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3 years ago

Please Help! Are F(x) and G(x) inverse functions across the domain [3,+∞)?

Mathematics

1 answer:

allochka39001 [22]3 years ago

5 0

Answer:

Explanation:

For functions to be inverse, it must be true that f( g(x) ) = x and g( f(x) ) = x.

But for F( G(x) ), we have √( G(x) - 3 ) + 8

= √( (x+8)² - 3 - 3 ) + 8

= √( (x+8)² - 6 ) + 8

This -6 part should be cancelled out for functions to work out but we cannot do that, therefore F(x) and G(x) are not inverse.

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Listed below are prices in dollars for one night at different hotels in a certain region. Find the range, variance, and standar

Artyom0805 [142]

Answer:

Range = 115$

Standard Deviation = 43.76$

Variance = 1915.142$

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

Step-by-step explanation:

We are given the data for prices in dollars for one night at different hotels in a certain region.

234, 160, 119, 131, 218, 207, 146, 141

Range:

Sorted data: 119, 131, 141, 146, 160, 207, 218, 234

$\text{Range} = 234-119 = 115\$$

Standard Deviation:

$\text{Standard Deviation} = \sqrt{\displaystyle\frac{\sum (x_i -\bar{x})^2}{n-1}}$

where $x_i$ are data points, $\bar{x}$ is the mean and n is the number of observations.

$Mean = \displaystyle\frac{\text{Sum of all observations}}{\text{Total number of observation}}$

$Mean =\displaystyle\frac{1356}{8} = 169.5$

Sum of squares of differences = 4160.25 + 90.25 + 2550.25 + 1482.25 + 2352.25 + 1406.25 + 552.25 + 812.25 = 13406

$\sigma = \sqrt{\dfrac{13406}{7}} = 43.76\$$

Variance =

$\sigma^2 = 1915.142\$$

Measure of variance for someone searching for room:

Option A) The measures of variation are not very useful because when searching for a room, low prices, location, and good accommodations are more important than the amount of variation in the area.

5 0

3 years ago

I need this quick please answer fast

Sonja [21]

Answer:

the figures are congruent because they have 3 congruent sides and three congruent angles

4 0

3 years ago

Read 2 more answers

A viewfinder has a triangular lens. Some of the measurement of the length are shown below. Which of the following best represent

S_A_V [24]

Answer:

Step-by-step explanation:

First, we need to find the unknown angle of the triangle.

40 + 20 = 60

180 - 60 = 120

So the unknown angle is 120.

Then, we can use the law of sines to create a proportion.

sin(120)/8 = sin(40)/a

Then, we can simplify this.

a is about 5.9, or answer choice A.

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3 years ago

Which of the following describes sec(205°)?

kap26 [50]

This is the concept of trigonometry, to solve the question we proceed as follows;
sec(x)=1/cosx
thus;
sec(205)=1/cos205
=1/-0.9063
=-1.1034
this implies that:
sec(205)<-1

4 0

3 years ago

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Branliest if correct

bogdanovich [222]

$-12x -18y - 3.6\\\\=-6(2x +3y +0.6)$

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3 years ago