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OleMash [197]
3 years ago
6

{{PLZ HELP}} Use algebraic rules of equations to predict the solution to the system of equations. Include all of your work for f

ull credit.
{x+2y=10
{6y=-3x+30
Mathematics
2 answers:
4vir4ik [10]3 years ago
5 0

Answer:

<h2>The system of equation has infinite number of solutions</h2>

Step-by-step explanation:

The given system of equations is

\left \{ {{x+2y=10} \atop {6y=-3x+30}} \right.

First, we need to rewrite the system in order

\left \{ {{x+2y=10} \atop {3x+6y=+30}} \right.

Now, we multiply the first equation by -3, and solve

\left \{ {{(-3)(x+2y)=(-3)(10)} \atop {3x+6y=+30}} \right.\\\\\left \{ {{-3x-6y=-30} \atop {3x+6y=+30}} \right.\\\\0x+0y=0

This means the system of equation has infinite number of solutions, that is, it's a consistent system.

The reason of this result is because both equation represent the same line, it's like one line is on top of the other, sharing all points, that's why it has infinte solutions.

Archy [21]3 years ago
4 0
Hello!

x+2y=10
x=10-2y

6y=-3(10-2y)+30
6y=-30+6y+30
0=0

Hope this Helps! :)
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13 cm × 3.14 ( pi )

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every year, Hannah sells blueberry and strawberry jam at the local farmers market. Hannah charges four dollars Per jar of bluebe
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3 0
3 years ago
Use the graphing tool to create a histogram of Gretchen’s data. Use eight bins for your histogram.
lozanna [386]

The number of bins in the histogram determines the width of the bins and

the frequency (number of members) in a bin.

  • Please find attached the graph of the histogram of Gretchen's data created with MS Excel.
<h3 /><h3>Method used to create the histogram of Gretchen's data</h3>

Given:

The table from  Gretchen's data is presented as follows;

\begin{tabular}{|c|c|} \underline{ Member}& \underline{Number of Days}\\x_1&2\\x_2&4\\x_3&7\\x_4&8\\x_5&12\\x_6&15\\x_7&10\\x_8&7\\x_9&9\\x_{10}&6\\x_{11}&13\\x_{12}&3\\x_{13}&8\\x_{14}&10\\x_{15}&10\end{array}\right]

The required number of bins = 8 bins

The steps to create the histogram using MS Excel;

  • Enter the 15 dataset for the number of days as presented in the above table in a column on the worksheet.

  • Select the dataset entered into the cells from above then select the Insert menu.

  • In the Chart section of the insert menu click on the Histogram icon to view the quick options for histograms type charts.

  • Select the Histogram option from the drop down menu from the quick options for histograms, to create an histogram chart.

  • Right-click the histogram created from the previous step, then select Format Chart Area from the pop up menu.

  • In the Format Chart Area task pane, click on the arrow next to Chart Options, then select Horizontal Axis from the options menu.

  • Click on the histogram icon under Axis Options, then click on arrow button besides Axis Option sub menu, to display the axis options.

  • Click on the Number of bins radio button then enter 8, to create an histogram having 8 bins.

The histogram of Gretchen's data having eight bins created with MS Excel is attached.

Learn more about creating a histogram chart here:

brainly.com/question/25069221

brainly.com/question/4601962

5 0
2 years ago
when nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall. what was the per
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Answer:

The percent change in Nancy height is 10%

Step-by-step explanation:

Given : when Nancy started middle school, she was 60 inches tall. when she started high school, she was 66 inches tall.

We have to find the percent change in her height.

Percentage change is given by the ratio of the difference in old value and new value to the old value times 100

Mathematically written as

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For the given data,

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Simlify, we have,

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Thus, The percent change in her height is 10%

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