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disa [49]
3 years ago
12

(x^3+43-49x-7x^2)/(x^2-49)

Mathematics
2 answers:
GaryK [48]3 years ago
7 0
(X-7) is an answer and -300 is the reminder
liraira [26]3 years ago
7 0

Answer:

Quotient = x - 7,

Remainder = -300.

Step-by-step explanation:

Here, the given expression,

\frac{x^3+43-49x-7x^2}{x^2-49}

=\frac{x^3-7x^2-49x+43}{x^2-49}

By the long division ( shown below ), we get,

\frac{x^3-7x^2-49x+43}{x^2-49}=x-7-\frac{300}{x^2-49}

Hence, in the given division problem,

Quotient = x - 7,  

Remainder = -300.

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Solve the system of linear equations by adding or subtracting. Show all work!
Thepotemich [5.8K]

Answer:

x = -2, y = -2

Step-by-step explanation:

Your goal is to try and cancel out a variable. I want to get rid of y so i subtracted the first equation from the second one.

After that I solve for x and got x=-2.

I used x=-2 and plugged it back into either of the equation to solve for y.

4 0
3 years ago
How can you tell if a function is linear?
neonofarm [45]

Linear functions are usually of degree 1. They are a straight line. y=mx+b

3 0
3 years ago
Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

Girl

Total

  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

             Car         No car      Total

Boys      18%                         30%

Girls

Total

By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

8 0
3 years ago
How do you integrate <br><img src="https://tex.z-dn.net/?f=%283x%5E%7B2%7D%20%20%2B%203%29%20%5E%7B3%7D%20" id="TexFormula1" tit
Phoenix [80]

Answer:

Since i don't know what formula is mentioned. I just used the easiest way to solve :)

Step-by-step explanation:

(3x^2 + 3)^3 = (3x^2)^3 + 3^3 + 3((3x^2)^2)(3) + 3(3x^2)(3^2)

              = 27x^6 + 27 + 3(9x^4 \times 3) + 3(3x^2 \times 9)\\\\=27x^6 + 27 + 81x^4 + 81x^2\\\\=27x^6  + 81x^4 + 81x^2 + 27\\\\

\int\limits {(3x^2+3)^3} \, dx  = \int\limits {27x^6 + 81x^4+81x^2 + 27} \, dx

                      = \frac{27}{7}x^7 + \frac{81}{5}x^5+\frac{81}{3}x^3 + 27x +C\\\\= \frac{27}{7}x^7 + \frac{81}{5}x^5+27x^3 + 27x +C\\\\

8 0
3 years ago
The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm
Fed [463]

Answer:

Length = 15 cm, width = 12 cm, Perimeter = 54 cm

Step-by-step explanation:

The ratio of the length and breadth of a rectangle is 5:4 and its area is 180 cm².

Length = 5x

Breadth = 4x

Area of rectagle,

A = bl

180 = 5x × 4x

180 = 20x²

x² = 9

x = 3

Length = 5x = 5(3) = 15 cm

Width = 4x = 4(3) = 12 cm

Perimeter of rectangel,

P = 2(l+b)

= 2(15+12)

= 54 cm

Hence, this is the required solution.

6 0
2 years ago
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