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cupoosta [38]
2 years ago
12

3

Mathematics
1 answer:
Vlad [161]2 years ago
3 0

x {}^{(1)}  =  - 3 \:  \:  \:  \:  \:  \: x {}^{(2)}  =  - 1

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A curious patterns occurs in a group of people who all shake hands with one another. It turns out that you can predict the numbe
ycow [4]

Missing part of the question

Determine the number of handshakes, i, that will occur for each number of people, n, in a particular room. (people)

Answer:

S_n = \frac{n}{2}(n - 1)

Step-by-step explanation:

Given

For 5 people

\begin{array}{cc}{People} & {Handshakes} & {5} & {4} & {4} & {3} & {3} & {2} & {2} & {1} & {1} & {0} &{Total} & {10} \ \end{array}

Using the given instance of 5 people, the number of handshakes can be represented as:

(n - 1) + (n - 2) + (n - 3) + ........ + 3 + 2 + 1 + 0

The above sequence is an arithmetic sequence and the total number of handshakes is the sum of n terms of the sequence.

S_n = \frac{n}{2}{(T_1 + T_n})

Where

T_1 = n - 1 --- The first term

T_n = 0 --- The last term

So:

S_n = \frac{n}{2}(n - 1 + 0)

S_n = \frac{n}{2}(n - 1)

7 0
2 years ago
Does the graph represent a function?
saveliy_v [14]

Answer:

The vertical line test can be used to determine whether a graph represents a function. ... If we can draw any vertical line that intersects a graph more than once, then the graph does not define a function because that x value has more than one output. A function has only one output value for each input value.

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
Mike forgot to replace the cap on a bottle of room freshener. The room freshener began to evaporate at the rate of 15% per day.
Serggg [28]
For this case we have a function of the form:
 y = A * (b) ^ x

 Where,
 A: initial amount
 b: decrease rate
 x: time in days
 Substituting values we have:
 y = 40 * (0.85) ^ x

 Therefore, the graph of the function is a decreasing exponential function in the first quadrant and that has an initial value of 40.
 Answer:
 
graph of exponential function going from left to right in quadrant 1 through the point 0, 40 and approaching the x axis
7 0
3 years ago
The weight of a product is normally distributed with a mean of four ounces and a variance of .25 squared ounces. What is the pro
Mazyrski [523]

Answer:

gwmfmskfdkwnd

Step-by-step explanation:

6 0
3 years ago
Read 2 more answers
Solve the following equation for y: 2x-3y=6
Minchanka [31]

2x-3y=6

-y=6

y=-6

<u>Check your Work</u>

-6(2) - 3(-6)=

-12-(-18)=

-12+18=6

5 0
3 years ago
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