A. You have two inequalities:
If you multiply the first inequality by positive number 4 (multiplying inequality by positive number doesn't change the inequality sign), then you get the inequality
B. You have two inequalities:
If you multiply the first inequality by negative number -4 (multiplying inequality by negative number changes the inequality sign), then you get the inequality
Answer: option D.
Answer:
The correct option is C.
Step-by-step explanation:
From the given figure it is noticed that the coordinates of B are (-5,-7).
If ABC is reflected across x = 1, then
If ABC is reflected across y =-3.
Therefore option C is correct.
Answer:
20 times
Step-by-step explanation:
Given the following :
Probability of rolling a number less than 3 on a number cube:
Required outcome = (1, 2)
Total possible outcomes = (1, 2, 3, 4, 5, 6)
Required outcome / Total possible outcomes
= 2 /6
= 1/3
Hence, if number cube is rolled 60 times, number of times a number less than 3 is expected :
(Probability of obtaining a number less than 3 in one roll × number of rolls)
= (1 / 3) × 60
= 60 / 3
= 20 times
Answer:
x = -6
y = 9
Step-by-step explanation:
The sum of two numbers is 3
x + y = 3
twice the larger number is 36 more than three times the smaller number
2y = 3x + 36
Divide both sides by 2
y = 1.5x + 18
substitute for y in the first equation
x + (1.5x + 18) = 3
2.5x = -15
divide both sides by 2.5
x = -6
Substitute for x in the first equation
-6 + y = 3
y = 9
