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2 years ago

Which graph represents y as a function of x?

Mathematics

1 answer:

Vilka [71]2 years ago

8 0

Answer:

Bottom left.

Step-by-step explanation:

In order for any of them to be the graph of a function you would need that given a value of x, you get no more than one value of y. Zero is fine, you just picked an x out of the domain.

In layman's terms it means that if you grab a ruler, a piece of paper, a pen, and you scan the graph moving the edge parallel to the y axis (ie, vertically) you are allowed to touch the graph only once. Top right is out. Bottom left is ok, bottom right is not: you have infinite points of contact in there.

Top left would be fine, if it wasn't for x = 1. In there you have two values marked with a solid dot. That makes it not the graph of a function.

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3 years ago

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Dhaulagiri is the 7th highest mountain in the world. Ms. Fink is walking through

11111nata11111 [884]

Answer:

4833 m

Step-by-step explanation:

Given that her angle of elevation at the first recording is 47.3 at an altitude of 4900 m

We use Pythagoras Theorem to get this done

We can say that the opposite of the angle is the altitude, while the hypotenuse of the triangle, is the distance between herself and the top

Using the sine angle rule, we have

Sine 47.3 = 4900 / h

h = 4900 / sin 47.3

h = 4900 / 0.7349

h = 6668 m

This means that she was 6668 m away from the top of the mountain

She then moves 1000 m closer to the mountain top, this means that our h = 6668 - 1000

Using the same sine angle rule, we have

Sine 58.5 = o / 5668

o = 5668 * sine 58.5

o = 5668 * 0.8526

o = 4833 m

She is 4833 m above the sea level

5 0

3 years ago

In the month of June, the temperature in Johannesburg, South Africa, varies over the day in a periodic way that can be modeled a

Art [367]

Answer:

The answer is " $\bold{T = - 7.5 \cos \frac{\pi}{12}( t - 4 )+ 10.5}$ "

Step-by-step explanation:

Given value:

Temp-maximum= $18^{\circ}$

Temp. minimum = $3^{\circ}$

It is halfway between 10 am and 10 pm to 4 am.

The sinus and cosine roles could be used throughout the year to predict fluctuations in climate models. Its type of formula that can be used to model such information is:

$T = A \cos B(t-C) + D,$ where parameters are A, B , C, D, T is the ° C temperature and t is the time (1-24)