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4 years ago

Which represents the solution set of the inequality 5x-9 less than or equal to 21

2 answers:

7 0

First add nine to 21. This would now make the problem 5x>30. (I don't have the less than of equal to sign on my computer but its less than or equal to in your problem) divide five on both sides. This gives you x>6.

Hitman42 [59]4 years ago

3 0

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HELP PLEASE

Maurinko [17]

$\bf \cfrac{x^2-x-42}{x-6}\implies \cfrac{(x+7)\underline{(x-6)}}{\underline{x-6}}\implies x+7$

so.. the left-hand-side does indeed simplify to x+7, so the equation does check out.

however, notice something, for the equation of x+7, when x = 6, we get (6) + 7 which is 13.

BUT for the rational, we get $\bf \cfrac{x^2-x-42}{x-6}\qquad \boxed{x=6}\implies \cfrac{x^2-x-42}{\boxed{6}-6}\implies \stackrel{und efined}{\cfrac{x^2-x-42}{0}}$

so, even though the siimplification is correct, the rational or original expression is constrained in its domain.

6 0

4 years ago

For the function F defined by F(x)=x2−2x+4, find F(|−4|)

erastova [34]

By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.

<h3>How to evaluate a quadratic equation with an absolute value</h3>

Herein we must apply the definition of <em>absolute</em> value prior to evaluating the quadratic equation defined in the statement. From algebra we know that absolute values are defined as:

|x| = x, when x ≥ 0 or - x, when x < 0. (1)

Then, we apply (1) on the quadratic equation:

F(|x|) = |x|² - 2 · |x| + 4

As x < 0, by <em>absolute value</em> properties:

F(|x|) = x² + 2 · x + 4

F(|- 4|) = (- 4)² + 2 · (- 4) + 4

F(|- 4|) = 16 - 8 + 4

F(|- 4|) = 12

By definition and properties of the <em>absolute</em> value used on the <em>quadratic</em> equation we conclude that F(|- 4|) = 12.

To learn more on absolute values: brainly.com/question/1301718

#SPJ1

3 0

2 years ago

Solve 6 11/12 - (2 1/4 + 3 2/3). Do the operation in parentheses first. Show all your steps.

Leto [7]

Answer:

Step-by-step explanation:

1. Add: 2 1/4 + 3 2/3 = 5 11/12

2. Subtract: 6 11/12 - 5 11/12 = 1

So, 6 11/12 - (2 1/4 + 3 2/3) = 1

3 0

2 years ago

Read 2 more answers

The radius of a cylindrical construction pipe is 2 ft. If the pipe is 23 ft long, what is its volume?

Bezzdna [24]

23ft kekdkfkkfkf 23 for the number above

7 0

3 years ago

What is 47.02 as a mixed number

mamaluj [8]

3 11/12 is the answer. 47.02 equals 47/12 as a fraction if you divide 47 by 12 you will get 3 with a remainded of 11/12. Therefore, the mixed number is 3 11/12

8 0

3 years ago