The solutions to the equation are
-2
2 - √10
2 + √10
8.2
Hello from MrBillDoesMath!
Answer:
The first marker is labeled 208708; the second (consecutive) one 208709
Discussion:
Call the first mile marker "m". Then
m + (m+1) = 417417 => combine like terms
2m + 1 = 417417 => subtract 1 from both sides
2m = 417416 => divide both sides by 2
m = 417416/2 = 208708
Note: m and (m+1) are consecutive as they immediately follow each other in the set of integers.
Thank you,
MrB
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
Expanded form is just each place value split into addition.
so 1,852 is
1000 + 800 + 50 + 2
that's all
