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3 years ago

7xy + 2² - 2xy = ? Put your answer in simplest form.

Mathematics

2 answers:

Aleksandr-060686 [28]3 years ago

6 0

Answer:

5xy+4

Step-by-step explanation:

7-2=5

2*2=4

Kisachek [45]3 years ago

3 0

Hello!

7xy + 2² - 2xy =

= 7xy - 2xy + 2² =

= 7xy - 2xy + 4 =

= 5xy + 4

Good luck! :)

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Which statements describe the graph of y = 3√x-1+2 ? Check all that apply.

Reptile [31]

Answer:

The correct options are A, D and E.

Step-by-step explanation:

We are given the function $y=\sqrt[3]{x-1} +2$

From the graph below, we see that,

Domain and range of the function is the set of all real numbers.

<em>As y-intercept is the point where the graph of the function crosses y-axis.</em>

That is, y-intercept is obtained when x= 0.

So, on substituting, we have,

$y=\sqrt[3]{0-1} +2$

i.e. $y=-1+2$

i.e. y= 1

Thus, the y-intercept is (0,1).

<em>Also, x-intercept is the point where the graph of the function crosses x-axis.</em>

That is, x-intercept is obtained when y= 0.

So, on substituting, we have,

$0=\sqrt[3]{x-1} +2$

i.e. $-2=\sqrt[3]{x-1}$

i.e. $-8=x-1$

i.e. x= -7

Thus, the x-intercept is (-7,0).

Hence, the correct options for the function are,

A. The graph has a domain of all real numbers.

D. The graph has a y-intercept at (0, 1)

E. The graph has an x-intercept at (–7, 0).

3 0

3 years ago

Read 2 more answers

In the local frisbee league, teams have 7 members and each of the 4 teams takes turns hosting tournaments. At each tournament, e

mars1129 [50]

There are 4 teams in total and each team has 7 members. One of the team will be the host team.

Tournament committee will be made from 3 members from the host team and 2 members from each of the three remaining teams. Selecting the members for tournament committee is a combinations problem. We have to select 3 members out 7 for host team and 2 members out of 7 from each of the remaining 3 teams.

So total number of possible 9 member tournament committees will be equal to:

$7C3 \times 7C2 \times 7C2 \times 7C2\\ \\ = 324135$

This is the case when a host team is fixed. Since any team can be the host team, there are 4 possible ways to select a host team. So the total number of possible 9 member tournament committee will be:

$9 \times 324135\\ \\ =2917215$