Help me do this please

Which ordered pairs make both inequalities true? Check all that apply.

Thepotemich [5.8K]

All others did not satisfy the inequality simultaneously except #4 and #6
For #4:
2 < 5(1) + 2 i.e. 2 < 7 (true)
2 >= 1/2(1) + 1 i.e. 2 >= 3/2 (true)
For #6
2 < 5(2) + 2 i.e. 2 < 12 (true)
2 >= 1/2(2) + 1 i.e. 2 >= 2

7 0

2 years ago

Read 2 more answers

The German Club is planning a ski trip. The club will pay $500 toward the trip, and each member going on the trip will pay $115.

Vedmedyk [2.9K]

500 - y x 115= 2185.

y = 19.

3 0

3 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

2 years ago

Please help 56 POINTS

e-lub [12.9K]

<h2>Answer: 81 Step-by-step explanation: The median of data not grouped is the middle number after arranging the data is either ASCENDING OR DESCENDING order. Arranging these states HIGH TEMPERATURES in ascending order, we have: 72, 78, 79, 81, 81, 82, 84, 88, 88 The middle number there is 81 </h2>

5 0

3 years ago

Can someone Answer this?

Misha Larkins [42]

Answer:

The limit of the function as x approaches 1 is ∞

Vertical asymptote; x = 1

Step-by-step explanation:

The graphical approach to evaluating limits involves graphing the function, the graph of the function $\frac{1}{(x-1)^{2} }$ is contained in the attachment below.

The red vertical line is the graph of x = 1. As we approach the line x = 1 from the left, the value of the function, that is y becomes large and large indefinitely. That is the value of the function approaches infinity. The same case applies when we approach the vertical line x = 1 from the right.

Also noticeable is the fact that the function approaches the line x = 1 asymptotically. The function gets closer and closer to this line but actually never touches it. Therefore, the line x = 1 is our vertical asymptote of the function given

7 0

3 years ago