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Sophie [7]
3 years ago
11

Find f(x) and g(x) so that the function can be described as y = f(g(x)). (5 points) y = eight divided by square root of quantity

two x plus four.
Mathematics
1 answer:
zubka84 [21]3 years ago
6 0

Answer:

  • f(x) = 8/√x
  • g(x) = 2x+4

Step-by-step explanation:

For this sort of problem, there can be an infinite number of answers.

It can be convenient to choose one of the simpler answers by looking at the operations that are performed on the variable. Here, you have ...

  • 2 multiplies it
  • 4 is added to the product
  • the square root is taken
  • 8 is divided by that root

You can work from the bottom up and define the outer function (f(x)) to be any of these operations. In our answer above, we have elected to include the "square root" and the "8 divided by that root" in our definition of f.

Then our function g takes care of the other operations.

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HELP! How do I complete this table?
zloy xaker [14]

Answer:

6 1/2

Step-by-step explanation:

i don't know the rest but I know that that one might be 6 1/2

4 0
2 years ago
There are 450 total students at Snowden School. On Tuesdays, 12% of the students stay after school for Comedy Club. How many stu
Anestetic [448]

Answer:

54 students

Step-by-step explanation:

First, change the percent to a decimal.

12% = 0.12

Now, multiply the decimal by the total amount of students to find the amount of students that stay after school.

450 × 0.12 = 54

54 students stay after school for Comedy Club.

6 0
3 years ago
Read 2 more answers
The contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces. We are interested in testing to d
NikAS [45]

Answer:

Option b. should not be rejected

Step-by-step explanation:

We are given that the contents of a sample of 26 cans of apple juice showed a standard deviation of 0.06 ounces.

We have to test whether the variance of the population is significantly more than 0.003, i.e.;

  Null Hypothesis, H_0 : \sigma = \sqrt{0.003}

Alternate Hypothesis, H_1 : \sigma > \sqrt{0.003}

The test statistics used here for testing variance is;

          T.S. = \frac{(n-1)s^{2} }{\sigma^{2} } ~ \chi^{2}__n_-_1

where, s = sample standard deviation = 0.06

           n = sample size = 26 cans

So, Test statistics = \frac{(26-1)0.06^{2} }{0.003 } ~ \chi^{2}__2_5

                            = 30

So, at 5% level of significance chi square table gives critical value of 37.65 at 25 degree of freedom. Since our test statistics is less than the critical so we have insufficient evidence to reject null hypothesis.

Therefore, we conclude that null hypothesis should not be rejected and variance of population is 0.003.

5 0
3 years ago
The set of order pairs (-1, 8), (0,3) (1,2) and (2, -7) represent a function. What is the range of the function?
goldfiish [28.3K]
Answer: The range is the set {8, 3, 2, -7} which can be sorted to get {-7, 2, 3, 8}

------------------------------------------------------------------------------

Explanation:

The range is simply the set of possible y values. All you have to do is list all the y coordinates and surround the values in curly braces. The curly braces indicate a set. Every point is of the form (x,y). The y coordinate is the second value listed of each ordered pair.
8 0
3 years ago
Need help as quickly as possible
Solnce55 [7]

The measure of the unknown angles in the kite are as follows;

  • x = 66 degrees
  • y = 158 degrees

<h3>How to find the measure of a kite?</h3>

A kite has two pairs of adjacent equal sides.

In other words, a kite is a quadrilateral that has 2 pairs of equal-length sides and these sides are adjacent to each other.

One pair of opposite angles is equal. Diagonals are perpendicular to each other.

A kite has four interior angles and the sum of these interior angles is 360°

Therefore, the measures of the

x = 66 degrees.

Let's find y.

y = 360 - 70 - 66 - 66

y = 158 degrees.

learn more on kites here: brainly.com/question/24263475

#SPJ1

6 0
1 year ago
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