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RoseWind [281]
3 years ago
12

The head librarian at a public library releases a report. The report states that visitors to the library want the library to ope

n one hour earlier on Saturdays. The report was based on a survey of the first 50 visitors to the library on a recent Saturday. Participants were asked the question, "Do you think the library should open one hour earlier on Saturdays?"
Select ALL statements that correctly evaluate the report.

Mathematics
1 answer:
pogonyaev3 years ago
5 0

Answer:

Step-by-step explanation:

The question is not biased.  It doesn't push the participants to answer one way or another.

However, the sample is biased.  It does not represent the population.

The first and fourth options are correct.

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Solve for x: k=3x+2/x-1
Anna11 [10]

Answer:

x = (2+k)/(k-3)

Step-by-step explanation:

k = (3x +2)/(x-1)

First just multiply both sides by (x-1)

(x-1)k = 3x+2

kx - k = 3x+2

Add k both sides and Subtract 3x both sides to get:

kx - 3x = 2+k

Take x out since it's common

x(k-3) = 2+k

Multiply both sides by (k-3)

x = (2+k)/(k-3)

Hope this helps!

3 0
4 years ago
Quadratic graphs <br> y=x squared - 4x
Anna71 [15]

This is one way of doing it.

We want to get the function into vertex form.  

y = x2 - 4x + 2                  Subtract 2 from both sides.

y - 2 = x2 - 4x                   Add (-4/2)2 , or 4, to both sides.

y - 2 + 4 = x2 - 4x + 4       Now that the right hand side is a perfect square trinomial, factor it.

y + 2 = (x - 2)(x - 2)          

y + 2 = (x - 2)2                  Subtract 2 from both sides.

y = (x - 2)2 - 2

 

When the equation is in this form, we can see that this is the graph of y = x2 shifted to the right 2 units and shifted down 2 units. The vertex is at (2, -2). So plot the first point at (2, -2) and go up just like a basic parabola from there. :)

7 0
3 years ago
What is Limit of StartFraction x squared minus 4 Over x + 2 EndFraction as x approaches negative 2?
Julli [10]

Using perfect squares simplification, it is found that the value of the desired limit is of -4.

<h3>When is a limit?</h3>

It is the value of a function as x approach

In this problem, the limit we want to find is given by:

\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2}

If we just replace x by -2, we end with an undetermined limit, as we have 0/0.

However, the perfect square simplification states that:

a² - b² = (a - b)(a + b).

Hence:

x² - 4 = (x + 2)(x - 2).

Then:

\lim_{x \rightarrow -2} \frac{x^2 - 4}{x + 2} = \lim_{x \rightarrow -2} \frac{(x + 2)(x - 2)}{x + 2} = \lim_{x \rightarrow -2} x - 2 = -2 - 2 = -4

Hence, the value of the desired limit is of -4.

More can be learned about limits at brainly.com/question/26270080

#SPJ1

3 0
2 years ago
Find the 91st term of the arithmetic sequence 5, -14, -33, ...
bonufazy [111]

Answer:

-54

Step-by-step explanation:

it is -54  because you must subtract 19 every time.

7 0
4 years ago
What is the actual step by step math problem -7+4(4-6)?
emmasim [6.3K]

Answer:

4-2

Step-by-step explanation:

there is -+-7-4ans4 4-6-2

7 0
3 years ago
Read 2 more answers
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