Which of the following statements is true about the functions f(x)=5x+15 and g(x)=175x-3?
A. f(5) = g(5) because f(x) and g(x) are inverse functions.
B. f(-5) = g(5) because f(x) and g(x) are inverse functions.
C. f(x) and g(x) are inverse functions because f(x) and g(x) have the same domain.
D. f(x) and g(x) are inverse functions because f. g = x and g - f = x.

f(x) has value 150 at x= 0

and 0 at x= 3

so d(f(x))/dt = slope = -150/3 = -50

current in the circuit at time t is /, then the power delivered to the resistor is

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)