What values of x make up f(x)=3x+1 equal to g(x)=3^x+1? 0, 1, 2, 3 select all that apply

Let us plug-in the values of x to know

> x = 0

f(0) = 3(0) + 1 = 1

g(0) = 3^0 + 1 = 2

> x = 1

f(1) = 3(1) + 1 = 4

g(1) = 3^1 + 1 = 4

> x = 2

f(2) = 3(2) + 1 = 7

g(2) = 3^2 + 1 = 10

> x = 3

f(3) = 3(3) + 1 = 10

g(2) = 3^3 + 1 = 28

Therefore the only answer is:

1

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)