3 years ago

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

Mathematics

1 answer:

Sophie [7]3 years ago

5 0

Answer:

x <= - 4 2/3

Step-by-step explanation:

3(x-4) ≥ 6x+2

Distributive property

3x - 12 ≥ 6x+2

-12 ≥ 3x + 2

re-write

3x + 2 <= -12

3x <= -14

x <= -14/3

x <= - 4 2/3

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Fed [463]

Answer:

A;-6

B;-8

C;-2

D;-14

E;-1

F;2

G;5

H;0

4 0

2 years ago

System of Equations <br> Need help<br> Trig

Yanka [14]

Looks like the system is

$\begin{cases}-2x+y+6z=1\\3x+2y+5z=16\\7x+3y-4z=11\end{cases}$

We can eliminate $y$ by taking

$(3x+2y+5z)-2(-2x+y+6z)=16-2(1)$

$\implies3x+2y+5z+4x-2y-12z=16-2$

$\implies7x-7z=14$

$\implies x-z=2$

so that $z=x-2$ , and

$(7x+3y-4z)-3(-2x+y+6z)=11-3(1)$

$\implies7x+3y-4z+6x-3y-18z=11-3$

$\implies13x-22z=8$

Substitute $z=x-2$ into this last equation and solve for $x$ :

$13x-22(x-2)=8$

$\implies13x-22x+44=8$

$\implies-9x=-36$

$\implies x=4$

Then

$z=x-2$

$\implies z=4-2$

$\implies z=2$

Plug these values into any one of the original equation to solve for $y$ :

$-2x+y+6z=1$

$\implies-2(4)+y+6(2)=1$

$\implies-8+y+12=1$

$\implies y=-3$

Hence the solution is x = 4, y = -3, and z = 2.

6 0

3 years ago

Using SET NOTATION, what is the solution set for the following equation? a² - 3 = 22

mixas84 [53]

Answer:

a = 5 or a = -5

Step-by-step explanation:

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3 years ago

Help me with this ASAP PLEASE

xxMikexx [17]

It is the first one

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3 years ago

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Jobisdone [24]

Answer: this was a rotation.

6 0

3 years ago

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

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