Answer: (2, -25)
Step-by-step explanation:
The x coordinate of the vertex is 
.
When x=2, 
.
So, the vertex is (2, -25).
Answer:
Example:
A bag contains 3 black balls and 5 white balls. Paul picks a ball at random from the bag and replaces it back in the bag. He mixes the balls in the bag and then picks another ball at random from the bag.
a) Construct a probability tree of the problem.
b) Calculate the probability that Paul picks:
i) two black balls
ii) a black ball in his second draw
Solution:
tree diagram
a) Check that the probabilities in the last column add up to 1.
b) i) To find the probability of getting two black balls, first locate the B branch and then follow the second B branch. Since these are independent events we can multiply the probability of each branch.
ii) There are two outcomes where the second ball can be black.
Either (B, B) or (W, B)
From the probability tree diagram, we get:
P(second ball black)
= P(B, B) or P(W, B)
= P(B, B) + P(W, B)
Answer:
b - 1/4 = 3 1/2
Step-by-step explanation:
b - 1/4 = 3 1/2
b - 1/4 = (3 + 1/2)
4b = 15
b = 15/
4
= 3.75
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❖ 2. a: Associative property b: Associative property c: Associative property
d: Associative property
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Answer:
Generally, the algebraic expression should be any one of the forms such as addition, subtraction, multiplication and division. To find the value of x, bring the variable to the left side and bring all the remaining values to the right side. Simplify the values to find the result.
I hope it's helpful!
