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2 years ago

To do linear regression, there must be paired scores on two variables.

Mathematics

1 answer:

kumpel [21]2 years ago

7 0

True or False question, I would say that it's true.

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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:

$(x+1)$

4 0

11 months ago

What quadrants is csc less than 0.

adelina 88 [10]

quadrant IV

Sure hope this helped you, have a good day! =)

6 0

2 years ago

Sam opened a money account that pays 3 % simple interest. He started the account with 7000$ and made no further deposits. When h

Novosadov [1.4K]

He kept his account open for 3 years

8 0

2 years ago

A rectangular prism has a base of 18 cm by 15 cm and a diagonal of 25 cm. Identify its height. Round to the nearest tenth. HELP

jok3333 [9.3K]

Answer:

8.7 cm

Step-by-step explanation:

You know the relationship between the diagonal of a rectangular prism and the sides as $d^2 = x^2 + y^2 + z^2$ where x, y and z are the three dimensions of the prism. from your data, $25^2 =18^2 + 15^2 + z^2$ or $z^2 = 25^2 -18^2 - 15^2$ . With some simple calculation you get $z^2 = 625 - 324 - 225 = 76$ , or $z= 8.7178....$

6 0

2 years ago

A man invests a certain amount of money at 2% interest and $800 more than that amount in another account at 4% interest. At the

Nookie1986 [14]

X the first account interest = x/100*2 = 2x/100
(x + 800)/100 * 4 =( 4x + 3200)/100
2x/100 + (4x + 3200)/100 = 92
2x + 4x + 3200 = 9200
6x = 6000
x = 1000
C is the answer

3 0

3 years ago

Read 2 more answers