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3 years ago

Without graphing or solving, determine the number of solutions of the system.

Mathematics

1 answer:

maw [93]3 years ago

3 0

Answer:

Step-by-step explanation:

2)infinetly many solutions

beacuse y=8x-2 and y-8x=-2 are the same thing without any limitation

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Julie is a math tutor. She charges each student $210 for the first 7 hours of tutoring and $20 for each additional hour. When th

Nady [450]

A = 210 + 20(h - 7) <== ur equation

if she earns 410 tutoring...
410 = 210 + 20(h - 7)
410 = 210 + 20h - 140
410 = 20h + 70
410 - 70 = 20h
340 = 20h
340/20 = h
17 = h <=== she spent 17 hrs tutoring

8 0

3 years ago

Need help! Will mark Brainiest!

kicyunya [14]

Option B: $y=-\sqrt[3]{x-4}+7$ is the new equation

Explanation:

The given equation is $y=-\sqrt[3]{x}$

We need to find the new graph which is shifted 7 units up and 4 units right.

First, we shall shift the graph 7 units up.

The general formula to shift the graph b units up is given by

$y=f(x)+b$

Thus, to shift the graph 7 units up, let us substitute $b=7$ and $f(x)=-\sqrt[3]{x}$ in the general formula, we have,

$y=$-\sqrt[3]{x}$+7$

Now, we shall shift the graph 4 units right.

The general formula to shift the graph b units right is given by

$y=f(x-b)$

Thus, to shift the graph 4 units right, let us substitute $b=4$ and $f(x)=$-\sqrt[3]{x}+7$$ in the above equation, we have,

$y=-\sqrt[3]{x-4}+7$

Therefore, the new equation is $y=-\sqrt[3]{x-4}+7$

Therefore, Option B is the correct answer.

5 0

3 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

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