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2 years ago

The graph of g(x) is a reflection and translation of f(x) = ³√x.

Mathematics

2 answers:

oksano4ka [1.4K]2 years ago

7 0

Answer:

g(x) = -∛x - 1

Step-by-step explanation:

Original function :

f(x) = ∛x

Now, the graph has been reflected :

⇒ f'(x) = -∛x

And it has also been translated (1 unit right according to the graph) :

⇒ g(x) = -∛x - 1

Kipish [7]2 years ago

3 0

$g(x) = - \sqrt[3]{x - 1}$

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Assume that the average healthy body temperature is 98.249 degrees and the standard deviation is 0.733 degrees. How many standar

Leno4ka [110]

The standard deviation is 1.43 below the mean

<h3>How to determine the number of standard deviation?</h3>

The given parameters are:

Mean = 98.249

Standard deviation = 0.733

x = 97.2

To calculate the number of standard deviation below the mean, we use

$x = \bar x - n\sigma$

So, we have:

$97.2 = 98.249 - n * 0.7333$

Evaluate the like terms

$-1.049 =- n * 0.7333$

Divide both sides by -0.733

n =1.43

Hence, the standard deviation is 1.43 below the mean

Read more about standard deviation at:

brainly.com/question/15858152

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2 years ago

If two points known on the line AB in the coordinate plane is (7,15) and (18,42), calculate the following..

Ksju [112]

Answer:

Slope = 27/11
AB = 29.15 u

Step-by-step explanation:

Given :-

Two points are given to us .
The points are A(7,15) and B(18,42)

To Find :-

The slope of the line .
The length of line AB .

We can find the slope of the line passing through the points $( x_1,y_1)$ and $( x_2,y_2)$ as ,

$\implies m = \dfrac{ y_2-y_1}{x_2-x_{1}}$

Plug in the respective values ,

$\implies m = \dfrac{ 42-15}{18-7} \\\\\implies \boxed{ m = \dfrac{ 27}{11 }}$

Hence the slope of the line is 27/11 .

$\rule{200}2$

Finding the length of AB :-

We can find the distance between them by using the Distance Formula .

$\implies Distance =\sqrt{ (x_2-x_1)^2+(y_2-y_1)^2} \\\\\implies Distance =\sqrt{ (18-7)^2+(42-15)^2 } \\\\\implies Distance =\sqrt{ 11^2 + 27^2 } \\\\\implies Distance =\sqrt{ 121 + 729 } \\\\\implies Distance = \sqrt{ 850} \\\\\implies \boxed{ Distance = 29.15 \ units }$

Hence the length of AB is 29.15 units .

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3 years ago

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Answer:

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AleksAgata [21]

Answer:

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Step-by-step explanation:

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Phantasy [73]

Answer:

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3 years ago

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