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3 years ago

How far is Sam away from the donut shop?

Mathematics

1 answer:

const2013 [10]3 years ago

6 0

Answer:hi

Step-by-step explanation:

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Solve using the quadratic formula. Show all work. Write each solution in simplest form. No decimals.

aniked [119]

Answer:

There's no real solution to your question but thats what I got

$- 2 + \sqrt{3} \: \: \: and \: - 2 - \sqrt{3}$

6 0

3 years ago

Please help!

BaLLatris [955]

a) The polynomial in expanded form is $f(x) = x^{3}-2\cdot x^{2}-21\cdot x -18$ .

b) The slant asymptote is represented by the linear function is $y = -x + 1$ .

c) There is a discontinuity at $x = 2$ with a slant asymptote.

a) In this question we are going to use the Factor Theorem, which establishes that polynomial are the result of products of binomials of the form $x-r_{i}$ , where $r_{i}$ is the i-th root of the polynomial and the grade is equal to the quantity of roots. Therefore, the polynomial $f(x)$ has the following form:

$f(x) = (x-6)\cdot (x+1)\cdot (x+3)$

And the expanded form is obtained by some algebraic handling:

$f(x) = (x-6)\cdot (x^{2}+4\cdot x +3)$

$f(x) = x\cdot (x^{2}+4\cdot x + 3)-6\cdot (x^{2}+4\cdot x +3)$

$f(x) = x^{3}+4\cdot x^{2}+3\cdot x -6\cdot x^{2}-24\cdot x -18$

$f(x) = x^{3}-2\cdot x^{2}-21\cdot x -18$ (1)

The polynomial in expanded form is $f(x) = x^{3}-2\cdot x^{2}-21\cdot x -18$ .

b) In this question we divide the polynomial found in a) (in factor form) by the polynomial $x^{2}-x -2$ (also in factor form). That is:

$g(x) = \frac{(x-6)\cdot (x+1)\cdot (x+3)}{(x-2)\cdot (x+1)}$

$g(x) = \frac{(x-6)\cdot (x+3)}{x-2}$ (2)

The slant asymptote is defined by linear function, whose slope ( $m$ ) and intercept ( $b$ ) are determined by the following expressions:

$m = \lim_{x \to \pm \infty} \frac{g(x)}{x}$ (3)

$b = \lim_{x \to \pm \infty} [g(x)-x]$ (4)

If $g(x) = \frac{(x-6)\cdot (x+3)}{x-2}$ , then the equation of the slant asymptote is:

$m = \lim_{x \to 2} \frac{(x-6)\cdot (x+3)}{x\cdot (x-2)}$

$m = \lim_{x \to \pm \infty} \left(\frac{x^{2}-3\cdot x -18}{x^{2}-2\cdot x} \right)$

$m = 1$

$b = \lim_{x \to \pm \infty} \left(\frac{x^{2}-3\cdot x -18}{x-2}-x \right)$

$b = \lim_{x \to \pm \infty} \left(\frac{x^{2}-3\cdot x - 18-x^{2}+2\cdot x}{x-2}\right)$

$b = \lim_{n \to \infty} \left(\frac{-x-18}{x-2} \right)$

$b = -1$

The slant asymptote is represented by the linear function is $y = -x + 1$ .

c) The number of discontinuities in rational functions is equal to the number of binomials in the denominator, which was determined in b). Hence, we have a discontinuity at $x = 2$ with a slant asymptote.

We kindly invite to check this question on asymptotes: brainly.com/question/4084552

8 0

2 years ago

Surveys tend to suffer from low response rates. Based on past experience, a researcher determines that the typical response rat

devlian [24]

Answer:

Step-by-step explanation:

First let's define the different bias that exist:

Sampling bias: This bias occurs when the method used to get the sample favours one part of the population leaving another part of the population excluded.

Non response bias: This bias occurs when the people who do not answer the survey have different opinions from the ones who do.

Response bias: This bias occurs when the answer given to the survey does not reflect the true feelings of the person who responds.

Now back to the problem:

The researcher sent the survey to 2000 randomly selected e-mail addresses, she expects to get 20% of responses, meaning 400 people will answer the survey.

Given these conditions, we would expect the survey to be biased. We have approximately 1600 people who didn't answer the survey so it is possible that all these people who didn't answer have different opinions from the 400 who did (non response bias), given that the survey was done by email it could also happen that people do not tell the truth when asked about a topic (response bias), also, there would be sampling bias because the people who she selected have an email address so the people who don't use email get excluded from the survey (sampling bias)

6 0

3 years ago

True or False: If a function crosses an axis at (a,0), this location is known as an x-intercept of the function.

Kisachek [45]

Answer:

True

Step-by-step explanation:

Given

$Location: (a,0)$

Required

Does the location represent the x intercept?

The general point form of a function is (x,y)

When y = 0;

This represents that the function crosses the y axis.

And whenever the function crosses the y axis, we have the x intercept of the function

<em>Hence, the statement is true</em>

5 0

3 years ago

Please help it’s an emergency

Marina86 [1]

Answer:

Down below

Step-by-step explanation:

inside of a triangle is 180 degrees. first we have to find what the inside of z and y are.

$z=360-285\\z=75\\y=180-116\\y=64\\$

then solve for x

$180=75+64+x\\180=139+x\\180-139=139+x-139\\41=x$

7 0

3 years ago