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2 years ago

Which graph represents a function?

Mathematics

2 answers:

Agata [3.3K]2 years ago

8 0

The fourth one because to know if it is a function or not it has to pass the vertical line test the first one when you draw a vertical line some of the lines repeats so does the second and third but the last one when you draw a vertical line it doesn't repeat s that means its a function

Kay [80]2 years ago

3 0

Answer: The correct graph is the last one. Its image is attached.

Step-by-step explanation:

We are given the figures of four different graphs. We are to select the one which represents a function.

On a graph paper, a function is defined as follows:

FUNCTION: A graph on the co-ordinate plane represents a function if one value of 'x' corresponds to only one value of 'y'

That is, one value of 'x' cannot give two different values of 'y'.

We can see that

In graph (1), x = 1 corresponds to y = 3, -2.

In graph (2), x = 2 corresponds to y = 2, -2.

In graph (3), x = -3 corresponds to y = 2, -2.

So, these three graphs does not represent functions.

But, in graph (4), one value of 'x' gives only one value of 'y'.

For example, if x = 1, then y = 0

if x = 0, then y = 0, etc.

Therefore, graph (4) represents a function. Its image is attached.

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Trapezoid A B C D is shown. Sides A B and D C are parallel. Sides A D and B C are congruent. Angle B is (3 x) degrees and angle

photoshop1234 [79]

Answer: The value of x in trapezoid ABCD is 15

Step-by-step explanation: The trapezoid as described in the question has two bases which are AB and DC and these are parallel. Also it has sides AD and BC described as congruent (that is, equal in length or measurement). These descriptions makes trapezoid ABCD an isosceles trapezoid.

One of the properties of an isosceles trapezoid is that the angles on either side of the two bases are equal. Since line AD is equal to line BC, then angle D is equal to angle C. It also implies that angle A is equal to angle B.

With that bit of information we can conclude that the angles in the trapezoid are identified as 3x, 3x, 9x and 9x.

Also the sum of angles in a quadrilateral equals 360. We can now express this as follows;

3x + 3x + 9x + 9x = 360

24x = 360

Divide both sides of the equation by 24

x = 15

Therefore, in trapezoid ABCD

x = 15

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2 years ago

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Cheryl wants to find the number of hours seventh-graders do homework each week. There are 297 boys and girls in seventh grade. I

Dafna1 [17]

There are a total of 297 students in the 7th grade. Rough estimates would say that about half of that number are boys and half are girls. Asking only 50 random girls would be biased because not only would it not be all of the girls (the number of girls would be around 148 or 149) but it would also be ignoring the roughly 148 to 149 boys there are on estimate. The sample would be biased because it would be ignoring the opinions of more than half the seventh grade.

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What value is equivalent to 2 × 3 + 4 − 62? A) -26 B) -22 C) -2 D) 10

deff fn [24]

Hello from MrBillDoesMath!

Answer:

-52. None of the provided choices is correct

Discussion:

Following the usual order of math operations none of the provided answers is correct. The answer is

2*3 + 4- 62 = => * before + and -

(2*3) + 4 - 62= => 2*3 = 6

6 + 4 -62 = => 6 + 4 = 10

10 - 62 =

-52

Thank you,

MrB

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luda_lava [24]

$127 \div z$

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2 years ago

Kayleigh babysat for 11 hours this week. That was 5 fewer than 2/3 as many hours as she babysat last week, h. Write an equation

lukranit [14]

Answer: The answer is $\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Step-by-step explanation: Given that Kayleigh babysat for 11 hours the present week. Also, this was 5 less than two-third of the number of hours she babysat last week, which is represented by 'h'.

We are to write an equation to represent the number of hours she babysat each week.

So, for that, let 'x' be the number of hours she babysat this week. Then, according to the question, we can write

$\textup{x}=\dfrac{2}{3}\textup{h}-5.$

Also, it is given that

$\textup{x}=11.$

Therefore,

$11=\dfrac{2}{3}\textup{h}-5\\\\\Rightarrow \dfrac{2}{3}\textup{h}=16\\\\\Rightarrow \textup{h}=24.$

Hence, using the above relation, we can find the number oh hours Keyleigh babysat each week.

Thus, the required equation is

$\textup{x}=\dfrac{2}{3}\textup{h}-5,$

where, 'x' and 'h' are the number of hours she sat this week and last week respectively.

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