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3 years ago

Graphing Logarithmic Expressions In Exercise, sketch the graph of the function. y = In x - 3

Mathematics

1 answer:

taurus [48]3 years ago

7 0

Answer:

The attached image shows the graph for the given function.

Step-by-step explanation:

We are given the function:

$y = \ln(x) - 3$

We have to graph the given function.

Properties of given function:

The given function is a log function of the form $y = \log_a(x) + b$
Here a = e(exponential constant) and b = -3
There are no y intercept for the given function.
The x-intercept is $(e^3,0)$
The range of the given function is $(-\infty,\infty)$
The domain of the given function is $(0,\infty)$

The attached image shows the graph for the given function.

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Answer:

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3 years ago

A gym employee is paid monthly. After working for three months, he earned $4,500. To determine how much money he will make over

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3 years ago

Read 2 more answers

I am Lyosha [343]

You have the right idea that things need to get multiplied.

What should be done is that the entire fraction needs to get multipled by the lowest common denominator of both denominators.

Let's look at the complex numerator. Its denominators are 5 and x + 6. Nothing is common with these, so both pieces are needed.

The complex denominator has x - 3 as its denominator. With nothing in common between it and the complex numerator, that piece is needed.

So we multiply the entire complex fraction by (5)(x + 6)(x -3).

Numerator: $(\frac{1}{5} -\frac{5}{x + 6})(5)(x +6)(x-3) =\frac{1}{5}(5)(x +6)(x-3) - \frac{5}{x + 6}(5)(x +6)(x-3)$

= (x+6)(x-3) - (5)(5)(x-3)

= (x+6)(x-3) - 25(x-3)

= (x-3)(x + 6 - 25) <--- by group factoring the common x - 3

= (x -3)(x - 19)

Denominator:

$\frac{25}{x - 3} * (5)(x + 6)(x - 3) = (25)(5)(x + 6) = 125(x + 6)$

Now we put the pieces together.

Our fraction simplies to (x - 3) (x - 19) / 125 (x + 6)

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3 years ago

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The answer would be:

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3 years ago

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zysi [14]

C would be 16 and b would be 8 square root of 3 so the answer would be a

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3 years ago