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maw [93]
2 years ago
15

Which number line represents the solution set for the inequality 3(8 – 4x) < 6(x – 5)?

Mathematics
1 answer:
vladimir2022 [97]2 years ago
6 0

The option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.

<h3>What is inequality?</h3>

It is defined as the expression in mathematics in which both sides are not equal they have mathematical signs either less than or greater than known as inequality.

The options are attached in a picture please refer to the attached picture.

We have an inequality:

3(8 – 4x) < 6(x – 5)

After solving:

8 - 4x < 2(x - 5)

8 - 4x < 2x - 10

8 + 10 < 2x + 4x

18 < 6x

3 < x  or

x > 3

x ∈ (3, ∞)

Thus, the option second "A number line from negative 5 to 5 in increments of 1. An open circle is at 3 and a bold line starts at 3 and is pointing to the right" is correct.

Learn more about the inequality here:

brainly.com/question/19491153

#SPJ1

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UkoKoshka [18]

Answer:

y=|x|

Step-by-step explanation:

We know

general modulus function passes through origin as |0| is 0

And it's symmetric on both sides of y axis .

As it's not one -one function

Means

  • f(-1)=|-1|=1
  • f(1)=|1|=1

So the graph is y=|x|

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2 years ago
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For the following right triangle, find the side length x. Round your answer to the nearest hundredth.
Aleksandr-060686 [28]

Answer:

\sqrt{113} = x

Step-by-step explanation:

In right triangles the sum of square length of two legs is equal to square length of hypotenuse:

7^2 + 8^2 = x^2

49 + 64 = x^2 add like terms

113 = x^2 find the root for both sides

\sqrt{113} = x

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2 years ago
A company spent 32% of its annual budget developing a new machine. What fraction of the company's budget was spent developing th
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Answer:

A percentage by definition means out of a hundred.

Anything out of a percent is anything out of a hundred.

In this case it’s 32 percent.

It’s just 32/100

When simplified you’d get 8/25

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2 years ago
HELPPP Provide the missing statements and reasons for the following proof:
agasfer [191]

The missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

Given the proof to show that ∠1 is supplementary to ∠2, thus:

Since lines m and n are parallel to each other,

∠2 and ∠3 are corresponding angles, so, ∠2 ≅ ∠3 based on the corresponding angles theorem.

Since ∠1 and ∠3 form a linear pair, they are supplementary to each other.

By substitution, we would have m∠1 + m∠2 = 180°.

Therefore, we can conclude that ∠1 is supplementary to ∠2.

In summary, the missing statements and reasons in the proof showing that ∠1 is supplementary to ∠2 are:

S2: ∠2 ≅ ∠3

R2: corresponding angles

S3: m∠2 ≅ m∠3

R3: Definition of congruent angles

R5: Definition of supplementary angles

S7: m∠1 + m∠2 = 180°

S8: ∠1 is supplementary to ∠2

Learn more about supplementary angles on:

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2 years ago
What is Mulitpaction
kramer

Answer:

Multiplication is one of the four elementary mathematical operations of arithmetic, with the others being addition, subtraction and division

Step-by-step explanation:

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