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3 years ago

Show all your work to find the axis of symmetry of f(x) = −2(x − 4)^2 + 2.

Mathematics

1 answer:

Naya [18.7K]3 years ago

6 0

Answer:

-2(x^2+15)

Step-by-step explanation:

f(x) = −2(x − 4)^2 + 2.

Expanding (x-4)^2

(x-4)(x+4)

x(x+4)-4(x+4)

x^2+4x-4x-16

x^2-16

F(x) = -2(x^2-16)+2

-2x^2-32+2

-2x^2-30

-2(x^2+15)

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nadezda [96]

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2 years ago

The number of chairs on a ski lift is inversely proportional to the distance between them a lift has 70 chairs when there’s spac

zhannawk [14.2K]

Answer:

Space between 80 evenly spaced chairs = 21m

Step-by-step explanation:

So, according to the given statement, we have the following expression:

No. of chairs ∝ $\frac{1}{Distance.Between.chairs}$

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1 ∝ $\frac{1}{24 (70)}$ -----------------------(Equation 1)

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Multiply both sides of Equation.1 by 80

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3 years ago

Then, answer Part B. A number cube that has sides numbered 1 through 6 is rolled 180 times. Part A How many times would you expe

Nitella [24]

Using the binomial distribution, it is found that the expected values are given by:

a) 120.

b) 150.

<h3>What is the binomial probability distribution?</h3>

It is the probability of exactly x successes on n repeated trials, with p probability of a success on each trial.

The expected value of the binomial distribution is:

E(X) = np

In this problem, for both items, we consider that the number cube is rolled 180 times, hence n = 180.

Item a:

4 of the 6 possible values are greater than 2, hence p = 4/6 = 2/3.

The expected value is given by:
E(X) = 180 x 2/3 = 120.

Item b:

5 of the 6 values are less than 6, hence p = 5/6.

The expected value is given by:
E(X) = 180 x 5/6 = 150.

More can be learned about the binomial distribution at brainly.com/question/24863377

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2 years ago

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jolli1 [7]

Answer:

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For the 4 triangular faces, find the area with 1/2 × base × height = 1/2 × 5 × 8 = 20

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3 years ago