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victus00 [196]
3 years ago
5

Which number line represents the solution set for the inequality 2x – 6 ≥ 6(x – 2) + 8?

Mathematics
2 answers:
Gelneren [198K]3 years ago
6 0
2x - 6 > = 6(x - 2) + 8...distribute thru the parenthesis
2x - 6 > = 6x - 12 + 8...simplify
2x - 6 > = 6x - 4...subtract 6x from both sides
2x - 6x - 6 > = 6x - 6x - 4...simplify
-4x - 6 > = -4 ...add 6 to both sides
-4x - 6 + 6 > = -4 + 6...simplify
-4x > = 2...divide both sides by -4, change the inequality sign
x < = -2/4
x < = -1/2 or -0.5

so u would have a solid circle (because of ur equal sign) on -1/2...and the shading would go to the left (because less then goes to the left)

** the reason the inequality sign was changed is because when multiplying/dividing by a negative, u have to flip the sign...but dont forget to keep the = sign in there
tiny-mole [99]3 years ago
6 0

Answer:

C. x greater than or equal to 1/2

Step-by-step explanation: It was right on edge

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Jet001 [13]
They are absolutely right
4 0
3 years ago
Solve for the value of r help pls
Vera_Pavlovna [14]

Answer:

r=20

Step-by-step explanation:

since the angle and sum of a straight line is equal to 180, you structure an equation:

180=105+(4r-5)

solve for r

180=100+4r

80=4r

20=r

check answer

4r-5     4(20)-5

80-5

75+105=180

3 0
3 years ago
Move the slider on the graph on the right to graph each function:
12345 [234]

The domain the function is x\geq 7.

In interval notation: [7,  ∞).

The range of the function is in the interval  (1, ∞).

The given function is y=\sqrt{x-7}+1.

The domain is x ≥ and the range is y ≥.

<h3>What is a function?</h3>

A technical definition of a function is a relation from a set of inputs to a set of possible outputs where each input is related to exactly one output.

Now, x-7\geq 0

⇒x\geq 7

Therefore, the domain the function is x\geq 7

The range of the function is the set of all values of y when we substitute the values of x.

Now, for x=7

y=\sqrt{7-7}+1=1

So, the value of y in the interval (1, ∞).

Therefore, the range of the function is in the interval  (1, ∞).

To learn more about functions visit:

brainly.com/question/12431044

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5 0
2 years ago
Ziyad is hoping to start his own lawn care business in Gettysburg, PA. Gettysburg has about 2,400 households. Ziyad went to
Irina-Kira [14]

Answer:

1380 households in Gettysburg are likely interested in using lawn care services

Step-by-step explanation:

To solve this question, we find the sample proportion and estimate for the entire population.

Sample proportion of households in Gettysburg that are likely to be interested in using lawn care services?

92 of 92 + 51 + 17 = 160 households.

92/160 = 0.575

Based on his results, how many households in Gettysburg are likely interested in using lawn care services?

Sample proportion of 0.575.

For the entire population of 2400 households:

0.575*2400 = 1380

1380 households in Gettysburg are likely interested in using lawn care services

5 0
3 years ago
WORKED EXAMPLES
Doss [256]

Answer:

20

Step-by-step explanation:

Vertical angles are equal to each other

x = -3x + 80

x + 3x = 80

4x = 80 divide both sides by 4

x = 20

3 0
3 years ago
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