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3 years ago

Which of the following graphs would represent the solution set for y<6x-2

Mathematics

2 answers:

MA_775_DIABLO [31]3 years ago

7 0

Step-by-step explanation:

y< 6x -2

To graph this inequality , replace < symbol with = sign

y= 6x -2

Make a table to graph this equation

x y= 6x-2

0 -2

1 4

2 10

While grahing we use dotted line,because we have only < symbol

Now we do shading

USe test point (0,0)

y<6x-2

0 < -2 False

We shade the part that does not contains (0,0)

The graph is attached below

OverLord2011 [107]3 years ago

5 0

Where is the graph but in this case the y intercept would be -2 and you slope is 6 so go up 6 and to the right one and go down six and to the left one and thats what the graph should look like

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Read 2 more answers

(x - 2)(x² + 2x + 4) = 0

Ber [7]

We have to find the value of x from the given equation.

(x - 2)(x² - 2x + 2) = 0 is a quadratic equation, so it will have two values.

Step: Write the equation in simplest form.

(x - 2)(x² - 2x + 1) = 0

Step: Solve the problem by spiltting method.

(x-2)(x² - x -x + 1) = 0
(x - 2)(x²-x - x + 1) = 0
(x - 2) [x(x - 1) -1(x -1)]
(x - 2)[(x-1)(x-1)]

Step: Solve the problem with using algebraic formula.

{x-1](x-1)

Step : We have used a²-b² to solve the problem.

(x-2)(x² - x -x + 1) = 0

(x - 2)(x²-x - x + 1) = 0

(x - 2) [x(x - 1) -1(x -1)]

(x - 2)[(x-1)(x-1)]

Therefore, the possible factorization is (x - 2)[(x-1)(x-1)].

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3 years ago