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lbvjy [14]
3 years ago
15

If the polynomial x5 − 105 can be split as the product of the polynomials x − 10 and a, what is a? x4 − 99,990 x4 + 10x3 + 100x2

+ 1,000x − 10,000 x4 + 10x3 + 100x2 + 1,000x + 10,000

Mathematics
2 answers:
katrin2010 [14]3 years ago
3 0
X^4+10x^3+100x^2+1000x+10000
nordsb [41]3 years ago
3 0

Answer:

x^4 + 10x^3 + 100x^2 + 1,000x + 10,000

Step-by-step explanation:

Here, the given polynomial,

x^5-10^5

Since, it can be split as the product of the polynomials x − 10 and a,

So, we can write,

a(x-10) = x^5-10^5

\implies a = \frac{x^5-10^5}{x-10}

By the long division ( shown below ),

We get,

a=x^4 + 10x^3 + 100x^2 + 1,000x + 10,000

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Heeeeelppp please, :) please
lara [203]

Answer:

7/6

Step-by-step explanation:

In order to find slope when you have two ordered pairs, you use this equation: (y2-y1)/(x2-x1)

In this case, when you plug them in, you get (49-7)/(42-6), which is 42/36, which is 7/6.

Hope this helped :)

4 0
3 years ago
A high speed train travels a distance of 503 km in 3 hours.
tensa zangetsu [6.8K]

The average speed, in km/minute, of the train is 2.79 km/minute

<h3>Calculating average speed </h3>

From the question, we are to calculate the average speed in km/minute

From the given information,

Distance travelled = 503 km

Time taken = 3 hours = 3 × 60 minutes = 180 minutes

Using the average speed formula,

Average speed = Distance / Time

∴ Average speed of the train = 503 / 180

Average speed of the train = 2.79 km/minute

Hence, the average speed, in km/minute, of the train is 2.79 km/minute

Learn more on Calculating average speed here: brainly.com/question/12025128

#SPJ1

3 0
2 years ago
What is the quotation of 7^-1/7^2
Temka [501]

Answer:

  • 7^-3

Step-by-step explanation:

<u>Solving in steps</u>

  • 7^-1/7^2 =
  • 7^-1 × 7^-2 =
  • 7^(-1 - 2) =
  • 7^-3
3 0
3 years ago
You want to have $25,000 for a down payment on a house 6 years from now. if you can earn 6.5 percent, compounded annually, on yo
STatiana [176]
Use compound interest formula:
Future value, F 
25000=P(1+i)^n
where
P=present value to be found
i=annual interest rate = 0.065
n=number of years = 6
so
25000=P(1.065)^6
=>
P=(25000/1.065^6)=$17133.353
6 0
3 years ago
0.5 is 5 % of what number ?
Mrrafil [7]
It would be .10 bc they are both decimals
5 0
3 years ago
Read 2 more answers
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