GIVEN 2x + 30= -4(5x-2) PROVE: x= -1, give the reasons too (addition property, transitive, etc.)

Given :-

To Find :-

Solution :-

∴ The value of x is - 1

Verification :-

We have,

2x + 30 = - 4(5x - 2)

Substituting the value of x,

2(- 1) + 30 = - 4{5(- 1) - 2}

- 2 + 30 = - 4 (- 5 - 2)

28 = - 4(- 7)

28 = 28

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Step by step expontion

First locate the turning point (vertex) of the graph. which is at the coordinates x=5 and y=9 or (5; 9).to determine whether it's a maximum or mininum value, you have to discern whether the vertex's y-value is the highest value or lowest value the graph can reach. since the vertex's y-value, 9 is the highest value the graph can reach, it will be a maximum.another basic way to determine whether the vertex's value is max or min is to see if the graph is smiling or sad. if it's smiling, the turning point/vertex would be a minimum, while a sad parabola would have a maximum y-value at the vertex.