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MariettaO [177]
3 years ago
12

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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Maureen is taking an antibiotic. The table below shows the amount of antibiotic f(t), in mg, that was present in her body after
MariettaO [177]
One way to test this is by using the equation for Ken on Maureen. Let's say in the first hour,

f(t) = 200(0.976)^1 = 195.2 mg

In the second hour,

f(t) = 200(0.976)^2 = 190.52 mg

In the third hour,

f(t) = 200(0.976)^3 = 186 mg

If you compare this with Maureen's data which is 150, 90 and 54 for the first, second and third hour, respectively, you will see that Maureen's rate is much faster. However, you cannot tell by what factor because the function is exponential, not a multiple. There is no constant difference between their rates. Therefore, we only know that Maureen's rate is much faster.

The answer is <span>Maureen's body eliminated the antibiotic faster than Ken's body.</span>
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3 years ago
How are average I.Q.s related to normal distributions?
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8 0
3 years ago
Read 2 more answers
5. How many solutions does this system of equations have?
Diano4ka-milaya [45]

Answer:

\text{\boxed{\sf{D. \ No\  solution}}}

Step-by-step explanation:

Isolate the term of x and y from one side of the equation.

<h3>y=-4x-9 and y=-4x-1</h3>

First, you have to substitute of y=-4x-1.

\Longrightarrow: \sf{[-4x-1=-4x-9]}

<u>Add by 4x from both sides.</u>

\Longrightarrow: \sf{-4x-1+4x=-4x-9+4x}

<u>Solve.</u>

\Rightarrow:\sf{-1=-9}\\\\\Rightarrow: \sf{(-9)-(-1)=-9+1=-8}\\\\\Rightarrow: \sf{8=0}

  • <u>Therefore, the correct answer is "D. No solution".</u>

I hope this helps. Let me know if you have any questions.

8 0
2 years ago
Question 2
svetoff [14.1K]

Answer:

  • A: 37/41

Step-by-step explanation:

<u>We can observe that:</u>

  • The difference of the second and third numbers is equal to 17
  • The difference of the first and fourth numbers is equal to 13

<u>Therefore the missing pair will be:</u>

  • 20+17 = 37 and 28 + 13 = 41

Correct choice is A

3 0
3 years ago
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