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Masteriza [31]
1 year ago
8

Solve for x. 1/2x + 3 = 2/3x + 1

Mathematics
1 answer:
makvit [3.9K]1 year ago
5 0

Answer:

x = 12

Step-by-step explanation:

\frac{1}{2} x + 3 = \frac{2}{3} x + 1

multiply through by 6 ( the LCM of 2 and 3 ) to clear the fractions

3x + 18 = 4x + 6 ( subtract 3x from both sides )

18 = x + 6 ( subtract 6 from both sides )

12 = x

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Answer:  Answer  is in the steps..

Step-by-step explanation:

f(x)= 2x^{2} - 3x -5        

A) To find the x intercepts of a parabola we have to set the whole equation equal zero because the x intercept is when y equal zero in other words where f(x) equal zero.

 2x^{2}  - 3x - 5 = 0     Now solve using quadratic formula.

  x = -b±\frac{\sqrt{b^2 -4ac } }{2a}    

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The x intercepts are  (5/2,0)  and (-1,0)

   

B)  The graph vertex of the graph of f(x)  is going to be at a minimum because the leading coefficient of the function has a positive integer which means the parabola will open up and its vertex will be at the minimum point.

 Using the  x coordinates  we could find their average and find the x coordinate of the   vertex.

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