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Iteru [2.4K]
3 years ago
12

What are the quotient and remainder of (3x^3-2x^2-8)/(x+5)

Mathematics
2 answers:
MA_775_DIABLO [31]3 years ago
7 0

Answer:

Quotient 3x^2 - 17x + 85   remainder -433.

Step-by-step explanation:

Perform Long Division:

        3x^2 - 17x + 85   <---------Quotient

        ----------------------

x + 5) 3x^3 -  2x^2 + 0x  - 8

         3x^3 + 15x^2

                  - 17x^2 + 0 x

                  - 17x^2 -85x

                               85x   -   8

                                85x + 425

                                            -433  <------ Remainder.

MAXImum [283]3 years ago
5 0

Answer:

The quotient : 3x^2 — 17x + 85

The remainder = — 433

Step-by-step explanation:

3x^3-2x^2-8)/(x+5)

The above can be solved by following the illustration in the attached file.

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What is the equation of a line with a slope of -1/2 and passes through the point (6,-6)
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Hope that helped
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Answer:

what is this question?

Step-by-step explanation:

7 0
3 years ago
the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati
luda_lava [24]

Answer:

The standard deviation of the data set is \sigma = 12.7906.

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}

we use the following formula

                                             \sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }

Step 1: Find the mean \left( \overline{X} \right).

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

                                     Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}

Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

\sum{\left(x_i - \overline{X}\right)^2} = 1472.4

Step 4: Calculate σ using the above formula.

\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }       = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906

3 0
3 years ago
How do these numbers compare? Drag the correct comparison symbol to the box. 2.75 2.6
Natalka [10]
<h2>COMPARE</h2>

<h2>\\ \sf \: 2.75 \:  \:  \: \green{\boxed{\tt{{ > }}}} \:  \:  \: 2.6 \\</h2>

The correct sign for the two given digits compared is greater than. 2.75 is greater than 2.6.

8 0
3 years ago
Read 2 more answers
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