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3 years ago

For questions 10-15. dentify the domain and range 10 Domain ? Range? 11. Domain? Range?

Mathematics

1 answer:

baherus [9]3 years ago

3 0

Answer:

See below for answers and explanations

Step-by-step explanation:

10) The domain is (-∞,+∞) because no matter what x is, it is defined for all real numbers. The range is (-∞,3] because if y is greater than 3, then no x-value can be defined for that.

11) The domain would be (−∞,3)∪(3,∞) because of the vertical asymptote located at x=3 which means x can be any real number other than 3. The range is (-∞,0)∪(0,∞) because of the horizontal asymptote located at y=0, which means y can be any real number other than 0.

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Sloan [31]

Answer:

y = 6x +1

Step-by-step explanation:

To write the slope-intercept form equation for a line, you need to know the slope and the y-intercept. These can be found from their respective formulas.

<h3>slope</h3>

The slope of a line between points (x1, y1) and (x2, y2) is given by the formula ...

m = (y2 -y1)/(x2 -x1)

For points (-1, -5) and (0, 1), the slope is ...

m = (1 -(-5))/(0 -(-1)) = 6/1

m = 6

<h3>y-intercept</h3>

The y-intercept is the value of y where the line crosses the y-axis. That axis is where x = 0. There is a formula that can be used to find the y-intercept from the slope and a point on the line:

b = y -mx . . . . . y-intercept of line with slope m through point (x, y)

However, one of the given points is already the y-intercept: (0, 1). It tells you b=1.

<h3>equation</h3>

The slope-intercept equation is ...

y = mx +b

y = 6x +1

8 0

2 years ago

A sports club has 84 members who learned baseball, and 42 of those members also learned basketball. There are 25 students who di

HACTEHA [7]

<em>The table that shows the relative frequency of data is in the below further explanation.</em>

$\texttt{ }$

<h3>Further explanation</h3>

A set is a clearly defined collection of objects.

To declare a set can be done in various ways such as:

With words or the nature of membership

With set notation

By registering its members

With Venn diagrams

$\texttt{ }$

Multiplying set A x B is by pairing each member of set A with each member of set B.

<u>Example:</u>

Then

A x B = {(1, a), (1, b), (2, a), (2, b), (3, a), (3, b)}

$\texttt{ }$

Union of set A and B ( A ∪ B ) is rewriting each member A and combined with each member B.

Intersection of set A and B ( A ∩ B ) is to find the members that are both in Set A and Set B.

<u>Example:</u>

A ∪ B = {1, 2, 3, 4, 5}

A ∩ B = {3, 4}

Let us now tackle the problem!

$\texttt{ }$

<em>A sports club has 84 members who learned baseball, and 42 of those members also learned basketball.</em>

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{42}& \\Don't Play Basketball& & \end{array}\right]$

$\texttt{ }$

Number of members who learned baseball but did not learn basketball will be ( 84 - 42 ) = 42 members

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42& \\Don't Play Basketball&\boxed{42}& \end{array}\right]$

$\texttt{ }$

<em>There are 25 students who did not learn baseball but learned basketball</em>

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&\boxed{25} \\Don't Play Basketball&42& \end{array}\right]$

$\texttt{ }$

<em>8 students did not learn either baseball or basketball</em>

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&42&25 \\Don't Play Basketball&42&\boxed{8} \end{array}\right]$

$\texttt{ }$

<em>Total Number of Students = 42 + 42 + 25 + 8 = 117</em>

$\texttt{ }$

Table of relative frequency

$\left[\begin{array}{ccc}&Play Baseball&Don't Play Baseball\\Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{25}{117}} \\Don't Play Basketball&\boxed{\frac{42}{117}}&\boxed{\frac{8}{117}} \end{array}\right]$