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Stella [2.4K]
1 year ago
9

Write down the solution to the simultaneous equations.

Mathematics
1 answer:
julia-pushkina [17]1 year ago
4 0

Answer:

x = 5/2; y = 7

Step-by-step explanation:

2x + y = 12

y = 2x + 2

Use substitution to replace y in the first equation with 2x + 2.

2x + 2x + 2 = 12

4x + 2 = 12

4x = 10

x = 10/4

x = 5/2

y = 2x + 2

y = 2(5/2) + 2 = 5 + 2

y = 7

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What is the median of the following string of values?<br> 55, 18, 58, 49, 8, 77, 62, 26, 7.11
LuckyWell [14K]

Answer:

The answer is 49 if we are to assume you meant 7.11 and not 7,11.

If you meant 7,11 - the answer is 28.5.

Step-by-step explanation:

If we are assuming you meant "7,11" and not "7.11", then we would start by removing the lowest and highest numbers from the list respectively, and repeating the process until you only have 1 or 2 numbers left.

Here are the pairs of numbers removed if we are assuming you meant 7.11;

7.11 / 77

8 / 62

18 / 58

26 / 55

We are left with 49, and that would be your median.

However, if we were to assume you meant 7,11, then we'd have to start over and repeat the process.

7 / 77

8 / 62

11 / 58

18 / 55

26 / 49 is our final answer; however we are not to assume this as we need a definite number. To resolve this, we would need to average the two numbers. To do this, we add them together and divide by how many numbers we added.

26 + 49 = 75.

75 / 2 = 28.5

Your median for this would be 28.5.

Hope this helps! Have a great rest of your day. :)

3 0
2 years ago
Read 2 more answers
Find the range of the function for the given domain. ​
Mice21 [21]

Answer: {5, -7, -19, -27, -35}

Step-by-step explanation:

In order solve this, we need to plug in the values of x into the table.

For spaces on the left of the equals sign, you need to write each x from the domain. You can then match that x-value with its function value by putting that on the right side.

For each equation, we are simply plugging a number from the domain into the function and replacing the x-value:

f(-1) = -4(-1) + 1 = 5\\f(2) = -4(2) + 1 = -7\\f(5) = -4(5) + 1 = -19\\f(7) = -4(7) + 1 = -27\\f(9) = -4(9) + 1 = -35

I hope this helps. If you need any extra explanation on how the functions are set up, please let me know.

5 0
1 year ago
If tan x =3/4, and 0
jasenka [17]

Answer: x=0.6435011

Step-by-step explanation:

Take the inverse tangent of both sides of the equation to extract  

x

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3

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0.6435011

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x

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3.78509376

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6 0
2 years ago
Timothy has a fenced-in garden in the shape of a rhombus. The length of the longer diagonal is 24 feet, and the length of the sh
Drupady [299]
One side of the fenced-in garden is 15 ft
7 0
3 years ago
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I need help. (image below)
vovangra [49]

Answer:

∠5 = 35°

Step-by-step explanation:

∠5 = ∠2  because they are alternate interior congruent angles

∠5 = 35°

7 0
2 years ago
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