Does this graph represent a function ? why or why not ? A. Yes, because it is a curved line .

B. No, because it fails the vertical line test .

C. Yes, because it passes the vertical line test .

D. No, because it is not a straight line .

answer : C

C) Yes, because it passes the vertical line test.

Step-by-step explanation:

A linear function is represented a a straight line because of its constant rate. But any other function could be curved because it does not have to increase nor decrease and certain amount.

In order for a relation to be a function, it can have different y values but it cannot repeat x values. This line passes the vertical line test. Because it is travelling horizontally it does not repeat any x values. If the line was travelling vertical it would repeat x values.

step-by-step explanation:

descending order means to order the polynomials from the term with the largest exponent to the term with the smallest exponent.  

therefore, the correct answer is d.  

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)