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nadezda [96]
3 years ago
12

Solve:

Mathematics
1 answer:
Basile [38]3 years ago
3 0
\cfrac{25x^5+10x^2}{5x} = \cfrac{5x(5x^4+2x)}{5x} =5x^4+2x
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Find the square roots by division method of 210,681 please tell me
padilas [110]

Answer:

  459

Step-by-step explanation:

The "long division method" algorithm for square root makes use of the relation described by the square of a binomial.

  (a +b)² = a² +2ab +b² = a² +b(2a +b)

<h3>Steps</h3>

The value for which the root is desired is written with digits marked off in pairs either side of the decimal point.

The initial digit of the root is the integer part of the square root of the most-significant pair. Here that is floor(√21) = 4. This is shown in the "quotient" spot above the leftmost pair. The square of this value is subtracted, and the next pair brought down for consideration. Here, that means the next "dividend" is 506.

The next "divisor" will be 2 times the "quotient" so far, with space left for a least-significant digit. Here, that means 506 will be divided by 80 + some digits. As in regular long division, determining the missing digit involves a certain amount of "guess and check." We find that the greatest value 'b' that will give b(80+b) ≤ 506 is b=5. This is the next "quotient" digit and is placed above the "dividend" pair 06. The product 5(85) = 425 is subtracted from 506, and the next "dividend" pair is appended to the result. This makes the next "dividend" equal to 8181.

As in the previous step, the next "divisor is 2 times the quotient so far: 2×45 = 90, with space left for the least significant digit. 8181 will be divided by 900-something with a "quotient" of 9. So, we subtract the product 9(909) = 8181 from the "dividend" 8181 to get the next "dividend." That result is zero, so we're finished.

The root found here is 459.

__

<em>Additional comment</em>

In practice, roots are often computed using iterative methods, with some function providing a "starter value" for the iteration. Some iterative methods can nearly double the number of good significant digits in the root at each iteration.

Using this "long division method," each "iteration" adds a single significant digit to the root. Its advantage is that it always works, and is generally suitable for finding roots by hand. Once the number of root digits begins to get large, the "divisor" starts to be unwieldy.

8 0
1 year ago
An airline charges 150 for a ticket and 20 for each bag.
Scorpion4ik [409]

it will be C

Answer:

C = 20b + 150

Step-by-step explanation:

because it's 150 for a ticket for each 20 bags. depending on how many bags there are, it wi give you the answer of the cost.

7 0
2 years ago
Which of the following could not be true for a function?
MatroZZZ [7]

Answer:

C) Domain is {2}, Range is {2, 3}

Step-by-step explanation:

For one value of x there are two values of y, which contradicts the definition of a function.

Definition of a function:

A function is an equation for which any x that can be plugged into the equation will yield exactly one y out of the equation.

<em>All the other options follow this definition except C</em>

3 0
3 years ago
Read 2 more answers
Look at the steps used when solving 4(x−3) = 8
azamat

step 2 i believe is the answer

3 0
3 years ago
Read 2 more answers
The lcm of 165xy and 77x 3 y is _____. 1,155x 3y 11xy 12,705x 4y 2 105x 3y
trapecia [35]
The least common multiple (LCM) can be determined by factoring out the terms first,
                             165xy = (3)(11)(5)(x)(y)
                              77x³y = (7)(11)(x)(x)(x)(y)
Copy the factors writing off the repeated factors only once,
                        LCM = (3)(11)(5)(x)(y)(7)(x)(x)= 1155x³y
The answer is 1155x³y (first choice) 
4 0
2 years ago
Read 2 more answers
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