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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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Determine if each situation represents a proportional relationship. Explain your reason 1. A brownie recipe calls for 3 parts co

Nataliya [291]

Answer:

Lizzy's recipe is not a proportional relationship with the brownie recipe because of the difference in ratio.

Step-by-step explanation:

Brownie recipe:

Cocoa powder = 3 parts

Flour = 2 parts

Ratio of cocoa powder to flour = 3 : 2

Lizzy's recipe:

Cocoa powder = 1 cup

Flour = 1 cup

Ratio of cocoa powder to flour = 1 : 1

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1 year ago

Misha’s group was asked to write an expression equivalent to 7y2z+3yz2-3 . When Mr. Chen checked their answers, he found only on

damaskus [11]

Answer:

hellena

Step-by-step explanation:

Rule is that you just have to match up the corrisponding numbers and exponents to make the right expression. Hope i'm right.

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3 years ago

Please help i’m actually crying rn give step by step

andrezito [222]

Answer:

X = 70 degrees

Step-by-step explanation:

The way to figure this out is by taking the angle of the 30 degrees and applying it to the opposite side of its self then just add it to the 80 degrees which will equal 110 and since a straight line has 180 degrees just subtract 180 by 110 and that will be the value of x because the lines are parallel and the line that goes through both lines will always have the same angle.

6 0

3 years ago

Can someone help me for this question please? Why I got wrong answer. ASAP!!!

Snowcat [4.5K]

Answer:

a=8.06

A=29.74

B=60.26

Step-by-step explanation:

This is a right angled triangle and Pythagoras theorem is to be obeyed.

To get c, we follow the Pythagoras rule that says

Hyp² = Opp² + Adj²

c= Hypotenuse

c²= a² + b²

c² = 4² + 7²

c² = 65

c = √65 = 8.06

For angle A,

the opposing side to the angle = a = 4

The adjacent side to the angle = b = 7

Following trigonometry rule.

Tan A = opp/adj

Tan A = 4/7

A = Tan–¹(4/7)

A = 29.74°

For angle B,

Opposing side = 7

Adjacent side = 4

Tan B = 7/4

B = Tan-¹(7/4)

B = 60.26°

5 0

3 years ago

The diagram represents a dilation with a center at P. If the scale factor of e dilation is K, which statement about the diagram

boyakko [2]

Answer:

C is correct. If the scale factor is greater than 1, the image is an enlargement. The segment UT could be an enlargement of the segment ST.

Step-by-step explanation:

A. If > 1, then the image of could be .

B. If 0 < < 1, then the image of could be . ( If the scale factor is between 0 and 1, the image is a reduction )

C. If > 1, then the image of could be .

D.If = 2, then the image of is itself.

A is not correct. If the scale factor is between 0 and 1, the image is a reduction.

B is not correct. If the scale factor is between 0 and 1, the image is a reduction.

C is correct. If the scale factor is greater than 1, the image is an enlargement.

D is not correct. If the scale factor is 1, the figure and the image are congruent.

8 0

3 years ago