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3 years ago

PLEASE HELP WITH ALGEBRA QUESTION NEED ASAP!!

Mathematics

1 answer:

Delvig [45]3 years ago

3 0

Answer:

The function f(x) = ln(x - 4) is graphed the question options

Step-by-step explanation:

* Lets study the the information of the problem

- The graph of a logarithmic has a vertical asymptote at x=4

* That means the curve gets closer and closer to the vertical line x = 4

but does not cross it

- It contains the point (e+4, 1)

* That means if we substitute x = e + 4 in the equation the value

of y will be equal to 1

- It has an x-intercept of 5

* That means if we substitute y = 0 in the equation the value of x

will be equal to 5

* Lets find the right answer

∵ f(x) = ln(x - 4)

* To find the equation of the asymptote let x - 4 = 0

∵ x - 4 = 0

∴ x = 4

∴ f(x) has a vertical asymptote at x = 4

* Lets check the point (e + 4 , 1) lies on the graph of the f(x)

∵ x = e + 4

∴ f(e+4) = ln(e + 4 - 4) = ln(e)

∵ ln(e) = 1

∴ The point (e+4 , 1) lies on the graph of the function f(x)

* To find the x-intercept put y = 0

∵ f(x) = 0

∴ ln(x - 4) = 0

* Change the logarithmic function to the exponential function

- The base of the ln is e

∴ e^0 = x - 4

∵ e^0 = 1

∴ x - 4 = 1 ⇒ add 4 to the both sides

∴ x = 5

* The function f(x) = ln(x - 4) is graphed the question options

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3 years ago

Selma cannot remember her locker number! She knows that her locker number is prime, and that it is a factor of 435. What are all

tatuchka [14]

Answer:

Possible locker numbers for Selma are: 3, 5 and 29

Step-by-step explanation:

First of all, let us have a look at the definition of a prime number.

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No other number divides the prime number other than 1 and the number itself.

Now, let us factorize the given number 435 and let us observe the what all possibilities are there.

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Answer:

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Step-by-step explanation:

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