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Gelneren [198K]
3 years ago
6

Explain, in writing, what each parameter in the given function has on the graph of its parent function. (4 Points) () = −cos(1/2

x)-3
-3
1/2
4
'_'
Mathematics
1 answer:
Andrew [12]3 years ago
3 0

Answer:

The parameters in the parent function are:

  • the parameter correspondig to - 3 in the given function is 0 in the parent function.
  • the parameter corresponding to 1/2 in the given function is 1 in the parent function, and
  • the parameter corresponding to - 1 in the given function is 1 in the parent function.

Explanation:

The given function is f(x)=-cos(x/2)-3.

The parent function of f(x)=-cos(x/2-3)\text{ }is\text{ }h(x)=cosx. The parameters of the given function are -1 (which is mutlyplying the value of cosine, 1/2 which is multiplying the argument (x), and - 3 which is subtracted.

In the parent function, those values are 1, 1, and 0.

It may help you representing the parameters in the given function with letters:

  • y=A(Bx)-C

Then, in the given function A = - 1, B = 1/2, and C = -3.

Now, you can write the parent function:

  • y=1.cos(1.x)+0

Then, the parameters are A = - 1, B = 1, and C = 0.

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IRISSAK [1]

Answer:

1. 6n - 15

2. x + 10

3. -4d + 15

4. true, associative property

5. distributive, commutative

Step-by-step explanation:

1. distribute 3/4 into the parentheses, so multiply 3/4 * 8 and 3/4 * -20

2. distribute the 2 into the parentheses so multiply 2 * 3x and 2 * 5, then combine like terms

3. distribute -3 into the parentheses so -3 * 4D and -3 * -5 then add like terms

4. add like terms on both sides of the equal sign and you get 10x on both sides. this is the associative property because it doesn't matter what's inside or outside the parentheses you get the same answer no matter how you add them up

5. the first part is distributive because you distributed the three into the parentheses and the second part is commutative because you switch them around and you can get the same answer

6 0
3 years ago
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Stels [109]

Answer:

P(X > 25) = 0.69

Step-by-step explanation:

Normal Probability Distribution:

Problems of normal distributions can be solved using the z-score formula.

In a set with mean \mu and standard deviation \sigma, the zscore of a measure X is given by:

Z = \frac{X - \mu}{\sigma}

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

The sale prices for a particular car are normally distributed with a mean and standard deviation of 26 thousand dollars and 2 thousand dollars, respectively.

This means that \mu = 26, \sigma = 2

Find P(X>25)

This is 1 subtracted by the pvalue of Z when X = 25. So

Z = \frac{X - \mu}{\sigma}

Z = \frac{25 - 26}{2}

Z = -0.5

Z = -0.5 has a pvalue of 0.31

1 - 0.31 = 0.69.

So

P(X > 25) = 0.69

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Answer:

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