This table models function m.

A: The y-intercept of function m is less than that of function n.

Step-by-step explanation:

From the table, we see that when x = 0, m(x) = -6.

This means that the y-intercept of function m is -6.

For the function "n", we are told it passes through (-1, 0) and (0, 2)

We see that at the second coordinate, at x = 0, y = 2.

This means that the y-intercept of the n function is at 2.

Therefore,we conclude that the y-intercept of function m is less than that of function n.

3 3 6, because in every triangle the longer side is always shorter than the sum of the other two

delaney would like to make a 5lb nut mixture that is 60% peanuts and 40% almonds.

she has several pounds of peanuts and several pounds of a mixture that is 20% peanuts and 80% almonds.

let 'p' represent the number of pounds of peanuts needed to make the new mixture, and  

let 'm' represent the number of pounds of the 80% almond-20% peanut mixture.

:

p + m = 5

therefore

m = (5-p)

write an equation based on the percent of peanuts

1p + .2m = .6(5)

replace m with (5-p)

p + .2(5-p) = .6(5)

p + 1 - .2p = 3

p - .2p = 3 - 1

.8p = 2

p = 2/.8

p = 2.5 lbs of peanuts required

then

5 - 2.5 = 2.5 lbs of the peanut/almond mixture required

:

a) what is the system that models this situation?

p + m = 5

1p + .2m = .6(5)