The graph below shows the total cost for lunch, c, when will and his friends buy a large salad to share and several slices of pizza, p. for each additional slice of pizza that is purchased, by how much does the total cost of lunch increase? $

2.50 dollars.

Step-by-step explanation:

Given:

Will and his friends buy a large salad to share and several slices of pizza, p.

The graph given shows the total cost for lunch, c and slices of pizza,p.

p is marked horizontally, and c vertically.

Observing the points marked we find that for every increase of one slice of pizza, the cost i.e. c on vertical line increases by 0.50 times vertical grid.

Since each grid equals 5 dollars vertically, we find 1/2 grid increase is equal to increase of 1/2(5 ) =2.50 dollars.

Thus for increase of one slice of pizza, 2.50 dollars cost is increased.

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)