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asambeis [7]
3 years ago
13

Solve x − 5y = 6 for x.

Mathematics
1 answer:
pentagon [3]3 years ago
8 0

Answer:

All real numbers

Step-by-step explanation:

Solve a system of equations by elimination

With the equation given, you can solve for y to get: y = \frac{1}{5}x - \frac{6}{5}

Then, substitute this value in on the equation.

x - 5(\frac{1}{5}x - \frac{6}{5}) = 6

x - x + 6 = 6

6 = 6

The solution is all real numbers

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The average rate of change of g(x) between x = 4 and x = 7 is 5/6 . Which statement must be true?
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Answer:

\frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}  would be the correct statement.

Step-by-step explanation:

As we know that

Average rate of change = Change in output / Change in input    

                                        =  Δy  / Δx

                                        =\frac{y_{2} -y_{1}}{x_{2} -x_{1}}

                                        =\frac{g(x_{2})-g(x_{1})}{x_{2}-x_{1}}

                                         =\frac{g(7)-g(4)}{7-4}                    

As the average rate of change of g(x) between x = 4 and x = 7 is 5/6.

so

\:Average\:rate\:of\:change\:=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}

                                  \frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}

Therefore, \frac{5}{6}=\:\frac{g\left(7\right)-g\left(4\right)}{7-4}  would be the correct statement.                      

6 0
3 years ago
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