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3 years ago

What is the difference between a linear and non linear function?

2 answers:

7 0

A linear function is any function that graphs to a straight line. What this means mathematically is that the function has either one or two variables with no exponents or powers. If the function has more variables, the variables must be constants or known variables for the function to remain a linear function.

The easiest way to define a nonlinear function is as a function that is not a linear function. ... Graphically, a linear function is a function whose graph is a line. Algebraically, a linear function can be defined as a polynomial with highest exponent equal to 1 or a horizontal line (y = c where c is a constant).

timurjin [86]3 years ago

4 0

A linear equation is the mathematical representation of a relationship that can be visualized, or graphed, as a straight line. A general function is a representation of a relationship between two or more pairs that can result in any type of line when graphed out.

You might be interested in

7. Cell phone plan A costs $30 per month for unlimited calling plus $0.25 per GB of data. Cell phone plan B

Lesechka [4]

Answer:

Part a) The linear model that represents the monthly cost of each plan is

Plan A

$y=0.25g+30$

Plan B

$y=0.15g+40$

Part b) The plans cost the same for 100 GB of data

Step-by-step explanation:

Part a) Write a linear model that represents the monthly cost of each plan if the customer uses g GB of data

Let

g -----> the GB of data

y -----> the monthly cost

we know that

The linear equation that represent each plan is equal to

Plan A

$y=0.25g+30$ ----> equation A

Plan B

$y=0.15g+40$ ----> equation B

Part b) After how many GB of data will the plans cost the same?

Equate equation A and equation B and solve for g

$0.25g+30=0.15g+40$

$0.25g-0.15g=40-30$

$0.10g=10$

$g=100\ GB$

therefore

The plans cost the same for 100 GB of data

7 0

4 years ago

B) If you were to roll the dice 100 times, how often would you expect to get doubles?

Novosadov [1.4K]

If you're rolling a single cube, then ...

-- There are 6 possible out comes.

-- One of them (5) is a multiple of 5 .

-- The probability of rolling it is (1/6) = 16-2/3 % .

If everything is acting perfectly random, then ion 100 rolls,

you'd expect to succeed 16 or 17 times.

If you're rolling a pair of cubes, then ...

-- There are (6 x 6) = 36 possible outcomes.

-- There are seven ways to get a multiple of 5.

(1+4), (4+1), (2+3), (3+2), (4+6), (6+4), (5+5)

-- The probability of rolling one of those is

(7/36) = 19-4/9 % .

If everything is acting perfectly random, then in 100 rolls,

you'd expect to succeed 19 or 20 times.

6 0

3 years ago

LaTesha and Bernard are playing a game. Their scores for five games are shown in the table below. LaTesha’s and Bernard’s Scores

andre [41]

Answer:

The means differ by 1, but the ranges differ by 40.

Step-by-step explanation:

The mean for LaTesha's score is (92+45+67+36+80)/5= 64

The mean for Benards score is (63+68+62+69+53)/5= 63

The range for LaTeshas score is 92-36=56

The range for Benards score is 69-53=16

So, 64-63=1 and 56-16= 40

6 0

4 years ago

Simplify 12x^7y^4/6x^2y^5

vivado [14]

Answer:

2x⁵/y

Step-by-step explanation:

divide 12/6 to get 2

7-2=5

6 0

3 years ago

A function is expressed by the formula y = 2x + 7. Find the value of y if x is equal to 1; -20; 43.

rosijanka [135]

Answer:

when x = 1 then y = 9

when x = -20 then y = -33

when x = 43 then y = 93

Step-by-step explanation:

Just replace the given values of x ( which are 1 , -20 , 43 ) in the function

3 0

3 years ago