Notation. x y means x is less than or equal to y. x y means x is greater than or equal to y. x < y means x is less than y. x > y means x is greater than y. The last two inequalities are called strict inequalities. Our focus will be on the nonstrict inequalities. Algebra of Inequalities Suppose x + 3 < 8. Addition works like for equations: x + 6 < 11 (added 3 to each side). Subtraction works like for equations: x + 2 < 7 (subtracted 4 from each side). Multiplication and division by positive numbers work like for equations: 2x + 12 < 22 =) x + 6 < 11 (each side is divided by 2 or multiplied by 1 2 ). 59 60 4. LINEAR PROGRAMMING Multiplication and division by negative numbers changes the direction of the inequality sign: 2x + 12 < 22 =) x 6 > 11 (each side is divided by -2 or multiplied by 1 2 ). Example. For 3x 4y and 24 there are 3 possibilities: 3x 4y = 24 3x 4y < 24 3x 4y > 24 4y = 3x + 24 4y < 3x + 24 4y > 3x + 24 y = 3 4x 6 y > 3 4x 6 y < 3 4x 6 The three solution sets above are disjoint (do not intersect or overlap), and their graphs fill up the plane. We are familiar with the graph of the linear equation. The graph of one inequality is all the points on one side of the line, the graph of the other all the points on the other side of the line. To determine which side for an inequality, choose a test point not on the line (such as (0, 0) if the line does not pass through the origin). Substitute this point into the linear inequality. For a true statement, the solution region is the side of the line that the test point is on; for a false statement, it is the other side.
<h3>
Answer: 0.8704</h3>
Explanation:
40% of the bulbs are pink, 60% are red
the probability of picking pink is 0.40 and the probability of not picking pink is 0.60
The chances of getting 4 non-pink in a row is 0.6*0.6*0.6*0.6 = 0.6^4 = 0.1296
The complement to this event is getting at least one pink bulb, which has a chance of 1-0.1296 = 0.8704
0.8704 converts to 87.04%
50, as if 5 of the point 3 tablets equals 1.5, and then multiply that by ten and you get 50.
6x^5 - 30x^4 - 84x^3
we can factor out 6x^3
6x^3(x^2 - 5x - 14)
Also, we can factor x - 7 and x + 2 out of x^2 - 5x - 14
The final answer = 6x^3(x - 7)(x + 2)
Your answer should be B : )
I hope this helps!
please mark this as the brainliest
