6x – 8 = 4 written as a system. Hence second option is correct
<u>Solution:</u>
Given, equation is 6x – 8 = 4.
We have to find the equivalent system from given options.
First let us solve given equation, 6x – 8 = 4 ⇒ 6x = 4 + 8 ⇒ 6x = 12 ⇒ x = 2
Now, let us solve one by one option ,so that when we get above solution, that is correct option.
- y = 6x – 8 and y = -4 ⇒ put y = -4 in y = 6x – 8 ⇒ 6x – 8 = -4 ⇒ 6x = 8 – 4
⇒ 6x = 4 ⇒ x ≠ 2, wrong option
- y = 6x – 8 and y = 4 ⇒ put y = 4 in y = 6x – 8 ⇒ 6x – 8 = 4 ⇒ 6x = 8 + 4 ⇒ 6x = 12 ⇒ x = 2, right option.
- y = -6x + 8 and y = 4 ⇒ put y = 4 in y = -6x + 8 ⇒ -6x + 8 = 4 ⇒ 6x = 8 – 4 ⇒ 6x = 4 ⇒ x ≠ 2, wrong option
hence, second option is correct.
In the question we are given three lines L,M and N such that:
Line L is perpendicular to M
and line L is parallel to line N
so the option is (C) M is perpendicular N
Step-by-step explanation
We are given three lines L,M and N such that:
- Line L is perpendicular to M
- Line L is parallel to line N
<u>We know that when one line parallel to the second line and is perpendicular to the third line then the second line is also perpendicular to the third line.</u>
<u></u>
So,the answer is (C) M is perpendicular N
Answer:
Step-by-step explanation:
It's too bad about this problem. It's a fair game if you get paid the same amount that you have to pay if you lose.
You win 2 ways
- H - H
- T - T
- Probability 1/2
You lose 2 ways.
- H - T
- T - H
- Probability 1/2
Expectation
E = 1/2 * 3 - 1/2 * 4
E = 1.5 - 2
E = -0.5
Which means that you should expect to lose 0.5 dollars every time you play this dreadful game.
Answer: C.V=C1.V1 +C2.V2
Step-by-step explanation: C=(C1V1 + C2V2)/V -> C=(20%.V+25%V)/2V-> C=22,5%
