James wants to compete in the international speed texting competition next year where participants compete on text speed and accuracy. james’s current text speed is 2 characters per second. james has found that his texting speed increases at a rate of 1⁄2 a character per second for each month that he practices.
1. a. what is james’s new texting speed if he practices for only 1 month?
b. what is james’s new texting speed if he practices for 2 months?
c. what is his new texting speed if he practices for 3 months?
d. write an algebraic equation that gives james’s texting speed s for m months of
practice.

A: His texting speed after one month of practice would be 2 1/2 characters per second. (2 + 1/2)

B: His texting speed after two months of practice would be 3 characters per second. (2 1/2 + 1/2)

C: His texting speed after three months of practice would be 3 1/2 characters per second. 3 + 1/2)

D: Algebraic Expression: s = 1/2m + 2

it's

x =±sqrt(1/3)

step-by-step explanation:

x+4/6x=1/x

multiply each side by 6x to get rid of the fractions

6x*(x+4/6x)=1/x*6x

distribute

6x^2 +4 = 6

subtract 4 from each side

6x^2 +4-4 = 6-4

6x^2 =2

divide by 6

6x^2/6 = 2/6

x^2 = 1/3

take the square root of each side

sqrt(x^2) = ±sqrt(1/3)

x =±sqrt(1/3)