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3 years ago

Which are correct representations of the inequality 6x2 3 + 4(2x - 1)? Select three options.

Mathematics

1 answer:

olga2289 [7]3 years ago

5 0

Answer:

Option A, B, and C.

Step-by-step explanation:

Given, 6x ≥ 3 + 4(2x - 1),

Solve to find the correct representations given in the options.

6x ≥ 3 + 4(2x - 1)

Apply distributive property

6x ≥ 3 + 8x - 4 (option B is correct) ✅

Add like terms

6x ≥ -1 + 8x

Add 1 to both sides

6x + 1 ≥ 8x

Subtract 6x from each side

1 ≥ 8x - 6x

1 ≥ 2x (option A is correct) ✅

Divide both sides by 2

1/2 ≥ 2x/2

½ ≥ x

½ ≥ x means all possible values of x are less than 0.5. representing this inequality on a graph, we would have the directed line starting at 0.5 moving towards our left.

This make option C correct.✅

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Answer:

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How do you divide 100.5/1.5

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Megan buys a 2-quart bottle of juice for $2.56. What is the unit rate of the cost of the juice?

Mila [183]

Answer: $0.04 per fluid ounce.

Step-by-step explanation:

Let's conver 2 quarts to ounces, as following:

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You know that she buys a 2-quart bottle of juice (or 64 ounces) for $2.56, therefore, to find the unit rate of the cost of the juice you must divide $2.56 by 64 ounces.

Then, you obtain the following result:

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4 years ago

How do you graph for the function Y= 1.5x

faltersainse [42]

Answer:

(1,- 1.5)

Step-by-step explanation:

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3 years ago

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9x2+4y2 = 36

valentinak56 [21]

Answer:

The foci of the given ellipse = (0 ,-√5 ) and ( 0, √5 )

Step-by-step explanation:

Step(i):-

Given Ellipse 9 x² + 4 y² = 36

$\frac{9x^{2} }{36} + \frac{4y^{2} }{36} =1$

⇒ $\frac{x^{2} }{4} + \frac{y^{2} }{9} = 1$

Step(ii):-

The Major axis lies on y-axis

Foci of the Formula C² = a² -b² = 9-4 =5

C = √5

The Foci is always lie on the major axis(longest) axis, spaced equally each side of the centre

Given ellipse of the foci is lie on Y- axis

Final answer:-

The foci of the given ellipse = (0 ,-√5 ) and ( 0, √5 )

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3 years ago