Translating this word problem into an algebraic equation, we get:
3x - 2/5 = 8/5.
Let's combine the constants: adding 2/5 to both sides of this equation yields
3x = 10/5, or 3x = 2.
Solving for x: x = 2/3
Answer:
The price for a small glass of milk is $0.95, and the price for a breakfast taco is $1.15.
Step-by-step explanation:
Let the price of a taco be x and the price for a small glass of milk be y.
Multiply the first equation by 2:
Subtract the new third equation from the second equation:
Hence, the price for a small glass of milk is $0.95.
Substitute y into the first equation.
Therefore, the price for a breakfast taco is $1.15.
Hope this helped!
F(x)=2x+4/3
Replace f(x) by y:
y=2x+4/3
Solving for x:
y-4/3=2x+4/3-4/3
Subtracting the two terms on the left side of the equation:
(3y-4)/3=2x
Dividing both sides of the equation by 2:
[(3y-4)/3]/2=2x/2
[(3y-4)/3]*(1/2)=x
[(3y-4)*1]/[(3)*(2)]=x
(3y-4)/6=x
x=(3y-4)/6
Replace "x" by "f^(-1) (x)" (inverse function) and "y" by "x":
f^(-1) (x) = (3x-4)/6 Inverse function
Then, for x=6
f^(-1) (6) = [ 3(6)-4]/6
f^(-1) (6) = (18-4)/6
f^(-1) (6)= 14/6
f^(-1) (6) = 7/3
Her hair will have grown 6 after 7/3 = 2.33 months
Answer: (x+1)^2=12(y-2)
Step-by-step explanation:
