Write the recurring decimal 0.473737373... as a fraction.
1 answer:
Answer:
Step-by-step explanation:
We require 2 equations with the repeating digits after the decimal point.
By subtracting the 2 equations eliminates the repeating digits.
let x = 0.47373737.....
Multiply both sides by 100 and 10000, that is
100x = 47.3737... → (1)
10000x = 4737.3737.... → (2)
Subtract (1) from (2)
9900x = 4690 ( divide both sides by 9900 )
x = =
← in simplest form
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Answer:
linear and y = 2x + 19
Step-by-step explanation:
the x- values increment by 2 and the values of y increment by 4
This indicates a linear relationship exists in the form
y = mx + c ( m is the slope and c the y-intercept )
m = =
= 2
y = 2x + c ← is the partial equation
to find c use any ordered pair from the table
using (- 5, 9 ), then
9 = - 10 + c ⇒ c = 9 + 10 = 19
y = 2x + 19 ← linear equation
As a check
x = - 7 : y = - 14 + 19 = 5 ← correct value of y
x = - 5 : y = - 10 + 19 = 9 ← correct value of y
x = - 3 : y = - 6 + 19 = 13 ← correct value of y
x = - 1 : y = - 2 + 19 = 17 ← correct value of y