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3 years ago

What is the solution set for the given inequality if the replacement set for r is {5, 6, 7, 8, 9, 10}?

1 answer:

3 0

Hi there! The answer is B.

$5r \leqslant 6r - 8$
Subtract 6r from both sides.

$- r \leqslant - 8$
Divide both sides of the inequality by -1. Remember that dividing by a negative makes the sign flip.

$r \geqslant 8$
Therefore, the solution must be bigger than or equal to 8. From the given solution set, the answer is B. {8, 9, 10}

~ Hope this helps you!

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Freddy poured 1.4 liters of soda pop from a full 2-liter container. How much soda pop was left in the container?

german

Answer:

0.6 liters left

Step-by-step explanation:

So we know that the container is filled with 2 liters.

We also know that he poured 1.4 liters out of the container.

This leads to the conclusion

2 - 1.4 = 0.6

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3 years ago

Read 2 more answers

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The tasks were previously required human intelligence and discernment but can now be handled by a robot or a computer.

<h3>Question Completion:</h3>

Artificial Intelligence (AI) is not a new phenomenon, but it is still a growing concern for many industries. While the human element remains the most important factor in most businesses, the accounting industry is not exempt from the threat of new technologies. If you were the owner of a medium to a large company, how could you use new technologies such as AI to support your daily operations? Select and discuss one of the options below.

<h3>Answer Options:</h3>

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6 0

3 years ago

Find the value of x that makes m|n.<br> m<br> (6x + 10)<br> (2x + 26)<br> The value of x is ?

olga nikolaevna [1]

Answer:

x is 9

Step-by-step explanation:

6x+10=2x+26

-2x -2x

4x+10=26

+10 +10

4x=36

--- ---

4 4

x=9

8 0

3 years ago

Write 3x^2-18x-6 in vertex form

Vedmedyk [2.9K]

The standard form of a quadratic equation is $\displaystyle{ y=ax^2+bx+c$ , while the vertex form is:

$y=a(x-h)^2+k$ , where (h, k) is the vertex of the parabola.

What we want is to write $\displaystyle{ y=3x^2-18x-6$ as $y=a(x-h)^2+k$

First, we note that all the three terms have a factor of 3, so we factorize it and write:

$\displaystyle{ y=3(x^2-6x-2)$ .

Second, we notice that $x^2-6x$ are the terms produced by $(x-3)^2=x^2-6x+9$ , without the 9. So we can write:

$x^2-6x=(x-3)^2-9$ , and substituting in $\displaystyle{ y=3(x^2-6x-2)$ we have:

$\displaystyle{ y=3(x^2-6x-2)=3[(x-3)^2-9-2]=3[(x-3)^2-11]$ .

Finally, distributing 3 over the two terms in the brackets we have:

$y=3[x-3]^2-33$ .

Answer: $y=3(x-3)^2-33$

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4 years ago

The local sports shop has backpacks on sale for $28. The original price was $40. What is the percent decrease for the backpack p

emmainna [20.7K]

30%. 40-28 =12. 12/40 =30%

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4 years ago