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3 years ago

What the answers for those questions

Mathematics

1 answer:

Minchanka [31]3 years ago

4 0

The answers are

11. c) 7x² +5x +8 remainder 7.

12. d) 6x² -6x +3 remainder 2x.

Step-by-step explanation:

Step 1; By dividing 7x³ -2x² +3x -1 with x -1 we get the following calculations. We multiply 7x² with x-1 and get 7x³ - 7x². We subtract this from 7x³ -2x² and get 5x². Now we add this with the 3x in 7x³ -2x² +3x -1. We get 5x² +3x. We multiply x -1 with 5x and get 5x² -5x and subtract it from 5x² +3x and get 8x. We multiply the x -1 with 8 and get 8x -8. We subtract this from 8x -1 and get a remainder of 7. So the quotient is 7x² +5x +8 with a remainder of 7.

Step 2; By dividing 6 $x^{4}$ +0x³ -3x² +5x with x² +x we get the following calculations. We multiply 6x² with x² +x and get 6 $x^{4}$ +6x³. We subtract this from 6 $x^{4}$ +0x³ and get -6x³. Now we add this with the -3x² in 6 $x^{4}$ +0x³ -3x² +5x. We get -6x³ -3x². We multiply x² +x with -6x and get -6x³ -6x² and subtract it from -6x³ -3x² and get 3x². We multiply the x² +x with 3 and get 3x² +3x. We subtract this from 3x² +5x and get a remainder of 2x. So the quotient is 6x² -6x +3 with a remainder of 2x.

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Step-by-step explanation:

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2 feet ⇒ no, as 2 + 9 < 12
3 feet ⇒ no, as 3 + 9 = 12
9 feet ⇒ yes
15 feet ⇒ yes
19 feet ⇒ yes
21 feet ⇒ no, as 9 + 12 = 21
30 feet ⇒ no, as 9 + 12 < 30

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Step-by-step explanation:

What we will do is create a table with the data they give us, the first thing will be to organize it from smallest to largest, like this:

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Now we know that the smallest number is 33 and the largest is 50, to create 5 ranges, we will calculate the difference and divide by 5.

(50 - 33) / 5 = 3.4

Therefore we will make ranges of 3 and 4, values, like this

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Rank 3: 40 - 43

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We will calculate the frequency distribution of values in each range:

Rank 1: 6

Rank 2: 4

Rank 3: 10

Rank 4: 3

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