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8_murik_8 [283]
3 years ago
7

If m(x) = x3 and n(x) = √ 6 + x , find the function value, if possible.

Mathematics
1 answer:
charle [14.2K]3 years ago
3 0

Answer:

The correct answer is option D.  -126  

Step-by-step explanation:

<u>Points to remember</u>

<u>Composite functions</u>

f(x) and g(x) be the functions then,

(f - g)(x) = f(x) - g(x)

<u>To find the value of (m - n)(-5)</u>

Let  m(x) = x³ and n(x) = √ (6 + x)

(m - n)(x) = m(x) - n(x)

 =  x³ - √( 6 + x)

(m - n)(-5) = m(-5) - n(-5)

 =  x³ - √( 6 + x)

 =  (-5)³ - √( 6 + -5)

 = -125 -  √1

 = -125 -1

 = -126

The correct answer is option D.  -126

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Answer:

6.32455532i

Step-by-step explanation:

Use the square root calculator too find it

5 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
Find the equation of a line that passes through the point (2,-5) and is perpendicular to the y-axis. Do not put any spaces in yo
Allushta [10]

Answer:

<em>y=-5</em>

Step-by-step explanation:

<u>Equation of the line</u>

Lines can be expressed in several forms. The slope-intercept form of the line is:

y = mx + b

Where m is the slope of the line and m is the y-intercept.

If the line is perpendicular to the y-axis, then it's a horizontal line. Horizontal lines have slope m=0, thus, the equation is:

y = b

To find the value of b, just substitute the given point:

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3 0
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Answer:

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Step-by-step explanation:

6 0
3 years ago
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Need this asap! questions in the ss
svetlana [45]

Answer/Step-by-step explanation:

Part A:

Evidence 1: the line passes through the point of origin, (0, 0)

Evidence 2: it has a unit rate or constant of proportionality, k = y/x = 5/3

Part B:

When extended, if the ray passes through the point, (18, 30), then y/x of this point, should give us the same unit rate (k) of 5/3 of the graph.

Thus:

y/x = 30/18

Simplify

= 5/3

Thus, it has the same unit rate of the graph, therefore, the ray passes through the point (18, 30).

7 0
3 years ago
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