The values in the table below represent function b, which is a linear function.
function l is represented by the equation y = 6x + 4. compare functions b and l by determining which one has the greater rate of change and which one has a greater y-intercept. explain why your answers are correct.

The rate of change is expressed as the ratio between a change in one variable relative to a corresponding change in another. On the other hand, a linear function is given as the form:

And is the rate of change we are looking for. For Function B we have a Table and the slope can be found by choosing two points, therefore:

As you can see has a rate of change of 6 while the function of the table has a rate of change of 3.

In conclusion, has the greater rate of change

We need to get the equation that rules the points given on the table. Two-Point Form of the Equation of a Line is:

As you can see has a y-intercept of while the function of the table has a y-intercept of

In conclusion, also has the greater y-intercept

hey! so 1 (25) out of 4 (100) is 25 so your answer is 25%. it's like quarters!

(b) 240

step-by-step explanation:

first, we use the pythagorean formula using the given side lengths to find x. then we use x to find the side lengths. then we add the side lengths to find the perimeter.

pythagorean theorem formula:

a^2 + b^2 = c^2

(x - 20)^2 + (x - 40)^2 = x^2

x^2 - 40x + 400 + x^2 - 80x + 1600 = x^2

x^2 -120x + 2000 = 0

(x - 100)(x - 20) = 0

x - 100 = 0 or x - 20 = 0

x = 100 or x = 20

we see that the solution x = 20 must be discarded because it will give a negative side length and a side length of 0. the only valid solution is x = 100.

perimeter = sum of the lengths of the sides

perimeter = x + x - 20 + x - 40

perimeter = 3x - 60

replace x with 100.

perimeter = 3(100) - 60

perimeter = 300 - 60

perimeter = 240