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3 years ago

The quadratic function fhas a vertex at (3,4) and opens upward. The quadratic function g is shown below.

Mathematics

1 answer:

Alecsey [184]3 years ago

6 0

Answer:

Option (C)

Step-by-step explanation:

Equation of the quadratic function having vertex at (3, 4) and opening upwards,

So the the minimum point of the function is (3, 4).

Therefore, minimum value of the function is 4 at x = 3.

y = (x - h)² + k [Here, (h, k) is the vertex]

g(x) = 2(x - 4)² + 3

Vertex of the parabola is (4, 3).

Since, leading coefficient is positive, parabola will open upwards.

Therefore, vertex will be the minimum point.

Minimum value of the function will be 3 at x = 4.

Minimum value of the function 'f' is greater than the minimum value of the function 'g'.

Option (C) will be the answer.

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3 years ago

Wee-Mobile is offering a cell phone family plan for its users. The breakdown of the cost of the plan per month is given below.

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3 years ago

A university found that 20% of its students withdraw without completing the introductory statistics course. Assume that 20 stude

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Answer:

Step-by-step explanation:

Given that a university found that 20% of its students withdraw without completing the introductory statistics course.

Each student is independent of the other and there are only two outcomes

X no of students in the registered 20 is binomial with p = 0.2

a)the probability that two or fewer will withdraw.

= $P(X\leq 2)\\=0.2061$

b. Compute the probability that exactly four will withdraw.

= $P(X=4) = 0.2182$

c. Compute the probability that more than three will withdraw.

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d. Compute the expected number of withdrawals.

E(x) = np = 4

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3 years ago