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Natalka [10]
3 years ago
7

Which of the following is the solution to 6/(x+2) = 5/4x?

Mathematics
1 answer:
Oliga [24]3 years ago
6 0

Answer:

The answer to your question is     x = 10/19

Step-by-step explanation:

Equation

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

To solve this equation use cross multiplication

                      6(4x) = 5(x + 2)

Simplify

                     24x = 5x + 10

Subtract 5x in both sides of the equation

                     24x - 5x = 5x - 5x + 10

Simplify

                     19x = 10

Divide by 19 both sides

                     19x/19 = 10/19

Simplify

                         x = 10/19

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The line passes through the point (2,-9) and has a zero slope. Write the answer in slope-intercept form.
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Answer:

Okay so for finding the equation of a line, which is a function, the equation is set to y, so you can eliminate A and B. When the slope of an equation is 0, we are saying that the y value of any point of the line is going to be the same, which is 9 from the given point (2,9).

So the answer is C. y=9

Step-by-step explanation:

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Step-by-step explanation:

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4 0
3 years ago
Which is the graph of the linear inequality 1/2 x – 2y &gt; –6? Image for option 1 Image for option 2 Image for option 3 Image f
raketka [301]

Answer:

The graph in the attached figure

Step-by-step explanation:

we have

\frac{1}{2}x-2y > -6

Isolate the variable y

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Divide by -2 both sides

y < 3+\frac{1}{4}x

The solution of the inequality is the shaded area below the dashed line y = 3+\frac{1}{4}x

To plot the inequality find the intercepts

The y-intercept is the point (0,3)  (value of y when the value of x is equal to zero)

The x-intercept is the point (-12,0) (value of x when the value of y is equal to zero)

Plot the intercepts

Drawn the dashed line

shaded the region below the dashed line

The graph in the attached figure

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