What is the value of h in the translation of the given function? describe the phase shift (use a phrase like 3 units to the left). g(x) = f(x +6) a- h = 6; the phase shift is 6 units to the right. b- h = 6; the phase shift is 6 units to the left. c- h = 6; the phase shift is 6 units up. d- = -6; the phase shift is -6 units to the left.

option:B

Step-by-step explanation:

We know that for any given function f(x) the transformation of the type f(x+h) is a shift of the function either right or left. if this h<0 then the shift is a right shift;and if this h>0 then the shift is a left shift by h-units.

here we are given that g(x)=f(x+6)

so, here h=6>0, hence the shift is a left shift by 6 units.

Hence, option B is correct.  

5 pm

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)