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dalvyx [7]
3 years ago
15

For each function, do the following: a) state the name of the function, b) identify the independent and dependent variable, c) i

dentify the rule that assigns exactly one output to the very input, and d) evaluate the function for the given input value.

Mathematics
1 answer:
daser333 [38]3 years ago
8 0
<h2>Hello</h2>

The answers are:

a) The name of the function is g, and it's an Exponential Function.

b) Independent variable : x , dependent variable : g(x)/y

c) The rule that assigns exactly one output to the very input is called "function".

d) g(4)=2^{4}+12=16+12=28

<h2>Why?</h2>

Usually, the name of a function (g(x)) is given by letter that is out of the parentheses. For this exercise,  the name of the function is "g", and it's an Exponential Function.

The independent variable of a function is the variable we assign the different values. For this exercise, the independent variable is designated with the letter "x".

The dependent variable is the function itself (g(x)), it's also called "y",  and it's called "dependent" variable because its values will always depend on the "independent variable".

A function is the rule that states that there is exactly one output (range value) to the each input (domain value).  A function only exists when there is exactly one output value (range) for each input (domain), if there is more than one output for each input, the function does not exist.

To evaluate a function we need to assign values to the independent variable(x), therefore:

g(4)=2^{4}+12=16+12=28

Have a nice day!

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Answer:

1/9

Step-by-step explanation:

That's bc there are 9 possible outcomes 0,1,2,3,4,5,6,7,8,

so say an out come is 4, out of 9 chances it was 4 so there is a 1/9 of getting 4

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3 years ago
Trisha and Byron are washing and vacuuming cars to raise money for a class trip. Trisha raised $38 washington 5 cars and vacuumi
ANEK [815]

Answer:

They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

Step-by-step explanation:

Let the charge of washing a car be 'x'.

And also let the charge of vacuuming a car be 'y'.

Now according to question, Trisha raised $38 washing 5 cars and vacuuming 4 cars.

So framing the above sentence in equation form, we get;

5x+4y=38\ \ \ \ \ equation\ 1

Again according to question, Byron raises $28 by washing 4 cars and vacuuming 2 cars.

So framing the above sentence in equation form, we get;

4x+2y=28\ \ \ \ \ equation\2

Now multiplying equation 2 by '2', we get;

2(4x+2y)=28\times2\\\\8x+4y=56\ \ \ \ equation\ 3

Now we subtract equation 1 from equation 3 and get;

(8x+4y)-(5x+4y)=56-38\\\\8x+4y-5x-4y=18\\\\3x=18\\\\x=\frac{18}{3}=6

Now substituting the value of 'x' in equation 1, we get;

5x+4y=38\\\\5\times6+4y=38\\\\30+4y=38\\\\4y=38-30=8\\\\y=\frac{8}{4}=2

Hence They charged <u>$6</u> for washing and <u>$2</u> for vacuuming the car.

8 0
3 years ago
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RSB [31]
*Answer:*
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*step-by-step solution*

5 0
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The solution of |x-2|&gt;5
zzz [600]

Answer:

Step-by-step explanation:

|x-2|>5

x-2<-5

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or x-2>5

x>7

5 0
3 years ago
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