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aleksandr82 [10.1K]
3 years ago
15

Which of the following are examples of a function? Justify your answers.

Mathematics
1 answer:
NeTakaya3 years ago
3 0

Answer:

The assignment of U.S. citizens to Social Security numbers is an example of a function.

Step-by-step explanation:

In order to determinate if the given example is a function, you have to use the definiton of function.

A function assigns each element of the domain (one set) to exactly one element of the range (the other set).  

In the given example, the domain is the U.S. citizens and the range is the Social Security numbers. It's a function because every citizen is assigned to exactly one Social Security number.

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How many degrees does a wheel turn in one complete rotation
lara [203]

Answer:

360 degrees

Step-by-step explanation:

If a wheel turns all the way around, or one complete rotation then it is 360 degrees

4 0
3 years ago
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~ .........sʇuᴉod ǝǝɹɟ​
amm1812

Answer:

You are awesome :)

Step-by-step explanation:

Thank you!!

5 0
3 years ago
URGENT! (Grades close tomorrow and turning this in will boost my grade from a B to an A in College Algebra. I can't figure these
zvonat [6]

Answer:

  24.  see below for a drawing with axis intercepts labeled

  30.  the plane is parallel to the y-z plane. It is "x=4". The only axis intercept is (4, 0, 0).

Step-by-step explanation:

24. The axis intercepts are fairly easily found. You can do it a couple of ways.

<u>first way</u>

  • Set other variables to zero and divide by the coefficient of the variable of interest.

For 3x +5y +15z = 15, the x-intercept can be found by setting y and z to zero. This gives ...

  3x = 15

so, dividing by 3 tells you the x-intercept is ...

  x = 15/3 = 5

Likewise, the y- and z-intercepts are, respectively, ...

  y = 15/5 = 3

  z = 15/15 = 1

So, the points where the plane crosses the axes are ...

  (5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . axes intercepts

__

<u>second way</u>

  • Divide by the constant on the right, and express all coefficients as denominators

Doing that gives ...

\dfrac{3x+5y+15z}{15}=1\\\\\dfrac{x}{5}+\dfrac{y}{3}+\dfrac{z}{1}=1

The denominators are the corresponding intercepts. (This is called the "intercept form" of the equation of the plane.)

From the above equation, we see the axis intercepts are ...

  (5, 0, 0), (0, 3, 0), (0, 0, 1) . . . . same as above

Actually, the math for these two methods is virtually identical. The second way does it "all at once", so can take fewer steps. Effectively, you're doing the math of the "first way" and expressing the result in the denominator.

__

Please note that when a variable is missing, there is no intercept for that axis. That is, the plane is parallel to that axis. (In problem 30, for example, the y- and z-variables are missing. The plane x=4 is parallel to the y- and z-axes (the y-z plane).)

_____

In the first attached drawing, the x-axis is red, the y-axis is green, and the z-axis is blue. The labeling of the points is difficult to see, but the axes are a different (lighter) color behind the plane than in front of it. This plane forms a triangle in the first octant (x, y, z > 0).

In the second attached drawing, the x=0 plane is blue; the y=0 plane is green, and the z=0 plane is red. The plane of the equation is yellow. This figure better shows the triangle in the first octant.

3-D graph paper (isometric graph paper) grids are available with a web search. Such might make it easier to draw the planes you need to draw. (See the third attachment for one example.)

3 0
3 years ago
5) After paying $6.65 for a pizza, Alberto has
Sonja [21]

Answer:

$30.31

Step-by-step explanation:

In order to find the answer, you would need to add $23.66 plus $6.65.

Hope this helps and pls do mark me brainliest if you can:)

4 0
3 years ago
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Every rational number is a
nordsb [41]

<em>Greetings from Brasil...</em>

a - whole number

FALSE

3/5, for example isnt a whole number

b. natural number

FALSE

0,457888..., for example isnt a natural number

c. integer

FALSE - like a

d. real number

TRUE

The set of real numbers contains the set of rational numbers

ℝ ⊃ ℚ

8 0
3 years ago
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