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Sergio039 [100]
3 years ago
11

What value of x is in the solution set of 2(3x-1) ≥4x-6​

Mathematics
1 answer:
astra-53 [7]3 years ago
4 0

Answer:

\large\boxed{x\geq-2\to x\in[-2,\ \infty)}

Step-by-step explanation:

2(3x-1)\geq4x-6\qquad\text{use distributive property}\ a(b-c)=ab-ac\\\\(2)(3x)-(2)(1)\geq4x-6\\\\6x-2\geq4x-6\qquad\text{add 2 to both sides}\\\\6x\geq4x-4\qquad\text{subtract 4x from both sides}\\\\2x\geq-4\qquad\text{divide both sides by 2}\\\\x\geq-2

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3 0
3 years ago
Is the point (2,8) a solution of the equation y = 13x + 12?<br> O Yes<br> O No
vovikov84 [41]

Answer:

O No

Explanation:

Given equation: y = 13x + 12

To check if (2, 8) is a solution of the given equation.

Substitute x and y value in equation and check if it is true.

\rightarrow y = 13x+12

(x, y) = (2, 8)

\rightarrow 8 = 13(2)+12

simplify

\rightarrow 8 = 38

This following statement is false and hence (2, 8) is not a solution.

6 0
2 years ago
A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm. Calculate the volume of
never [62]

Answer:

The volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

Step-by-step explanation:

Formula

Volume\ of\ a\ cylinder = \pi r^{2} h

Volume\ of\ a\ cone = \pi r^{2} \frac{h}{3}

Where r is the radius and h is the height .

As given

A cylinder and cone have the same height and radius. The height of each is 5 cm, and the radius is 2 cm.

\pi = 3.14

Thus

Volume\ of\ a\ cylinder =3.14\times 5\times 2\times 2

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Thus the volume of a cylinder is 62.8 cm³ .

Volume\ of\ a\ cone = 3.14\times 2\times 2\times frac{5}{3}

Volume\ of\ a\ cone =\frac{5\times 3.14\times 2\times 2}{3}

Volume\ of\ a\ cone =\frac{62.8}{3}

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Thus the volume of a cone is 20.9 cm³ .

Therefore the volume of a cylinder is 62.8 cm and the volume of a cone is 20.9 cm³ .

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3 years ago
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1. No 2. Yes 3. No
I’m pretty sure
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