Answer:
f^-1(-32)=6
Step-by-step explanation:
<u>Find the inverse of the function f(x)=4-6x:</u>
f(x)=4-6x
y=4-6x
x=4-6y
x-4=-6y
(x-4)/-6=y
-1/6x+2/3=y
y=-1/6x+2/3
f^-1(x)=-1/6x+2/3
<u>Plug in f^-1(-32) for f^-1(x) and simplify:</u>
f^-1(-32)=-1/6(-32)+2/3
f^-1(-32)=16/3+2/3
f^-1(-32)=18/3
f^-1(-32)=6
2y=29+3
2y=32
Y=32/2
Y=16
Hope that is right
Answer:
x-12
Step-by-step explanation:
(x+12)*(x-12)
x*x=x²
12x-12x=0
12*-12=-144
Answer:
9m^2n^3
Step-by-step explanation:
∛729m^6n^9
= ∛(9m^2n^3)^3
= 9m^2n^3
Answer:
added cement = 200 kg
Step-by-step explanation:
Sand = 0.8*1400
Sand = 1120 kg
If 1120 kg of sand represents the total sand in the 8:2 mixture.
We have to create the equation of the 7:3 mixture as follows.
The sand amount continues the same but the total amount of the mixture and cement will change.
0.7*mixture_mass + 0.3*mixture_mass = mixture_mass
By replacing values, we have:
1120 kg + 0.3*(1400 kg + added cement)= 1400 kg + added cement
added cement = 200kg
