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Olegator [25]
3 years ago
15

A club began with 3 members. Each month, each member brought one new member. Which function can be used to determine the number

of members x months after the club began? A. f(x) = 2x + 3 B. f(x) = 3x + 1 C. f(x) = 1.5(2)x D. f(x) = 3(2)x
Mathematics
1 answer:
erastova [34]3 years ago
3 0

In x th month, members =  3^{2x}. Option D.

Step-by-step explanation:

Given,

Initially number of members = 3

Every month each member brought 1 new member.

To find the number of members after x months.

<u>Solution:</u>

In 1st month, members = 3

In 2nd month, members = 3×3 = 9 = 3²

In 3rd month, members = 9×9 = 81 = 3^{4}

In 4th month, members = 81×81 = 81 = 6561 = 3^{8}

Hence,

In x th month, members =  3^{2x}

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A survey was done that asked people to indicate whether they preferred running outdoors or running indoors. The results of the s
ser-zykov [4K]

Answer:

Option A. Divide 382 by 1027.

Step-by-step explanation:

A survey was done about the people who preferred running indoors and outdoors. Then a two way table was prepared.

Amir is making a relative frequency table.

As we know relative frequency table is prepared by the dividing number of frequency by the total number of students taken in the sample.

Now he will take the data from the given two way table.

People age 30 years and younger were 382 running outdoors and 105 running indoor.

So people having age 30 and below are 382 + 105 = 487

Similarly people Over 30 years old running outdoor and indoor = 299 + 241 = 541

Now Total number of people taken in the sample = 487 + 541 = 1027

So relative frequency for the people of age 30 and younger will be

382/1027 for outdoor and 105/1027 for indoor.

Therefore answer will be Option A. Divide by 382/1027.

3 0
3 years ago
Simply by using rationalize denominators.<br><br> 2a^-1/2
Advocard [28]
Pemdas, so exponent before multiply
so do a^-1/2 then multiply it by 2

remember that x^ \frac{m}{n}= \sqrt[n]{x^m} and
x^{-m}= \frac{1}{x^m}
therefor, a^ \frac{-1}{2}= \frac{1}{a^ \frac{1}{2} } = \frac{1}{ \sqrt{a} }
the we multiply by 2

\frac{2}{ \sqrt{a} }

8 0
3 years ago
Sylvia is making a pot of stew that needs 3 quarts of beef broth. How many cups of beef broth does she need? Please explain how
Sergeeva-Olga [200]
12 cups because there are 2 cups in a pint and 2 pints in a quart

6 0
3 years ago
Read 2 more answers
Given the parent function f(x)=|x|, write the equation of the function g(x) whose graph is pictured
kenny6666 [7]

By analyzing the graph of the transformed function, we can see that:

g(x) = 2*|x - 2| - 4

<h3>How to get the function g(x)?</h3>

In the image we have two graphs, the yellow one is the graph of g(x).

First, analyzing the vertex we can see the translation used, you need to remember:

<u>Horizontal translation:</u>

For a general function f(x), a horizontal translation of N units is written as:

g(x) = f(x + N).

  • If N is positive, the shift is to the left.
  • If N is negative, the shift is to the right.

<u>Vertical translation:</u>

For a general function f(x), a vertical translation of N units is written as:

g(x) = f(x) + N.

  • If N is positive, the shift is upwards.
  • If N is negative, the shift is downwards.

We can see that the new vertex is at (2, -4), so the translation is 2 units to the right and 4 units down, then we have:

g(x) = |x - 2| - 4

Now, you also can see that the yellow function is narrower, such that for each increase in the x-unit, we have an increase of 2 in the y-axis, then we need to multiply by 2 the absolute value part:

g(x) = 2*|x - 2| - 4

This is the transformed function.

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

5 0
2 years ago
the tickets for a dance recital cost $5.00 for adults and $2.00 for children. if the total number of tickets sold was 295 and th
alukav5142 [94]
210 adult tickets 
85 children tickets
210 x  $5 = $1,050
85 x $2 = $170
1,050 + 170 =1,220
8 0
3 years ago
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