we used these functions to represent the two sides of the equation:
f(x) = 3x
g(x) = 4x + 1
graph the functions y = f(x) and y = g(x) on the same coordinate plane.
at which points are the functions y = f(x) and y = g(x) equal? what are the x-values of the solution?
how many solutions are there to the equation f(x) = g(x)? how do you know these are solutions?

1. They are met on point (-1, -3)

2. They x- values of the solution is... -1

3. There is only one solution. Proof: The slope and the y intercept is different.

4. If you plug in -1 in the x, you get the same y

Explanation:

3x = 4x +1

0 = x +1

-1 = x

plug in... y = 3(-1) = -3

step-by-step explanation:

where is the questions

d

step-by-step explanation:

hello and welcome!

so, when we see the words "proportional" along with a table, we need to know that we're looking numbers that divide by the same thing.

looking at this table, we simply have to do a trial and error, and divide to see which numbers have the same quotient. if you look at choice a & c, they both have equal quotients for three of the numbers, with one exception, so those can't be the answer. looking at b, there is no similarity, so that can't be it. then, we see d; if you divide all the numbers in the table, you'll see that they all divide by two, which is a proportional relationship, and our answer!

also, always remember that the x will always be the number that goes into y, and somewhere behind this table, is a formula. for this specific table, the formula would be:

since our x-value is being divided by two to get the y-value. and if they were to ask for more numbers in the series, this is the formula you would use to find them.