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lora16 [44]
3 years ago
14

Solve the following inequality for y. 18x + 6y > 12

Mathematics
1 answer:
Murljashka [212]3 years ago
3 0

Answer:

12

Step-by-step explanation:

Simplifying

18x + -6y = 12

Solving

18x + -6y = 12

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '6y' to each side of the equation.

18x + -6y + 6y = 12 + 6y

Combine like terms: -6y + 6y = 0

18x + 0 = 12 + 6y

18x = 12 + 6y

Divide each side by '18'.

x = 0.6666666667 + 0.3333333333y

Simplifying

x = 0.6666666667 + 0.3333333333y

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Step-by-step explanation:

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Answer:

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)

Step-by-step explanation:

The given values of the vectors are;

<u>u</u> = (2, -1, 3), <u>v</u> = (4, 0, -2), and <u>w</u> = (1, 1, 3)

The required vector is 2·<u>v</u> - (<u>u</u> + <u>w</u>)

2 × <u>v</u> = 2 × (4, 0, -2) = (8, 0, -4)

(<u>u</u> + <u>w</u>) = (2, -1, 3) + (1, 1, 3) = (3, 0, 6)

Therefore;

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (8, 0, -4) - (3, 0, 6) = (5, 0, -10)

2·<u>v</u> - (<u>u</u> + <u>w</u>) = (5, 0, -10)

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