Question

could someone please explain to me linear functions??

Answer 1

It is an equation where one variable (y) is related to the first power of a second variable (x).

for example the following are linear functions:
y=x
y=5x
y=5x-9
y=-5x+9

The following are NOT linear:
y=x^2
y=7x^3+4
y=squareroot(x)

The graph of a linear function will look like a line, where the others will be some form of a curve, parabola, etc.

Answer 2

ok thank you so much. so whenever i got a power it is not linear? did i understand that right?? or if i got a square root??

Answer 3

A linear function is non-complex and will not have square roots or powers because a linear function is a function whose graph is a straight line.

The line can't be vertical, since then we wouldn't have a function, but any other sort of straight line is fine.

Answer 4

Do you understand now?

Answer 5

i don't really get it. im sorry but im really slow in algebra


these are the problems i have to do:

A company produces accessories for smart phones and tablets. The profit on each smart phone case is $2, and the profit on each tablet case is $3. The company made a profit of $1,200 on the cases last month. The equation 2x + 3y = 1,200 represents the company's profit from cases last month, where x is the number of smart phone cases sold and y is the number of tablet cases sold.
1.Change the equation into slope-intercept form. Identify the slope and y-intercept of the equation. Be sure to show all of your work.
2.Describe how you would graph this line using the slope-intercept method. Be sure to write in complete sentences.
3.Write the equation in function notation. Explain what the graph of the function represents. Be sure to use complete sentences.
4.Graph the function using one of the following two options below. On the graph, make sure to label the intercepts. •You may graph your equation by hand on a piece of paper and scan your work.
•You may graph your equation using graphic technology that can be found in the Course Information area.

5.Suppose in the next month, the total profit on smart phone cases and tablet cases is $1,500. The profit amounts are the same, $2 for smart phone case and $3 for the tablet case. In a paragraph of at least three sentences, explain how the graphs of the functions for the two months are the same and how they are different. Be sure to use complete sentences.
6.Below is a graph that represents the total profits for a third month. Write the equation of the line that represents this graph. Show your work or explain how you determined the equations.


graph of line going through ordered pairs (0, 300) and (450, 0)


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Answer 6

i know the slope intercept form is mx+b but idrk what to do

Answer 7

#1.)

2x + 3y = 1200
2x-1200=-3y
1/3*(2x-1200)=1/3*-3y
2/3x-400=-y
-2/3x+400=y

Answer 8

thank you??

Answer 9

The second one you would need to find the slope intercept which was given above, -2/3...

#2.)
I would put a dot on (0,400) then I would use the slope to do the rest or go 2 points to the right and 3 to the down. After this it should look like 3,398.

I would try putting that in your own words if I were you

Answer 10

#3.)
F(x) = 2x + 1200

Answer 11

sorry i will skip the graph hopefully you can do it by yourself or have someone else help you with that? i will help you with the rest though

Answer 12

#5.)
2x + 3y = 1500
-3y = 2x – 1500
1/3* -3y = (2x – 1500)*1/3
-2/3x + 500 = y

Answer 13

#6.)
F(x)=mx + b
F(x) = mx + 300
F(x) = 6/9x + 300
F(x) = 2/3x + 300

Answer 14

there and that should be all excluding the graphs ..

Answer 15

omg thank you soooooooooooo much!!!!

Answer 16

Anytime! A pleasure to help you