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3 months ago

Which equation is represented by the graph below?

Mathematics

2 answers:

Zina [12.3K]3 months ago

6 0

Answer: The third choice.

Step-by-step explanation:

Notice that the graph approaches zero as $x$ , while "y" increases indefinitely when $x>0$ .

The function $y=lnx$ is not valid for any "x" values below zero, hence options 1 and 2 do not correspond to the provided graph.

The function intersects the y-axis at $y=1$ , whereas the function $y=e^x+1$ intersects at $y=2$ , indicating the last option's equation does not match that graph.

Ultimately, the equation that aligns with the graph is:

$y=e^x$

Svet_ta [12.7K]3 months ago

3 0

In this scenario, options A and B are not viable since, by definition, the graph does not align with the characteristics of the Neperian logarithm function.

We evaluated option C:

$y = e ^ x$

Carrying out $x = 0$ results in:

$y = e ^ 0$

Any number raised to the power of zero equals 1.

Thus, we conclude:

$y = 1$

We identify the point (0,1)

Examining option D yields:

$y = e ^ x + 1$

Setting x = 0 gives us:

$y = e ^ 0 + 1\\y = 1 + 1\\y = 2$

The point (0,2) is produced.

Consequently, option C is determined to be the correct choice.

Answer:

Option C

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2 months ago

Read 2 more answers

An automobile manufacturer sold 30,000 new cars, one to each of 30,000 customers, in a certain year. The manufacturer was intere

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A) To establish a sampling plan, follow these 5 steps:
1) Identify the sample population: which customers will you reach out to?
   Those who purchased a new car during a specific year.
2) Determine the population size: how many customers will you contact?
   From the 30,000 car buyers, select 1,000 customers to contact.
3) Select contact method: what is your means of contacting customers?
   Since you have a list with names and addresses, mailing questionnaires is feasible.
4) Define the sampling frame: what is the timeline or deadline for contacting customers?
   Send out questionnaires and allow two months for responses.
5) Decide on the analysis approach: is your research qualitative or quantitative?
   You aim for quantitative research, so you will use probabilistic sampling.

B) The 32.5% probability relates only to those customers who experienced mechanical issues, specifically power door lock problems, and does not account for those without any problems or those reporting issues after the first 5,000 miles.

C) To estimate the probability of power door lock problems among all customers within the first 5,000 miles, consider the entire sample:
P = 13 / 1000 = 0.013

Therefore,
N = 0.013 × 30,000 = 390

Thus, the estimated number of new cars that had power door lock issues within 5,000 miles is 390.

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3 months ago