Answer:
(5, -2)
Step-by-step explanation:
In the coordinates (7, -5), 7 is the x-coordinate and -5 is the y-coordinate.
The transformation, (x-2 y+3), states that the x-coordinate, 7, must be subtracted by 2.
When subtracted by two, (7 - 2), the difference is 5.
The transformation, (x-2 y+3), states that the y-coordinate must be increased by 3.
When added by 3, (-5 + 3), the sum is -2.
Therefore, the new coordinates are (5, -2).
Answer D, 1/64
The denominator has a pattern , if you look through it carefully each denominator is multiply by 2. There for you multiply 32 x 2 which gives you 64 so it’s 1/64. If you wanna confirm it , you could use a calculator to check your answer.
Answer:
(4,7)
Step-by-step explanation:
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