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2 years ago

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

Mathematics

1 answer:

Andrej [43]2 years ago

7 0

We can actually deduce here that the ordered pairs that make both inequalities true are:

(1,1)
(2, 2)

<h3>What is inequality?</h3>

An inequality is known to be an expression that shows that certain variables or values are not equal to each other. It is usually seen in an inequality expression as:

> (greater than)
< (less than)
≥ (greater than or equal to)
≤ (less than or equal to).

We see the attached image that shows the graph of inequality and which completes the question.

The options that complete the question are:

A. –2, 2

B. (0, 0)

C. (1,1)

D. (1, 3)

E. (2, 2)

When we insert the values of each axes into the inequality expressions given, we will discover that the ordered pairs that the inequalities true is (1,1) and (2, 2).

Learn more about inequality on brainly.com/question/25275758

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If a hose is filling a swimming pool at a rate of 20 liters per minute, how long will it take to fill the 3,600-gallon pool?

Cloud [144]

Answer: the correct answer is 11 hours, 21 seconds and 3738 fractions of a second.

Step-by-step explanation:

An American gallon has 3.78541 liters.

3,600 gallons are 13,627.46 liters since 3,600 gallons * 3.78541 liters per gallon= 13,627.46 liters

We will need 681.3738 minutes to fill the pool since 13,627.46 liters divided by 20 liters per minute = 681.3738 minutes

681.3738 minutes is 11 hours and 21.3738 seconds since 11*60 minutes + 21.3738 minutes = 660 minutes + 21.3738 seconds = 681.3738 or 681.3738 divided by 60 minutes ( 1 hour ) is 11 hours and 21.3738 seconds.

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3 years ago

If the volume of a sphere is 36 pi cubic units, what is the radius?

Radda [10]

Answer:

3 units

Step-by-step explanation:

Hello

The sphere volume is:

(4/3)*Pi*r^3

then

36 = (4/3)*Pi*r^3

36/[(4/3)*Pi] = r^3

8,5 = r^3

r = 3

Best regards

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3 years ago

Which sequences are arithmetic? Check all that apply.

spin [16.1K]

Answer:

3) 18, 5.5, –7, –19.5, –32, … sequence is in Arithmetic Progression.

5) 16, 32, 48, 64, 80 sequence is in Arithmetic Progression.

Step-by-step explanation:

If, a, b, c ,k, e ... is a given sequence.

Then the above sequence is in AP if b - a = c - b = k - c = ...

or, each term has same COMMON DIFFERENCE (d).

Here, take each sequence and check for the value of d.

1) –5, 5, –5, 5, –5, …

Here, 5 - (-5) = 10, -5 - 5 = -10

and 10 ≠ -10. So the sequence is NOT in Arithmetic Progression.

2)96, 48, 24, 12, 6

Here, 48 - 96 = -48, 24 - 48 = -24

and -48 ≠ -24. So the sequence is NOT in Arithmetic Progression.

3)18, 5.5, –7, –19.5, –32, …

Here, 5.5 - 18 = -12.5 , -7 - 5.5 = -12.5 ..

and -12.5 is the common difference.

So the sequence is in Arithmetic Progression.

4)–1, –3, –9, –27, –81, …

Here, -3-(-1) = - 2 -9 - (-3) = -6

and -2 ≠ -6. So the sequence is NOT in Arithmetic Progression.

5)16, 32, 48, 64, 80

Here, 32 - 16 = 16 , 48 - 32= 16 ..

and 16 is the common difference.

So the sequence is in Arithmetic Progression.

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