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BlackZzzverrR [31]
3 years ago
9

5.Solve the system using substitution.

Mathematics
1 answer:
Nikolay [14]3 years ago
8 0
OK first convert one of the equations into Y=MX+b form

Y-2x = 3
Add 2X

Y = 2x +3
Now substitute this equation in the other one.
So it would be

3X - 2Y = 5

3X-2(2x+3) = 5

Now solve for y

3X - 4X - 6 = 5

-1X - 6 = 5

Add 6

-1X = 11

X = -11

Now substitute this into one of the equations

Y - 2X = 3

Y -2(-11) = 3

Y +22 = 3

y = 3-22

y = -19


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The numbers of teams remaining in each round of a single-elimination tennis tournament represent a geometric sequence where an i
katrin2010 [14]

Answer:

The geometric series is given by:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

Step-by-step explanation:

We are given the following in the question:

The numbers of teams remaining in each round follows a geometric sequence.

Let a be the first term and r be the common ratio.

The n^{th} term of a geometric sequence is given by:

a_n = ar^{n-1}

There are 16 teams remaining in round 4 and 4 teams in round 6.

Thus, we can write:

a_4 = 16 = ar^3\\a_6 = 4 = ar^5

Dividing the two equations, we get,

\dfrac{16}{4}=\dfrac{ar^3}{ar^5}\\\\4=\dfrac{1}{r^2}\\r^2=\dfrac{1}{4}\\\\r = \dfrac{1}{2}

Putting value of r in he equation we get:

16=a(\dfrac{1}{2})^2\\\\a = 16\times 2^3\\a = 128

Thus, the geometric sequence can be written as:

a_n = 128\bigg(\dfrac{1}{2}\bigg)^{n-1}

5 0
3 years ago
(2 points) (a) What operation on both sides of the equation 8x = 72 isolates the variable on one side? There may be more than on
elixir [45]

Answer:

Dividing by 8 on both sides

Step-by-step explanation:

3 0
3 years ago
How do you convert 2/30 into a percent ?
bixtya [17]
2/30 in percentage is 6,67%
you must divide first the fraction and multiply by 100
8 0
3 years ago
Read 2 more answers
The rule for the nth term of a sequence is 5n + 16<br> Find the 10th term of the sequence.
lara [203]

Answer:

66

Step-by-step explanation:

It's given that

Tn = 5n + 16

The 10th term is

T10 = 5(10) + 16

= 66

8 0
2 years ago
Read 2 more answers
Question 3
Yuliya22 [10]

Answer:

Median and Mode.

Step-by-step explanation:

The data could be represented in table form in ascending order as:

 <u>Number of meals</u>                      <u> Frequency</u>

      2                                                     2

       3                                                     3

       4                                                     2

       19                                                    1`

On the basis of the data now we find the mean, median and mode:

Mean= average of the data

Mean=\dfrac{2\times 2+3\times 3+4\times 2+19\times 1}{2+3+2+1}=\dfrac{40}{8}=5

Hence mean is 5.

Median is the central tendency of the data

on looking at our data we see that the Median=3.

also the mode of the data is the entry corresponding to the highest entry.

Hence the highest frequency is 3 and the corresponding value is 3.

Hence, Mode=3

Hence, the most appropriate measure of center for this situation is :

Median and Mode.

4 0
3 years ago
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