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3 years ago

Which compound inequality is equivalent to |ax-b|>c for all real numbers a, b, and c, where c>0

Mathematics

2 answers:

Doss [256]3 years ago

8 0

Answer:

Step-by-step explanation:

Keywords

compound inequality, absolute value, equivalent

we have

we know that

To find the compound inequality calculate the two solutions of the absolute value

First solution (case positive)

-------> inequality A

Second solution (case negative)

-------> inequality B

Multiply by all expression

therefore

is equivalent to

and

The answer is

The equivalent compound inequality is

garik1379 [7]3 years ago

6 0

Answer:

D. ax-b<-c or ax-b>c is the correct answer.

Step-by-step explanation:

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What is 720° converted to radians? <br> a) 1/4<br> b) pi/4<br> c) 4/pi<br> d) 4pi

baherus [9]

4π radians

<h3>Further explanation</h3>

We provide an angle of 720° that will be instantly converted to radians.

Recognize these:

$\boxed{ \ 1 \ revolution = 360 \ degrees = 2 \pi \ radians \ }$
$\boxed{ \ 0.5 \ revolutions = 180 \ degrees = \pi \ radians \ }$

From the conversion previous we can produce the formula as follows:

$\boxed{\boxed{ \ Radians = degrees \times \bigg( \frac{\pi }{180^0} \bigg) \ }}$
$\boxed{\boxed{ \ Degrees = radians \times \bigg( \frac{180^0}{\pi } \bigg) \ }}$

We can state the following:

Degrees to radians, multiply by $\frac{\pi }{180^0}$
Radians to degrees, multiply by $\frac{180^0}{\pi }$

Given α = 720°. Let us convert this degree to radians.

$\boxed{ \ \alpha = 720^0 \times \frac{\pi }{180^0} \ }$

720° and 180° crossed out. They can be divided by 180°.

$\boxed{ \ \alpha = 4 \times \pi \ }$

Hence, $\boxed{\boxed{ \ 720^0 = 4 \pi \ radians \ }}$

- - - - - - -

<u>Another example:</u>

Convert $\boxed{ \ \frac{4}{3} \pi \ radians \ }$ to degrees.

$\alpha = \frac{4}{3} \pi \ radians \rightarrow \alpha = \frac{4}{3} \pi \times \frac{180^0}{\pi }$

180° and 3 crossed out. Likewise with π.

Thus, $\boxed{\boxed{ \ \frac{4}{3} \pi \ radians = 240^0 \ }}$

<h3>Learn more </h3>

A triangle is rotated 90° about the origin brainly.com/question/2992432
The coordinates of the image of the point B after the triangle ABC is rotated 270° about the origin brainly.com/question/7437053
What is 270° converted to radians? brainly.com/question/3161884

Keywords: 720° converted to radians, degrees, quadrant, 4π, conversion, multiply by, pi, 180°, revolutions, the formula

6 0

2 years ago

Read 2 more answers

A _[blank 1]_ is a number whose only factors are 1 and itself. If a number has other factors besides 1 and itself, it is called

kykrilka [37]

Numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Given a paragraph in which there are blanks:

A _____ is a number whose only factors are 1 and itself. If a number has factors besides 1 and itself, it is called a _____. You can use divisibility rules or _______ to help you determine whether a number is prime or composite.

We are required to fill the blank with appropriate options.

We have to fill "prime numbers" in the first blank.

We have to fill "composite numbers" in the second blank.

We have to fill "the sieve of Eratosthenes" in the third blank.

Hence numbers whose only factors are 1 and itself is known as prime numbers , numbers whose factors besides 1 and itself are composite numbers, we can use the sieve of Eratosthenes to determine whether the number is prime or composite.

Learn more about prime numbers at brainly.com/question/145452

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3 0

1 year ago

Can you combine like terms without formally showing the distributive property? Explain.

blsea [12.9K]

Yes you can! Say you have 5(2 + x) + 3x. The answer would be 10+8x because when you use the distributive property you will end up getting 5*2 5*x and once you multiply, it's obvious 5 times 2 is 10 and 5 times x will equal 5x. Then you add 5x and 3x and get 8x. So, the simplified expression here is 10+8x. When you have this as an answer it's proving your answer right. You can without using the distributive property. We can have 10+5x+3x and it will be your simplified expression. It's the same thing with equations too.

6 0

2 years ago

How much time did Cole spend painting?

Katyanochek1 [597]

1 and 11/12 hours I think

6 0

3 years ago

The distance between the cities Atlanta and Indianapolis is 540 miles. A motorcycle's speed is 48 mph. For a car it takes 2.25 h

WITCHER [35]

Answer:

It will take them 5 hours to meet if they start moving towards eachother simultaneusly.

Step-by-step explanation: