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lukranit [14]
3 years ago
12

The function g(x) = x2 is transformed to obtain function h: h(x) = g(x + 1).

Mathematics
1 answer:
Anika [276]3 years ago
5 0

Good evening ,

Answer:

We just transform the g graph using a translation of vector (-i)

Step-by-step explanation:

Look at the photo below for the graphs.

:)

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Answer:

A. add 81; (x-9)^2

Step-by-step explanation:

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(a-b)^2=a^2-2ab+b^2

Rewrite expression x^2-18x as follows:

x^2-2\cdot 9\cdot x

So, to form a perfect square, +9^2 is missed.

When we add 9^2=81, we will get

x^2-2\cdot 9\cdot x+9^2=(x-9)^2

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Three potential employees took an aptitude test. Each person took a different version of the test. The scores are reported below
BARSIC [14]

Answer:

Due to the higher Z-score, Demetria should be offered the job.

Step-by-step explanation:

Z-score:

In a set with mean \mu and standard deviation \sigma, the z-score 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 p-value, we get the probability that the value of the measure is greater than X.

In this question:

Whichever applicant had grade with the highest z-score should be offered the job.

Demetria got a score of 85.1; this version has a mean of 61.1 and a standard deviation of 12.

For Demetria, we have X = 85.1, \mu = 61.1, \sigma = 12. So

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

Z = \frac{85.1 - 61.1}{12}

Z = 2

Vincent got a score of 299.2; this version has a mean of 264 and a standard deviation of 22.

For Vincent, we have X = 299.2, \mu = 264, \sigma = 22.

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

Z = \frac{299.2 - 264}{22}

Z = 1.6

Tobias got a score of 7.26; this version has a mean of 7.1 and a standard deviation of 0.4.

For Tobias, we have X = 7.26, \mu = 7.1, \sigma = 0.4.

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

Z = \frac{7.26 - 7.1}{0.4}

Z = 0.4

Due to the higher Z-score, Demetria should be offered the job.

3 0
3 years ago
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