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2 years ago

What is the slope of y = 4 - 2x?

Mathematics

2 answers:

just olya [345]2 years ago

5 0

Answer:

Slope is -2

Step-by-step explanation:

uranmaximum [27]2 years ago

4 0

Answer:

The slope is -2

Step-by-step explanation:

Rewrite in slope-intercept form.

The slope-intercept form is y = mx + b, where m

is the slope and b is the y-intercept.

$y = mx + b$

Reorder 4 and -2x.

$y = - 2x + 4$

Using the slope-intercept form, the slope is −2.

$m = - 2$

Hence, the slope is -2.

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2 years ago

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2 years ago

Solve log base 6 (x-6) - log base 6 (x + 4) = 2

Ray Of Light [21]

Answer:

no solutions

Step-by-step explanation:

Since the two terms have the same base, we are able to use the rule for subtracting logarithms:

$log_{b}(x) - log_{b}(y) = log_{b}(\frac{x}{y} )$

Therefore, the equation can be written as:

$log_{6}(\frac{x-6}{x+4} )=2$

By using the definition of a logarithm we can say that:

$\frac{x-6}{x+4} = 6^{2}\\\frac{x-6}{x+4} = 36\\x -6 = 36x+144\\35x = -150\\x =-\frac{30}{7}$

When plugging this solution in, you find that the term $log_{6}(x-6)$ has x-6 evaluate to a number less than 0. This is not included in the domain of log functions, so $-\frac{30}{7}$ is not a valid solution. This means that there are no solutions.

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1 year ago

Ethan repairs household appliances like dishwashers and refrigerators. For each visit, he charges $25 plus $20 per hour of work.

dalvyx [7]

Answer:the independent variable is x, the number of hours of work.

The dependent variable is y, the total charge for x hours of work.

Step-by-step explanation:

A change in the value of the independent variable causes a corresponding change in the value of in dependent variable. Thus, the dependent variable is is output while the independent variable is the input

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Since the total amount charged, y depends on the number of hours of work, x, it means that the dependent variable is y and the independent variable is x

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2 years ago