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3 years ago

Which of the following is the graph of a function?

Mathematics

1 answer:

Zigmanuir [339]3 years ago

6 0

Answer:

Step-by-step explanation:

Each domain value (x-value) of a function has exactly one range value (y-value).

A function can have two or more domain (x-value) having the same range (y-value)

Graph A shows the different domain value (x-values) having exactly one range value (y-value). No x-value has two different y-values.

Therefore, graph A is a function.

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A spotlight on the ground shines on a wall 12 m away. If a man 2 m tall walks along the x-axis from the spotlight toward the bui

tester [92]

Answer:

(dy/dt) = - 0.45 m/s (the minus sign indicates that the height of the shadow decreases as the man moves towards the wall).

Step-by-step explanation:

An image of the problem is presented in the attached file to this solution. The image shows the exact moment when the 2m tall man is 4m away from the wall.

First of, when the man is 4m away from the wall, he is 8m away from the spotlight, that is, x = 8m

Using the concept of similar triangles, we can obtain the value of y at this point.

(x/2) = [(x+4)/y]

x = 8

(8/2) = (12/y)

y = 3m when x = 8m

From the image,

But generally, for x and y at any point,

(x/2) = (12/y)

xy = 24

Differentiating with respect to t

(d/dt)(xy) = (d/dt)12

y (dx/dt) + x (dy/dt) = 0

x (dy/dt) = - y (dx/dt)

At x = 8m, y = 3m, (dx/dt) = 1.2 m/s

8 (dy/dt) = - 3 (1.2)

(dy/dt) = - 3.6/8 = - 0.45 m/s

The minus sign indicates that the height of the shadow decreases as the man moves towards the wall.

7 0

3 years ago

Write 0.342 as a fraction, reduced to lowest terms.

Mrrafil [7]

, 342/1000 = 171/500.

6 0

3 years ago

Graph the line with slope -2 passing through the point (1,-4)

lorasvet [3.4K]

the equation for the line is:

y = -2( x + 1 )

4 0

3 years ago

he production of pipes has a mean diameter of 3.25 inches and a standard deviation of .15 inches. The shape of the distribution

o-na [289]

Answer:

The probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

Step-by-step explanation:

$Mean = \mu = 3.25 inches$

Standard deviation = $\sigma = 0.15 inches$

We are supposed to determine the probability that a randomly chosen part has diameter of 3.5 inches or more

$P(Z \geq 3.5)=1-P(z$

Refer the z table for p value

$P(Z \geq 3.5)=1-0.0475\\P(Z \geq 3.5)=0.9525$

Hence the probability that a randomly chosen part has diameter of 3.5 inches or more is 0.9525

7 0

3 years ago

С 5 ө А: 15 B Nearest tenth

lubasha [3.4K]

Step-by-step explanation:

try 5 hope this helped you

5 0

2 years ago