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Find the increasing functions. Then arrange the increasing functions in order from least to greatest rate of change.

Step-by-step explanation:

Increasing linear functions are equations of the form y = mx + c, where m > 0.

Therefore y = -0.5x + 0.5 is not increasing.

We have the following line slopes:

The slopes in increasing order

are 0.5, 0.75, 4/3, 1.5 and 2.5 respectively.

Hence we have the answers for the boxes starting from the bottom-up:

y = 2/5x + 10 (1st box)

y = -1/2x + 1/2 (2nd box)

y = 3/2x - 11/2 (3rd box)

y = 4/3 x - 7/3 (4th box)

y = 3/4x - 10 (5th box)

Step-by-step explanation:

distance covered by pamela in 9 l of fuel = 99km

let us apply unitary method here.

distance covered by pamela in 1 l of fuel =99/9 =11 km

now let us find distance covered by pamela if she has 12 l of fuel.

distance covered in 12 l = distance covered in 1 l of fuel * 12

we know that distance covered by here in 1 l is 11 km.

so distance covered in 12 l of fuel = 11*12 = 132 km.

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)