1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
puteri [66]
2 years ago
14

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

Mathematics
2 answers:
Margaret [11]2 years ago
6 0
When an <span>inequality is true it is in the region that both are shaded, so the answer would be 1,1 and 2,2</span>
Tema [17]2 years ago
4 0

Answer: The pair (2, 2)

Step-by-step explanation:

The inequalities that we have are:

y ≥ (1/5)x + 1

y < 2x + 1

Now, let's try the options:

Notice that the pairs that make bot inequalities true are pairs that lie in the region where we have both colors (blue and orange)

Those options will be the pairs (1,3) and (2,2)

now, let's prove if those numbers work for our inequalities.

(1,3)

3 ≥ (1/5)*1 + 1 = 6/5  true

3 < 2*1 + 1 = 3 false

here we have a problem, while the pair (1,3) lies in the region, it lies exactly in the doted line of the second inequality, this means that this pair does not work for the second inequality.

now, let's test the other option.

(2, 2)

2 ≥ (1/5)*2 + 1  =7/6 true

2 < 2*2 + 1 = 5 true

the correct option is the pair (2, 2)

You might be interested in
3 1/4 - 2 1/3 what is the answer please explain
anastassius [24]

Answer:

it is 0.91<u>6 (</u>the six is repeated. a line under a number means repeated in this case)

Step-by-step explanation:

First you take 3 1/4 and turn it into 13/4 and turn 2 1/3 into 7/3 and transform those into decimals 13/4 = 3.25 and 7/3 = 2.<u>3</u> and subtract which is 0.95 plus the fact that the three is repeated which gets your answer of 0.91<u>6</u> however you should say that if they want you to simplify it to two/three decimals, it is 0.95 but if they want it exact it is 0.91<u>6</u> with the six being repeated

7 0
3 years ago
In the space at the right, draw a triangle : Use an algebraic expression to label the length of each side. Write an expression f
mezya [45]
Not sure I am so sorry I will look more
4 0
3 years ago
A man has 1 coins in his pocket, all of which are dimes and quarters. Aif the total value of his change is $2.75, how many dimes
VLD [36.1K]

Using a system of equations, it is found that there are 5 dimes and 9 quarters in his pocket.

<h3>What is a system of equations?</h3>

A system of equations is when two or more variables are related, and equations are built to find the values of each variable.

In this problem, the variables are given as follows:

  • Variable x: number of dimes in his pocket.
  • Variable y: number of quarters in his pocket.

He has a total of 14 coins, hence:

x + y = 14 -> y = 14 - x.

They are worth $2.75, hence, considering the value of each coin(dimes $0.1 and quarters $0.25), we have that:

0.1x + 0.25y = 2.75

Since y = 14 - x:

0.1x + 0.25(14 - x) = 2.75

x = (0.25*14 - 2.75)/0.15.

x = 5.

y = 14 - x = 14 - 5 = 9.

There are 5 dimes and 9 quarters in his pocket.

More can be learned about a system of equations at brainly.com/question/24342899

#SPJ1

4 0
1 year ago
PLEASE HELP ILL GIVE MEDALS AND MARK BRAINLIEST!!!!!!!!!!!!!!!!!!!!!!!!!!! NEEDS TO BE ALEGABRA 2 MEATHOD!!!!!!!!
mars1129 [50]
Hi there,
This is the original inequality equation:
\frac{x}{x+1} \ \textless \  \frac{x}{x-1}
So, we first need to find the critical points of equality, and we can do that by switching the less than sign to an equal sign.
\frac{x}{x+1} = \frac{x}{x-1}
Now, we multiply both sides by x + 1:
x= \frac{x^{2} +x}{x-1}
Then, we multiply both sides by x - 1:
x^{2} -x= x^{2} +x
Next, we subtract x² from both sides:
-x=x
After that, we solve for x. We do this by adding -x to both sides and dividing by 2. Doing so gives us x = 0, which is our first critical point. We need to find a few more critical points by testing x = -1 and x = 1. Here is how we do that:
<span>x = <span>−1 </span></span>(Makes left denominator equal to 0)<span>x = 1   </span>(Makes right denominator equal to 0)Check intervals in between critical points. (Test values in the intervals to see if they work.)<span>x <<span>−1    </span></span>(Doesn't work in original inequality)<span><span><span>−1 </span>< x </span><0  </span>(Works in original inequality)<span><span>0 < x </span>< 1 </span>(Doesn't work in original inequality)<span>x > 1  </span><span>(Works in original inequality)
Therefore, the answer to your query is -1 < x < 0 or x > 1. Hope this helps and have a phenomenal day!</span>
4 0
3 years ago
There are 18 red and 20 blue marbles in a jar. Write the simplified ratio of blue to red marbles in 3 different ways
AnnZ [28]

20 to 18

20:18

20/ 18

Step-by-step explanation:

Ratios can be writen in 3 different formats. You can write your ratios in fraction form (Example- 20/18), colan form, (Example- 20:18) and finaly word form (Example- 20 to 18). Hope this was acurate and helpful. Have a magical rest of your day!

3 0
3 years ago
Read 2 more answers
Other questions:
  • Which graph represents the solution to the given system? (1 point) <br> Y=-3x+4 and y=2x-1
    15·1 answer
  • 3 3/5 × 2 3/4 <br><br> Answer in mixed number
    12·1 answer
  • Hattie jumps rope 57 times in 3 minutes. If Hattie jumps at a constant speed, how many times does she jump per minute?
    7·2 answers
  • What is the mean of the following set of data? Round your answer to two decimal places.
    5·1 answer
  • A shipping container will be used to transport several 100-kilogram crates across the country by rail. The greatest weight that
    15·1 answer
  • Which unit rate corresponds to the proportional relationship shown in the graph
    7·2 answers
  • The length of a rectangle is 2 times the width of the rectangle. Let x represent the width of the rectangle.
    13·1 answer
  • The circumference of Tyler's bike tire is 72 inches. What is the diameter of the tire?
    14·1 answer
  • 2 1/6−(−8/3)+(−4 7/9)
    7·1 answer
  • Are the ratios 2:1 and 9:5 equivalent?
    6·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!