1.introduce a constant k hence
y=kx then find the value of the constant first -4=k2 hence k =-2
y=-2×-6
y=12
Step-by-step explanation:
follow the same procedure for the others and remember if it is inversely proportional then it becomes y=k/x
Answer:

Step-by-step explanation:
we know that
The standard form of the quadratic equation is equal to
we have

eliminate the parenthesis

group terms that contain the same variable

combine like terms

ANSWER: x > -6
1. subtract 12 from each side
2. divide by -3 which will make the sign flip
Answer:
210 student's
Step-by-step explanation:
80 students chose the aquarium.
60 students chose the science center.
30 students chose the planetarium.
40 students chose the farm.
The students can't vote for more than one place, so you just add all the numbers together.
80 + 60 + 30 + 40 = 210 students
Answer: B. one-third
Step-by-step explanation:
Probability of picking a red marble, P(R) = 1/6
Probability of picking a yellow marble, P(Y) = 1/2
Therefore, the probability of picking a blue marble will be:
= 1 - (P(R) + P(Y))
= 1 - (1/6 + 1/2)
= 1 - (4/6).
= 1 - 2/3
= 1/3
The probability of picking a blue marble will be one third