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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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Answer:

Step-by-step explanation:

sides =8 cm, 17 cm and 15 cm

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3 years ago
Limit as x approaches 9 of x^2 -81/sqrt of x - 3
Ipatiy [6.2K]

Answer:

108

Step-by-step explanation:

Limit as x approaches 9 of x^2 -81/sqrt of x - 3

First substitute x into the expression

= 9²-81/√9 - 3

= 81-81/3-3

= 0/0 (indeterminate)

Apply l'hospital rule

= lim x -> 9 d/dx(x²-81)/√x - 3

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= 2(9)/1/2√9

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= 108

Hence the limit of the function is 108

7 0
3 years ago
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