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Sever21 [200]
3 years ago
11

Which function best fits the following points?

Mathematics
1 answer:
Rudik [331]3 years ago
6 0

Answer:

Correct answer is choice B.

Step-by-step explanation:

We have been given a graph and 4 different choices.

Now we need to determine about which of the given functions best fits the points in the graph.

From graph we can clearly see that points are going upward very fast as compared to x when x-value increases.

That happens in exponential type function  which is usually written in form of

y=ab^x

Choice B looks similar to that.

hence correct answer is choice B.

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The number of members over time in an online music sharing club can be modeled by an exponential function. the club started with
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Answer:

a.) N(x) =  N_{0} e^{bx}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) The club will not be able to get more than 5000 members during its first year.

Step-by-step explanation:

i) the club started with 2100 members.

  so we can write N_{0} = 2100.

a.) so we can write the equation as an exponential function given by

  N(x) =  N_{0} e^{bx} where x is in months and b is a constant and N(x) is the number of members in the online music sharing club .

 therefore 2142 = 2100 \times (e^{b\times 1}) = 2100e^{b}

b.) therefore b = \ln \frac{2142}{2100}  =  \ln (1.02) = 0.0198

    b is the rate of increase of number of members

c.) Will the club have more than 5000 members during its first year? Justify your reasoning.

      5000 = 2100e^{0.0198x}

 therefore x  = \frac{1}{0.0198} \ln{(\frac{5000}{2100} )}  =  43.81 \hspace{0.1cm}months

The club will not be able to get more than 5000 members during its first year.

7 0
3 years ago
Simplify the following expression: (5x2 + 3x + 4) − (2x2 + 5x − 1). If the final answer is written in the form Ax2 + Bx + C, wha
algol13

Answer:

A = 3

Step-by-step explanation:

Given

(5x² + 3x + 4) - (2x² + 5x - 1)

Remove the parenthesis from the first and distribute the second by - 1

= 5x² + 3x + 4 - 2x² - 5x + 1 ← collect like terms

= 3x² - 2x + 5

In the form Ax² + Bx + C

with A = 3

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exis [7]
2x + y = 10
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Please consider marking this answer as Brainliest to help me advance, and let me know if you need any clarifications.
4 0
3 years ago
Find the perimeter and area ​
Paraphin [41]

Answer:

Perimeter = 19.6 cm

Area = 9.3 cm squared

Step-by-step explanation:

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