The graph of the function f(x) = –(x + 3)(x – 1) is shown below. on a coordinate plane, a parabola opens down. it goes through (negative 3, 0), has a vertex at (negative 1, 4), and goes through (1, 0). what is true about the domain and range of the function?
the domain is all real numbers less than or equal to 4, and the range is all real numbers such that –3 ≤ x ≤ 1.
the domain is all real numbers such that –3 ≤ x ≤ 1, and the range is all real numbers less than or equal to 4.
the domain is all real numbers, and the range is all real numbers less than or equal to 4.
the domain is all real numbers less than or equal to 4, and the range is all real numbers.

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)

this is a good question! i’ll do some research and what i find, i’ll contact you asap when i have something! ✊

we need to see the graph to know but

strong positive is if it is going up from left to right in a straight diagonal line (like this /)

strong negative is the same but from right to left (like this \)

weak negative is the same as strong negative but its more straight line still right to left

and weak positive is the same as strong positive but more a straight line still left to right though.