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Allisa [31]
3 years ago
6

Use long or synthetic division to find the following quotients (x^3+2x^2!22x-45)÷(x+5) ​

Mathematics
1 answer:
svetoff [14.1K]3 years ago
7 0

Answer:

\boxed{\textsf{ The quotient is $\sf x^2-3x-7$ and the remainder is (-10).}}

Step-by-step explanation:

Here we will be using long division method to find the quotient . Here we need to divide (x³+2x²-22x-45) and (x+5) . So lets divide .

x+5) x³+2x²-22x-45 ( x² -3x -7

x³ + 5x²

- -

______________

- 3x²-22x -45

-3x² -15x

+ +

______________

-7x -45

-7x -35

______________

-10

<u>Quotient</u><u> </u>= x² -3x -7

<u>Remainder </u>= (-10)

<h3><u>★</u><u>Hence </u><u>the</u><u> </u><u>quotient</u><u> </u><u>is </u><u>x²</u><u> </u><u>-3x </u><u>-</u><u>7</u><u> </u><u>and </u><u>the</u><u> </u><u>remainder</u><u> </u><u>is </u><u>(</u><u>-</u><u>1</u><u>0</u><u>)</u><u> </u><u>.</u></h3>
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denis-greek [22]

Answer:

The probability that he teleports at least once a day =  \mathbf{\frac{5}{9}}

Step-by-step explanation:

Given -

Evan lives in Stormwind City and works as an engineer in the city of ironforge in the morning he has three Transportation options teleport ride a dragon or walk to work and in the evening he has the same three choices for his trip home.

Total no of outcomes = 3

P( He not choose teleport in the morning ) = \frac{2}{3}

P( He not choose teleport in the evening ) = \frac{2}{3}

P ( he choose teleports at least once a day ) = 1 - P ( he not  choose teleports in a day )

                                                         = 1 - P( He not choose teleport in the morning ) \times P( He not choose teleport in the evening )

                                          =  1 - \frac{2}{3}\times\frac{2}{3}

                                           =  \frac{5}{9}

3 0
3 years ago
Jasper made a flag for his football team. He painted 1/2 of the flag blue and 1/2 of the flag yellow. He added stars to 1/3 of t
SVETLANKA909090 [29]

For this case we have that half of the flag was painted blue and the other half yellow.

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\frac {1} {2} * \frac {1} {3} = \frac {1} {6}

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6 0
3 years ago
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KATRIN_1 [288]
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3 0
3 years ago
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Maksim231197 [3]

Answer:

Its B

Step-by-step explanation:

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3 0
2 years ago
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iren2701 [21]

Answer:

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I hope im right!!!

4 0
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