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3 years ago

Which of these relations is a function? Which number?

Mathematics

1 answer:

PolarNik [594]3 years ago

5 0

Answer:

#1 is the only relation that is a function.

Step-by-step explanation:

The definition of a function is that every x value (within the interval; for continuous functions) has one y value. This means that one x value CANNOT have two y values and still be a function. You can use the vertical line test, do this by imagining a vertical line going up and down the graph. If that line touches two or more points, then that means there are more than 1 y value for at least one of the x values. That is a quick way to determine if it's a function. Only #1 passes this test.

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Ms. Durand has an obsession with Christmas. She is standing 8ft away from a 20ft Christmas Geometree. She wonders, "hmmm, what i

djverab [1.8K]

Answer:

68.20°

Step-by-step explanation:

Using Pythagoras rule :

Tanθ = opposite / adjacent

Adjacent = 8ft

Opposite = 20

Tanθ = 20 / 8

θ = tan^-1(20/8)

= 68.198590

Hence, angle of elevation = 68.2°

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3 years ago

The histogram shows the number of cell phone calls received by Medera, a middle school student, on 10 a.m. to 10 p.m. Cell Phone

DerKrebs [107]

Answer:

A. Medera turned the phone off while playing in the soccer game

Step-by-step explanation:

3 0

3 years ago

Read 2 more answers

- 1 ≥ -8; multiply both sides by -2

Andreyy89

The answer would be 2 ≥ 16. This statement would be false. It would have to be 16 ≥ 2 to be true.

Hope this helps! :)

4 0

3 years ago

Read 2 more answers

A man that is 6 feet tall is standing so that the tip of his shadow is 20 feet from a light pole. His shadow is 8 feet long. Wha

pychu [463]

Answer:

The answer to your question is: the height of the light pole is 15 ft.

Step-by-step explanation:

See the picture below

Now, we can do proportions to finds the height of the light pole

$\frac{20}{8} = \frac{x}{6}$

Solve for x

x = 6(20) / 8

x = 120 / 8

x = 15 ft

4 0

3 years ago

You are preparing a variety of pastries for a party you are catering. You anticipate each

Brilliant_brown [7]

<h2>Answer:</h2>

a.) <u>Exact result: 10.9375. Approximate: 11 quarts of heavy cream</u>.

b.) <u>Exact result: 65.625. Approximate: 66 eggs</u>.

c.) <u>Exact result: 43.75. Approximate: 44 lemons</u>.

<h2>Step-by-step explanation:</h2><h3>a.) How many quarts of heavy cream will you need?</h3>

<em>If 400 guest will consume 1.75 pastries, then the total of pastries is:</em>

$400*1.75=700$

<em>If one quarter of the pastries will have 2 ounces of lemon filling, then the amount of pastries that will ahve this filling is:</em>

<em /> $700*\frac{1}{4}= 175$

<em>If 175 will have 2 ounces of lemon filling, then the ounces of lemon filling needed is:</em>

<em /> $175*2=350$

<em>Then, the mass, in pounds, of lemon filling needed is:</em>

$350/16=21.875$

<em>To find the quarts of heavy cream needed, set up a rule of 3 like this:</em>

<em>2 pounds of filling ------------ 1 quart of heavy cream</em>

<em>21.875 pounds of filling ----- x</em>

<em /> $x= \frac{21.875*1}{2} =10.9375$

The amount of quarts of heavy cream needed is, approximately, 11.

<em />

<h3>b.) How many dozen eggs should you order?</h3>

<em>Do the same rule of 3 as in question 1, except that now we substitute the ingredient and que quantity:</em>

<em>2 pounds of filling ------------ 6 eggs</em>

<em>21.875 pounds of filling ----- x</em>

$x= \frac{21.875*6}{2} =65.625$

The amount of eggs needed is, approximately, 66.

<h3>c.) A lemon will yield 2 ounces of juice. How many lemons should you order?</h3>

<em>First, let's find out how many cups of lemon juice are needed through a rule of 3.</em>

<em>2 pounds of filling ------------ 1 cup of lemon juice</em>

<em>21.875 pounds of filling ----- x</em>

<em /> $x= \frac{21.875*1}{2} =10.9375$

<em>Now, convert the cups to ounces.</em>

10.9375 cups * 8= 87.5 ounces.

<em />

<em>Set up another rule of 3 to determine the number of lemons.</em>

<em>2 ounces ------------ 1 lemon</em>

<em>87.5 ounces ----- x</em>

<em /> $x= \frac{87.5*1}{2} =43.75$

The amount of lemons needed is, approximately, 44.

3 0

2 years ago