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Elza [17]
1 year ago
12

The speedometer in Henry's car is broken. The function y = |x - 8| represents the difference y between the car's actual speed x

and the displayed speed.
a) Describe the translation. Then graph the function.

b) Interpret the function and the translation in terms of the context of the situation.
Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
7 0

The interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

<h3>How to describe the translation. </h3>

The function is given as:

y = |x - 8|

The above function is an absolute function.

And the parent function of an absolute function is

y = |x|

When a function is translated right by h units, the new function is y = |x - h|

This means that the translation is a translation to the right by 8 units

See attachment for the graph the function.

<h3>Interpret the function and the translation in terms of the context of the situation.</h3>

The function is given as:

y = |x - 8|

This represents the difference y between the car's actual speed x and the displayed speed.

So, the interpretation of the function is that the difference y between the car's actual speed x and the displayed speed is 8

Read more about functions at:

brainly.com/question/2328150

#SPJ1

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Answer:

first we get y on one side by itself.

4x+5y=5

we'll move x to the other side.

4x-4x+5y=5-4x

simplify.

5y=5-4x

now we get rid of the coefficient on y.

5y/5=(5-4x)/5

simplify.

y=5/5-4x/5

y=1- \frac{4}{5}x

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Solve the initial-value problem<br><br> y' = x^4 - \frac{1}{x}y, y(1) = 1.
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Multiplying both sides by x gives

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Since y(1)=1,

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so that

\boxed{y(x)=\dfrac{x^5}6+\dfrac5{6x}}

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S_A_V [24]

Answer:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

P(z

Step-by-step explanation:

Previous concepts

Normal distribution, is a "probability distribution that is symmetric about the mean, showing that data near the mean are more frequent in occurrence than data far from the mean".

The Z-score is "a numerical measurement used in statistics of a value's relationship to the mean (average) of a group of values, measured in terms of standard deviations from the mean".  

Solution to the problem

Let X the random variable that represent the temperatures of a population, and for this case we know the distribution for X is given by:

X \sim N(123.8,3.1)  

Where \mu=123.8 and \sigma=3.1

We are interested on this probability

P(X

And the best way to solve this problem is using the normal standard distribution and the z score given by:

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If we apply this formula to our probability we got this:

P(X

And we can find this probability using excel or the normal standard tabe and we got:

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3 years ago
I need help to find the circumstance
ikadub [295]
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