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stich3 [128]
2 years ago
13

If h(x) = 6 - X, what is the value of (h*n (10)?

Mathematics
1 answer:
faltersainse [42]2 years ago
8 0

Answer:

<u>(h * h)(10) = 16</u>

Step-by-step explanation:

We should know that: (f*g)(x) = f(x)*g(x)

Given:   h(x) = 6 - x

∴(h * h)(x) = (6-x) (6-x) = (6-x)²

To find (h * h)(10), substitute with x = 10 at (h * h)(x)

∴ (h * h)(10) =  (6-10)² = (-4)² = 16

==============================================

Note: if we want to find (hoh)(10)

(hoh)(x) = h[h(x)] = 6 - (6 - x) = 6 - 6 + x = x

∴ (hoh)(10) = 10

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Answer:

x = 3

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2x = 6

x = 3 (Because we divide on both sides by 2 so that the x is by itself, 6/2 = 3)

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5\sqrt{10}\ units

5 StartRoot 10 EndRoot

Step-by-step explanation:

we know that

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Let

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Applying the Pythagorean Theorem

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substitute

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2 years ago
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How many unit angles does the smaller angle of a tan pattern block turn through
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2 years ago
Question 1 a
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Answer:

B) A one-sample t-test for population mean would be used.

Step-by-step explanation:

The complete question is shown in the image below.

The marketing executive is interested in comparing the mean number of sales of this year to that of previous year.

The marketing executive already has the value of mean from previous year and uses a sample to calculate the mean and standard deviation of sales for the current year.

Since, data is being collected for one sample only this limits us to chose between one sample test for mean. So now the possible options are one sample t-test for population mean and one sample t-test for population mean.

If we read the statement we can see that we have the value of sample mean and sample standard deviation. Value of population standard deviation is unknown. In cases where value of population standard deviation is not known and sample standard deviation is given, t-test is used.

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2 years ago
Ann took a taxi home from the airport. The taxi fare was \$2.10$2.10dollar sign, 2, point, 10 per mile, and she gave the driver
Studentka2010 [4]

Answer:

2.10x+5=49.10

Distance = 21 miles.  

Step-by-step explanation:

Let x be the distance in miles between the airport and Ann's home.

We have been given that Ann took a taxi home from the airport. The taxi fare was $2.10 per mile. So fare for x miles will be 2.10x.

We are also told that she gave the driver a tip of $5. Ann paid a total of $49.10. This means that fare of x miles and tip given to driver equals $49.10. We can represent this information in an equation as:

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