Select the correct answer from each drop-down menu.

the graph represents the piecewise function
f(x) = { a (-x^2, b 2x^2, c (x/2)^2, d x^2), if (a x is less than 2, b x is greater than 2, c x is less than or equal to 2, d x is greater than or equal to 2); (a -5, b -5/2, c 4, d 5), if (a 2 is less than x and x is less than 4, b 2 is less than or equal to x and x is less than or equal to 4, c 2 is less than or equal to x and x is less than 4, d 2 is less than x and x is less than or equal to 4)}.

b. astronomers

answer: your correct answer is b. d.

step-by-step explanation:

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)