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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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A triangle has side lengths of (1.3k+3.5m)(1.3k+3.5m) centimeters, (4.1k-1.6n)(4.1k−1.6n) centimeters, and (9.7n+4.4m)(9.7n+4.4m

Scorpion4ik [409]

Answer:

(5.4k+7.9m+8.1n) centimeters

Step-by-step explanation:

Given the side length of a triangle;

S1 = (1.3k+3.5m) cm

S2 = (4.1k-1.6n) cm

S3 = (9.7n+4.4m) cm

Perimeter of the triangle = S1+S2 + S3

Perimeter of the triangle = (1.3k+3.5m) + (4.1k-1.6n) + (9.7n+4.4m)

Collect the like terms;

Perimeter of the triangle = 1.3k+4.1k+3.5m+4.4m-1.6n+9.7n

Perimeter of the triangle = 5.4k+7.9m+8.1n

Hence the expression that represents the perimeter of the triangle is (5.4k+7.9m+8.1n) centimeters

5 0

2 years ago

A barber shop produces 96 haircuts a day. each barber in the shop works 8 hours per day and produces the same number of haircuts

Finger [1]

We know that
A barber shop produces 96 haircuts a day----------> 8 hours per day
so
96/8--------> 12 haircuts per hour

if if the shop's productivity is 2 haircuts per hour of labor
then
12/2---------> 6 barbers

the answer is
6 barbers

7 0

2 years ago

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week. With a full tank

timama [110]

Answer:

50 miles.

Step-by-step explanation:

Edmund fills his gas tank on Monday morning an then drives ten miles total for work each day of the work week.

With a full tank of gas he can drive 100 miles.

Question asked:

How many miles can he drive on the weekend, before he he fills up again?

Solution:

With full tank he can drive a total distance = 100 miles

Each day of the work week, he drives = 10 miles

Total miles, he drive in whole work week (Monday - Friday) = $10\times5=50\ miles$

Now, to find that many miles he can drive on the weekend (Saturday and Sunday), we will subtract total miles, he drive in whole work week from the total distance, he can drive with full tank of gas:-

100 - 50 = 50 miles.

Therefore, he can drive 50 miles on the weekend, before he he fills up again.

4 0

2 years ago

If the test scores of a class of 35 students have a mean of 74.3 and the test scores of another class of 28 students have a mean

STALIN [3.7K]

Let the total sum of the scores of the first class of 35 students be a. The mean is 74.3 .

So
$\frac{a}{35}=74.3\\\\a=35\cdot74.3= 2600.5$

Also, let the total sum of the scores of the second class of 28 students be b. The mean is 67.6 .

so
$\frac{b}{28}=67.6\\\\ b=28\cdot67.6= 1892.8$

The combined group has 35+28=63 students. The sum of their scores is

a+b=2600.5+1892.8=4493.3

Thus, the mean of the combined group is $\frac{4493.3}{63}= 71.32$

6 0

2 years ago

The meat department of a supermarket sells ground beef in approximate 1 lb packages, but there is some variability. A random sam

grin007 [14]

Answer:

1.05 ± 0.05 lbs

Step-by-step explanation:

Hi!

We can calculate this interval with the z-score of the 90% which is (by convention) 1.645

The interval is calculated as follows:

$x_m \pm 1.654(\frac{\sigma}{\sqrt n})$

where x_m is the mean, σ the standar deviation and n is the number of samples:

replacing these values we get:

$1.05 \pm (1.645 \times \frac{0.23}{\sqrt 65})\\1.05 \pm 0.046$

*rounded to the first decimal*

1.05 ± 0.05

6 0

2 years ago