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UNO [17]
3 years ago
15

Express the revenue equation in terms of price given the demand function.

Mathematics
1 answer:
statuscvo [17]3 years ago
4 0

Answer:

Step-by-step explanation:

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Find the nth term of this quadratic sequence<br> 3, 11, 25, 45, .
Hoochie [10]

The term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Given,

In the question:

The quadratic sequence is :

3, 11, 25, 45, ...

To find the nth term of the quadratic sequence.

Now, According to the question;

The first term of the sequence is 3, the second term is 11, the third term is 25, and the fourth term is 45.

The difference between the first and second terms can be calculated as follows:

11-3 = 8

The difference between the second and third terms can be calculated as follows:

25-11 = 14

The difference between the third and fourth terms can be calculated as follows:

45-25 = 20

The sequence is expressed as follows:

3,3+8,11+11,25+20,...

The difference between consecutive terms expands by 6.

Use the principle of mathematical induction.

6(\frac{n(n+1)}{2} )

= 3n(n+1)

The sequence's nth term can be calculated as follows:

term = 3n(n+1) - 4n + 1

             = 3n² - n + 1

Hence, the term of the given quadratic sequence is found to be 3n² - n + 1 using the principle of mathematical induction.

Learn more about Principle of mathematical induction at:

brainly.com/question/29222282

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6 0
1 year ago
PLEASE HELP!!!!!!!!!!!!
bixtya [17]

Answer: Numbers of servings: 10 and 13, Liters of punch: 14

Step-by-step explanation:

Number of servings - 6 = Liters of punch.

4 0
2 years ago
4.2 x 106 – 1.2 x 105 - 2.5 x 105<br> Write in scientific notation
Alik [6]

Answer:

3.83×10^6

5 0
2 years ago
54 miles is 18% of how many miles?
riadik2000 [5.3K]

Answer:

(set up a ratio)

54/x = 18/100

(cross multiply)

18x = 5400

(solve for x)

x = 300 miles

Step-by-step explanation:

6 0
3 years ago
Square root of 6 minus square root of 7 divided by square root of 6 plus square root of 7
zheka24 [161]
\frac{ \sqrt{6}- \sqrt{7} }{ \sqrt{6}+ \sqrt{7} } \\ &#10; Multiply \ and \ divide \ by \ the \ conjugate. \\ &#10; =\frac{ \sqrt{6}- \sqrt{7} }{ \sqrt{6}+ \sqrt{7} } \times \ \frac{ \sqrt{6}- \sqrt{7} }{ \sqrt{6}- \sqrt{7} } \\ &#10;=
\frac{( \sqrt{6}- \sqrt{7})^2 }{ \sqrt{6}^2 - \sqrt{7}^2 }} \\ &#10; =\frac{( \sqrt{6}- \sqrt{7})^2 }{-1} \\ &#10; =-( \sqrt{6}- \sqrt{7})^2 \\ &#10; = -( \sqrt{6}^2-2( \sqrt{6} \sqrt{7}+ \sqrt{7}^2 \\ &#10; =-(6 -2 \sqrt{42} +7) \\ &#10; =-6+2 \sqrt{42}-7 \\ &#10; =-13+2 \sqrt{42} \\ &#10;Answer: \ -13+2 \sqrt{42}

6 0
3 years ago
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