

4 0

3 years ago

Viviana had 4 and 1/5 pounds of sugar. She used 1/3 of the sugar she had. How much sugar did she use? Select all that apply

hram777 [196]

Answer:

11.339809 c

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

Step-by-step explanation:

To convert a pound measurement to a cup measurement, multiply the sugar by the conversion ratio.

Since one pound of sugar is equal to 2.267962 cups, you can use this simple formula to convert:

cups = pounds × 2.267962

The sugar in cups is equal to the pounds multiplied by 2.267962.

For example, here's how to convert 5 pounds to cups using the formula above.

5 lb = (5 × 2.267962) = 11.339809 c

While experts usually suggest measuring dry ingredients by weight since it's more accurate, some recipes call for ingredients by volume and many of us don't have a scale when we need one. Because of the density of different types of sugar varies, it may not be obvious how to convert between a weight and volume measurements.

This table shows the approximate volume measurement for various weights of sugar, by type to help with the conversion.

Sugar Weight to Volume Conversion Table

Pound measurements and equivalent cups measurements for various types of sugar.

Should I Measure Sugar by Weight or Volume?

Many experts are adamant that dry ingredients like sugar should be measured by weight instead of volume, especially when used for baking.

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6 0

3 years ago