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Sati [7]
3 years ago
8

Which of the following is the correct factorization of the polynomial below? x^3-15

Mathematics
2 answers:
stealth61 [152]3 years ago
5 0

Answer with explanation:

Use the identity to solve the problem

a^3 -b^3=(a-b)(a^2+ab+b^2)\\\\x^3-15=x^3-(15^{\frac{1}{3})^3}\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+((15)^{\frac{1}{3}})^{2}]\\\\=[x-(15)^{\frac{1}{3}}][x^2+(15)^{\frac{1}{3}}x+(15)^{\frac{2}{3}}]  

Anuta_ua [19.1K]3 years ago
4 0
The polynomial is irreducible.
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Y = 5-3x, Darw the graph of the function. Use the find the value of y when x=4, and when x = 5​
stellarik [79]

Answer:

The line passes through (4, -7) and (5, -10).

Step-by-step explanation:

When x = 4, y = 5 - 3(4), or 5 - 12, or -7.  Thus the point (4, -7) lies on the graph.  Similarly y = 5 - 3(5) = -10 when x  = 5.  Thus, the line also goes through (5, -10).  Plot these two points and draw a line through them.  Doing this will result in the desired graph.

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2 years ago
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pantera1 [17]

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8 0
3 years ago
#8 How could you find the area of this shape? O A= 4 x Area of triangle + Area of square O A = 5 x Area of triangle O A = 5 x Ar
KIM [24]

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Step-by-step explanation:

3 0
3 years ago
Select the correct answer from the drop-down menu. consider this population data set: 4, 6, 7, 11, 12, 18, 26, 23, 14, 31, 22, a
elena55 [62]

The correct answer from the drop-down menu is 3.5.

<h3>What is the mean value?</h3>

The mean is the average of the numbers. It is easy to calculate add up all the numbers, then divide by how many numbers in the data set.

Therefore the population mean is the sum of the 12 data set values divided by 12

4 + 6 + 7 + 11 + 12 + 18 + 26 + 23 + 14 + 31 + 22 + 12 = 186.

Therefore the population mean

= 186/12

= 15.5.

The sample mean is given by the sum of the 4 sample values divided by 4

11 + 31 + 22 + 12

Sum = 76.

Therefore the sample mean

= 76/4

= 19.

The sample mean is more than the population mean by

= 19 - 15.5

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To learn more about the mean visit:

brainly.com/question/21577204

8 0
2 years ago
School trip has 40 boys and 56 girls. What is the greatest number of groups that can be formed? How many boys and how many girls
Kamila [148]

Answer:

a) 8 groups

b) 5 boys per group and 7 girls per group

Step-by-step explanation:

School trip has 40 boys and 56 girls.

We solve the above question using the Greatest Common Factor Method

We find the factors of 40 and 56

The factors of 40 are: 1, 2, 4, 5, 8, 10, 20, 40

The factors of 56 are: 1, 2, 4, 7, 8, 14, 28, 56

Then the greatest common factor is 8.

a) What is the greatest number of groups that can be formed?

The greatest number of groups that can be formed is 8 groups

b)How many boys and how many girls will be in each group?

For boys.

The number of boys in each group is calculated as:

40 boys/8 groups = 5 boys per group

For girls

For 56 boys.

The number of boys in each grouo is calculated as:

56 girls /8 groups = 7 girls per group

3 0
3 years ago
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