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arlik [135]
3 years ago
5

What is a cubic polynomial function in standard form with zeros 1,1,and -3?

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
8 0

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

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You are helping to plan an awards banquet for your school, and you need to rent tables to seat 180 people. Tables come in two si
pshichka [43]

Answer:

An equation modeling the situation  is : 4 m + 6 n  = 180

Step-by-step explanation:

Here,  the total number of guests in the banquet hall = 180

Let us assume number of tables ordered  with capacity of

4 people each  = m

And number of tables ordered  with capacity of 6 people each  = n

So, total number of people in m tables = m x ( Capacity of 1 table)

=  m x (4)  = 4 m

And, total number of people in n tables = n x ( Capacity of 1 table)

=  n x (6)  = 6 n

So, the total capacity of ( m + n) tables  = 4 m + 6 n

Also, the total required capacity  = 180

⇒  4 m + 6 n  = 180

Hence, an equation modeling the situation  is : 4 m + 6 n  = 180

3 0
3 years ago
Solve 3(x+1)=7(x-2)-3
tia_tia [17]

Answer:

x = 5

Step-by-step explanation:

To solve this, we just have to the multiplication and do the simplification (adding up the similar terms) afterwards:

3(x+1)=7(x-2)-3 becomes...

3x + 3 = 7x - 14 - 3

3x + 3 = 7x -17

Then we move all x's on one side and all plain numbers on the other side, we'll move the x's to the right since there's a bigger value there, and will move the plain numbers on the left side, by subtracting 3x and by adding 17 on both sides

3x + 3 - 3x + 17 = 7x -17 + 17 - 3x

20 = 4x

If we isolate x alone we have:

20/4 = x or x = 5

7 0
2 years ago
Read 2 more answers
90 - y = 3y - 70 <br> solve for y<br> I NEEEED THIS NOWWWWWWWWWWWWWWWWWWWWWWWWWWWWW
kirill [66]

Answer:

y=40

Step-by-step explanation:

8 0
2 years ago
Read 2 more answers
Please help me thankss
kolezko [41]

Answer:

1/2

Step-by-step explanation:

you can find the ratio by doing 12 / 6 and you will get 2 then you dump a 1 over the 2 to get 1/2 that's not how it works in all tho

3 0
2 years ago
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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
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