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11Alexandr11 [23.1K]
3 years ago
6

How can i factor this? x^(2n)-2x^(n)+1

Mathematics
1 answer:
Tasya [4]3 years ago
7 0
You can make it easier by replacing x^n with another variable, factoring, then putting x^n back in the end.

Using exponent and algebra rules, rewrite x^2n - 2x^n + 1 as
(x^n)^2 - (2 x x^2) + 1

Then, let x^n = m.

m^2 - 2m + 1

Now factor that: (m - 1)^2

And now put x^n back: (x^n - 1)^2
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the braking distance of a vehicle is directly proportional to the square of its speed. when the speed of the vehicle is b m/s, i
lorasvet [3.4K]
“The breaking distance is directly proportional to the square of its speed”
Using your variables, this means: d = k•b^2
k here is some unknown (and for this question irrelevant) number.

Now if b (the speed) is increased by 200%, then your new speed is b+2b = 3b. The 2b is the 200% increase.

Throw 3b into the first equation we have the new d as:
d = k • (3b)^2

Simplifying this, you have d = k•9b or d=9kb

This means the new braking distance is 9 times the original braking distance.
6 0
2 years ago
Ebony's gross income is $46 660 with allowable tax deductions of $4120. a What is Ebony's taxable income? b Calculate the amount
jasenka [17]

Answer:

(a) Ebony's taxable income = $42,540

(b) Amount of tax due = $5190.3

(c) Amount of tax owed = $4810.3

Step-by-step explanation:

Ebony's gross income = $46,660 (given)

Allowable tax deductions = $4,120 (given)

(a) Taxable Income = Gross income - Tax deductions

Ebony's taxable income = $46,660 - $4,120

Ebony's taxable income = $42,540

(b) Amount of tax due = 22% of Taxable Income,

Refer to the USA Tax Brackets for 2019 (See Attached image)

Amount of tax due = 10% on first $9,700 + 12% on ($39475-$9700) + 22% on  ($42540-$39475).

Amount of tax due = 10% on first $9,700 + 12% on $29775 + 22% on $3065.

Amount of tax due = $970 + $3573 + $647.3

Amount of tax due = $5190.3

(c) Ebony pays $95 per week in tax. In four weeks (a month), she'd pay

$95 * 4 = $380

Amount of tax owed = Amount of tax due - Amount of tax paid

Amount of tax owed = $5190.3 - $380 = $4810.3

3 0
3 years ago
Find the value of x.
KatRina [158]
The value of x=x because x can be anything, it can even be a negative or a fraction but mostly a whole or negative number
7 0
3 years ago
Read 2 more answers
6. (6.1H)
miv72 [106K]

Answer:

52 is correct answer ✔️

7 0
3 years ago
Read 2 more answers
She has read 1/5 of the book already what fraction of the book does she need to read now?​
arlik [135]

Answer:

4/5

Step-by-step explanation:

1-1/5=4/5

she still has 4/5 to read

7 0
3 years ago
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