Arrange the equations in increasing order of the value of their solutions. 1/4x + 5/2x - 2 = 4 - 1/4x
7.9x + x + 4 = 1.1x - 16
3.2x + 5.7 = -2.5x
10.1x - 1.6x + 44 = -7

The answer is below

Step-by-step explanation:

a)

1/4x + 5/2x - 2 = 4 - 1/4x

collecting like terms:

(1/4)x + (5/2)x + (1/4)x = 4 + 2

3x = 6

x = 6/3

x = 2

b)

7.9x + x + 4 = -1.1x - 16

collecting like terms:

7.9x + x + 1.1x  = - 16 - 4

10x = -20

x = -2

c)

3.2x + 5.7 = -2.5x

collecting like terms:

3.2x + 2.5x = 5.7

5.7x = 5.7

x = 1

d)

10.1x - 1.6x + 44 = -7

collecting like terms:

10.1x - 1.6x = -7 - 44

8.5x = -51

x = -6

Hence the equations in increasing order of the value of their solutions is:

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

10.1x - 1.6x + 44 = -7

7.9x + x + 4 = -1.1x - 16

3.2x + 5.7 = -2.5x

1/4x + 5/2x - 2 = 4 - 1/4x

Step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)

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