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maksim [4K]
3 years ago
12

At a benefit​ concert, nine bands have volunteered to perform but there is only enough time for six of the bands to play. How ma

ny lineups are​ possible?

Mathematics
1 answer:
Yuliya22 [10]3 years ago
5 0
You have to calculate how many ways you can select six things (r)
from a set of 9 things (n).  (See attached formula).

9! / 6! * (3!) =
9*8*7 * 6! / 6! * 3! =
9*8*7 / 3! =
3 * 4 * 7 = 84 lineups


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Key Features of Graphs of Functions - Part 1
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Answer:

See below

Step-by-step explanation:

Q1.

  • In a function, every <u>output</u> value corresponds to exactly one <u>input </u>

value.

<em>The words to be interchanged are underlined. The function as per definition has exactly one output for each input.</em>

Q2.

Part A

  • Because it has 2 same input value for 2 different output values

Part B

  • The two points are (4, -2) and (4, 2)
5 0
3 years ago
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The perimeters of a rectangle is 120 feet. If the length of the rectangle is 10 feet more that the width, what are the dimension
elena55 [62]

Answer:

48 ;)

Step-by-step explanation:

7 0
3 years ago
Given the equation y − 3 = one half(x + 6) in point-slope form, identify the equation of the same line in standard form.
Schach [20]

Answer:

A. x-2y=-12

Step-by-step explanation:

We have been given an equation of a line in point-slope form. We are asked to write our given equation in standard form.

y-3=\frac{1}{2}(x+6)

Since we know that standard form of equation is: ax+by=c, where, a, b and c are constants.

Let us multiply both sides of our given equation by 2.

(y-3)*2=2*\frac{1}{2}(x+6)

2y-6=x+6

Let us add 6 to both sides of our equation.

2y-6+6=x+6+6

2y=x+12

Let us subtract x from both sides of our equation.

2y-x=x-x+12

2y-x=12

Multiply both sides of our equation by -1.

-2y+x=-12

Rearranging our equation we will get,

x-2y=-12

Therefore, the standard form of our given equation is x-2y=-12 and option A is the correct choice.

4 0
3 years ago
F(x)=x 3−9xf, left parenthesis, x, right parenthesis, equals, x, cubed, minus, 9, x What is the average rate of change of f over
mel-nik [20]

Answer:

A(x) = 243

Step-by-step explanation:

Given

f(x) = x^3 - 9x

Interval: (12,6)

Required

Determine the average rate of change

Average rate is calculated as thus;

A(x) = \frac{f(b) - f(a)}{b - a}

<em>In this case; b = 12 and a = 6</em>

Calculating f(12)

f(12) = 12^3 - 9 * 12

f(12) = 1728 - 108

f(12) = 1620

Calculating f(6)

f(6) = 6^3 - 9 * 6

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Substitute 12 for b and 6 for a in A(x) = \frac{f(b) - f(a)}{b - a}

A(x) = \frac{f(12) - f(6)}{12 - 6}

Substitute values for f(6) and f(12)

A(x) = \frac{1620 - 162}{12 - 6}

A(x) = \frac{1458}{ 6}

A(x) = 243

4 0
3 years ago
Which of the equations below shows the relationship in the table?
poizon [28]

Answer: y=15/x

For this problem you need to use trial and error.

For the first equation, 15-14 does equal 1, but 5-14 doesn’t equal 3. For the second equation, 15x15 doesn’t equal 1. For the third equation, 15+2 doesn’t equal 1. For the last equation, 15/15 is 1, 15/5 is 3, and so on. So, the last equation shows the relationship in the table.

:)

7 0
2 years ago
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