3 years ago

Is x^(-2)+5 a polynomial expression? Why or why not?

Mathematics

1 answer:

Lynna [10]3 years ago

3 0

Answer:

it is not because a polynomial cannot have a negative power

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Answer:

y-intercept is 30

Step-by-step explanation:

Given the model $y = 10x + 30.$ comparing this model to the equation of a straight lines we can get the y- intercept

$y = 10x + 30\\\y= mx+c$

The y- intercept is 30 which is the constant factor and it describes to us about the one-time registration fee of $30.

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2 years ago

Joyce paid $100 for an item at the store that was 20 percent of the original price. What was the original price?

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The original price was $500

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3 years ago

Read 2 more answers

Establish for which constants c the following function is a density.

Valentin [98]

By "density" I assume you mean "probability density function". For this to be the case for $f(x)$ , we require

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=1$

Since

$f(x)=\begin{cases}cx^{1/2}&\text{for }0$

you have

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx=\int_0^2cx^{1/2}\,\mathrm dx=\dfrac{2c}3x^{3/2}\bigg|_{x=0}^{x=2}=\dfrac{2^{5/2}c}3=1$

which means

$c=\dfrac3{2^{5/2}}=\dfrac3{4\sqrt2}$