Function g(x) = 2x2-8

Confusing.

If it's f(x) is 2 times 2 minus 8, it's a horizontal line at y-4.

If it's f(x) is 2x 2-8

It's handy to use a graphing calculator.

Step-by-step explanation:

Be sure to clarify what the equation means

Thanks to Desmos for the graphs.

As you can see, the numbers could represent a lot of different things-- especially when 'x' can be a variable -- or confused with the multiplication sign.

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)