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tigry1 [53]
3 years ago
9

The quotient of (x5 – 3x3 – 3x2 – 10x + 15) and a polynomial is (x2 – 5). What is the polynomial?

Mathematics
1 answer:
natita [175]3 years ago
7 0

Answer:

x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

Step-by-step explanation:

(x⁵ – 3x³ – 3x² – 10x + 15) ˣ (x² – 5) = x⁷ – 8x⁵ – 3x⁴ + 15x³ + 20x² + 10x – 75

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the alabama river is 729 miles. if 1 mile equals 1.61 kilometers, find the length of the river to the nearest whole kilometer. (
Gekata [30.6K]
1 times 729=729 so

1mile=1.61kiloneter
multiply both sides by 729 to get 729 miles on left side
729 miles=1173.69 kilometer

whole
1173.6
6>5 so round up
1174


answer is 1174 kilometer
4 0
4 years ago
How do I factor x^4-5x^2+6?
Vilka [71]

Answer:

=(x^2-3)(x^2-2)

Step-by-step explanation:

So we have the expression:

x^4-5x^2+6

And we wish to factor it.

First, let's make a substitution. Let's let u be equal to x². Therefore, our expression is now:

=u^2-5u+6

This is a technique called quadratic u-substitution. Now, we can factor in this form.

We can use the numbers -3 and -2. So:

=u^2-2u-3u+6

For the first two terms, factor out a u.

For the last two terms, factor out a -3. So:

=u(u-2)-3(u-2)

Grouping:

=(u-3)(u-2)

Now, substitute back the x² for u:

=(x^2-3)(x^2-2)

And this is the simplest form.

And we're done!

3 0
3 years ago
Neeeeeed heeelp plz!!!
Blababa [14]
                             |
                             |__x_- 4___________              2x³/2x² =x
   2x² + 2x +3        | 2x³ - 6x² +7x +3
                            - (<span>2x³ +2x² +3x)
</span>                                      -8x² +4x  +3                -8x²/2x² = -4
                                    <span>-(-8x² -8x  -12)
</span>                                              12x +15

(x-4) + (12x +15)/(2x² + 2x +3) 
6 0
3 years ago
Kevin drove for 4 hours and then stopped to eat dinner. The total distance he had driven at different time intervals is shown on
natta225 [31]

Answer:

If you want a simple average, you can add all the speeds you see and divide them by the number of how many they are.  

So firstly you have to calculate the speed of the first point, which is:  

20 miles/0.5 hour

That means: 40 miles/hour

That would be your first "speed"

Then you calculate all of them :speed1+speed2+speed3 = something.  

As an example: 20miles/hr + 40miles/hr+0miles/hr = 60miles/hr

Then, you divide it by how many "speeds" they are: 60miles/hr divided by 3 if I continue my previous example.

It is my first answer, and I hope I could help you a bit!

Sorry for the awkward English, as it is not my mother tongue.

Step-by-step explanation:

8 0
3 years ago
Two in-line skaters, Nell and Kristin, start from the same point and skate in the same direction. Nell skates at 16 miles per ho
Paha777 [63]
First, we count how far reached the Nell:
3,5 * 16 = 56 miles

Secondly, we count how far reached the Kristin:
3,5 * 18 = 63 miles

Now we expect the difference in the distance between them:
63 - 56 = 7 miles

The results that Kristin about seven miles driven more than Nell.
8 0
3 years ago
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