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3 years ago

Does the graph represent a function? Khan Academy

Mathematics

2 answers:

Ierofanga [76]3 years ago

7 0

Answer:

yes

Step-by-step explanation:

try using a vertical line, if you move the vertical line across the graph and the line touches the graph only at one point, than it means it is a function

serg [7]3 years ago

6 0

Answer:

This graph represents a function

Step-by-step explanation:

By its definition, a function is a relation or a correlation between two sets (groups) of values where every input corresponds to only one output. What this means is that every input in a function can only have one output. This characteristic results in a unique property in the graph of a function, that is, the verticle line test. The verticle line test states that when one draws a line through the graph of a function, the line can only intersect the graph in exactly one place in the function. If the line intersects the graph in more than one place, then the graph does not represent a function. In the given situation, any verticle line drawn on the graph only intersects the graph in one place, thus the graph represents a function.

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Find the slope of the line through P(5.7) and Q(-1,7).

VARVARA [1.3K]

We can use the points given to solve for the slope.

Slope formula: y2-y1/x2-x1

7-7/-1-5

0/-6

Since the numerator is 0, the slope is 0.

Best of Luck!

8 0

3 years ago

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the seco

34kurt

Two numbers that gives twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90 are -10 and 4

Given :

Twice the sum of a number and 3 times a second number is 4. The difference of ten times the second number and five times the first is 90.

Let a and b be the two unknown numbers

Lets frame equation using the given statements

Twice the sum of a number and 3 times a second number is 4.

$2(a+3b)=4\\a+3b=2$

the difference of ten times the second number and five times the first is 90

$10b -5a=90\\Divide \; by \;5 \\2b-a=18$

Now use these two equations to solve a and b

$a+3b=2\\-a+2b=18$

Add both the equations

$a+3b=2\\-a+2b=18\\--------------------------\\5b=20\\b=4$

Now find out 'a'

$a+3b=2\\a+3(4)=2\\a+12=2\\a=2-12\\a=-10$

The two numbers are -10 and 4

Learn more : brainly.com/question/13856304

4 0

3 years ago

The radii of Earth and Pluto are 6,371 kilometers and 1,161 kilometers, respectively. Approximately how many spheres the size of

antoniya [11.8K]

The volume of a sphere is (4/3) (pi) (radius cubed).

The volume of one sphere divided by the volume of another one is

(4/3) (pi) (radius-A)³ / (4/3) (pi) (radius-B)³

Divide top and bottom by (4/3) (pi) and you have (radius-A)³ / (radius-B)³
and that's exactly the same as
( radius-A / radius-B ) cubed.

I went through all of that to show you that the ratio of the volumes of two spheres
is the cube of the ratio of their radii.

Earth radius = 6,371 km
Pluto radius = 1,161 km

Ratio of their radii = (6,371 km) / (1,161 km)

Ratio of their volumes = ( 6,371 / 1,161 ) cubed = about <u>165.2</u>

Note:
I don't like the language of the question where it asks "How many spheres...".
This seems to be asking how many solid cue balls the size of Pluto could be
packed into a shell the size of the Earth, and that's not a simple solution.
The solution I have here is simply the ratio of volumes ... how many Plutos
can fit into a hollow Earth if the Plutos are melted and poured into the shell.
That's a different question, and a lot easier than dealing with solid cue balls.

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3 years ago

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Leni [432]

Answer:

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