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valina [46]
3 years ago
11

Evaluate the degree of the polynomial (y3 – 2) ( y2 + 11), expand using algebraic expressions and answer.

Mathematics
1 answer:
posledela3 years ago
5 0

Answer:

y^5+11y^3-2y^3-22

Step-by-step explanation:

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an electrician can wire on average 4.5 houses in a week. how many months will it take her to wire houses if she wires the same n
NikAS [45]
I believe it would be 12 months. How i got this answer was by dividing 55 by 4.5.

Even though it is a very vague explanation as to how i got the answer, I hope this helps you.<span />
5 0
3 years ago
If i have three rolls of a dice and for the first and second you choose to either keep your roll or keep going, what is the best
AleksAgata [21]

Answer:

  • On the first roll, we keep a result of 5 or 6, and roll again if it is 4 or lower
  • On the second roll, we keep any result equal or greater that 4 and we roll again for 1,2 or 3
  • We keep anything we obtained from the third row

The expected value is 14/3 = 4.666

Step-by-step explanation:

When you throw a roll the expected value is 3.5 (the average of 1,2,3,4,5 and 6). This means that any roll with value 3 or below is worth changing, because the expected value will transform into 3.5 from the 3 or less you had before.

This means that in your second roll you will keep the result as long as it is 4 or more and you will roll once more if it is 3 or less, hence, you can

  • get a 4, 5 and 6 on your second roll and keep it, so that your value is that number
  • get 1, 2 or 3 on your second roll and roll again, with an expected value of 3.5.

Rolling a third time has a probability of 3/6 = 0.5, obtaining a 4 has a probability of 1/6, same for 5 and 6. Thus, the expected value from the second roll onwards is

1/2 * 3.5 + 1/6 * 4 + 1/6 * 5 + 1/6 * 6 = 4.25

This means that, after the first roll, we can keep that value or throw again with an expected value of 4.25 (using the strategy depicted above). We can roll again if we got a result of 4 or below expecting a higher value or keep a result of 5 or 6.

The strategy can be ssummarized as follows

  • On the first roll, we keep a result of 5 or 6, and roll again if it is 4 or lower
  • On the second roll, we keep any result equal or greater that 4 and we roll again for 1,2 or 3
  • We keep anything we obtained from the third row

The probability of getting 4 or below is 4/6 = 2/3, and the expected value for the second roll onwards is 4.25, hence the expected value of the strategy we pick is

1/6 * 5 + 1/6*6 + 2/3* 4.25 = 4.666 = 14/3

8 0
3 years ago
A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all arou
Arisa [49]

Complete question :

A 12-foot by 15-foot patio is increased by placing a stone border around the patio. The width of the border is the same all around the patio.The perimeter of the patio after it is expanded is 74 feet. The equation which represents x, the width of the border is 2[(12+2x)+15+2x)]=74. What is the width of the border?

1) 2 1/2 feet

2) 3 feet

4) 5 feet

5) 8 1/2 feet

Answer:

2.5

Step-by-step explanation:

Solving for X in the perimeter equation :

2[(12+2x)+15+2x)]=74

Open the bracket

2[(12 + 2x + 15 + 2x)] = 74

2(27 + 4x) = 74

54 + 8x = 74

8x = 74 - 54

8x = 20

x = 20/8

x = 2.5

Hence, width fo border = 2.5

5 0
2 years ago
Which shows one way to determine the factors of y3 – 9x2 + 5x – 45 by grouping
Gnoma [55]

Answer:

(x²+5)(x-9)

Step-by-step explanation:

Assuming that you are asking to factor by grouping:

x³ - 9x² + 5x – 45

You can group:

x²(x-9) + 5(x-9)

and then combine the x² and 5:

(x²+5)(x-9)

4 0
3 years ago
Apply the square root principle to solve (x-5)^2-40=0
Nitella [24]

Answer: {5 ± 2√10, 5 - 2√10}

Step-by-step explanation: First isolate the binomial squared by adding 40 to both sides to get (x - 5)² = 40.

Next, square root both sides to get x - 5 = ± √40.

Notice that root of 40 can be broken down to 2√10.

So we have x - 5 = ± 2√10.

To get <em>x</em> by itself, add 5 to both sides to get x = 5 ± 2√10.

So our answer is just {5 ± 2√10, 5 - 2√10}.

As a matter of form, the number will always come before the

radical term in your answer to these types of problems.

In other words, we use 5 ± 2√10 instead of ± 2√10 + 5.

4 0
3 years ago
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