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2 years ago

Write a quadratic function whose graph has a vertex of (3,2) and passes through the point (4,7). f(x)=

Mathematics

1 answer:

agasfer [191]2 years ago

7 0

Answer:

y=5(x-3)^2+2

Step-by-step explanation:

You plug the point into f(x)=a(x-3)^2+2... that already has already been solved for the vertex that you want. Then you swap it out for the solution you have solved for.

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Set up and solve an equation:

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3 years ago

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3 years ago

Jill borrows a pencil and returns it after the Warm Up. She then borrows a different pencil to show work on her CFA.  The proba

mestny [16]

Probabilities are used to determine the chances of events

The probability that Jill selects a wooden pencil and then a mechanical pencil is 8%

<h3>How to calculate the probability</h3>

Represent the events as follows:

A represents mechanical pencil
B represents wooden pencil
C represents colored pencil

So, we have

P(A) = 20%

P(B) = 40%

P(C) = 30%

The probability that Jill selects a wooden pencil and then a mechanical pencil is then calculated as:

P(B n A) = P(B) * P(A)

This gives

P(B n A) = 40% * 20%

Evaluate the product

P(B n A) = 8%

Hence, the probability that Jill selects a wooden pencil and then a mechanical pencil is 8%