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Alchen [17]
3 years ago
13

Explain why the expression 9x^3+1/2x^2+3x^-1 is not a polynomial

Mathematics
1 answer:
Nastasia [14]3 years ago
4 0

Answer:

The given expression can't be expressed in polynomial form. Hence, it is not a polynomial.

Step-by-step explanation:

P(x,n) is a polynomial of nth degree if it is of the form,

P(x,n) = a_{0} + a_{1}x + a_{2}x^{2} + a_{3}x^{3} + ......... +a_{n}x^{n}

where n is a finite positive integer and n ∈ N

and 'a_{i}'s are fixed but otherwise arbitrary constants ∀  i = 0(1)n .

Now, the given expression is,

9x^{3} + \frac {1}{2x^{2}} + 3x^{-1}

which  doesn't fit in the above form. Hence, it is not a polynomial.

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The monthly income of Ram is Rs 40,000. If he paid Rs 8,000 as income tax. Find the rate of income tax.​
frosja888 [35]

Hello!

Rate of income tax = Tax paid / Monthly income

⇒ Rate = 8,000 / 40,000

⇒ Rate = 0.2

⇒ Rate = 20%

∴ The rate of income tax is 20%.

5 0
2 years ago
A random sample of 500 reports an average yearly income of $42,000 with a standard deviation of $1000. An estimate of the parame
Lorico [155]

Answer:

E

Step-by-step explanation:

Confidence Interval = mean + or - error margin

Mean = 42,000, error margin = width of estimate of the parameter ÷ 2 = 175 ÷ 2 = 87.50

We can be 95% confident that the population mean is 42,000 plus or minus 87.50

8 0
3 years ago
The diagram below represents a generic right triangle.
Oksi-84 [34.3K]
Bshould be the answer !
4 0
3 years ago
Daniels is considering two job offers: a full-time permanent position that pays $78,000 annually and a full-time contract job th
WITCHER [35]

Answer:

Option B,contract job

Step-by-step explanation:

It is likely the number of hours in a work week is 40 hours .

With fifty weeks in year 2020 and 10 ten days of Bank Holidays,the gross annual income from the contract full time employment can be computed thus

gross annual income=$40*40*(53-2)=$81,600

The pay is $40 per hour

In a week 40 hours are worked

There are fifty three weeks in the year minus 10 days of holiday which represents 2 working weeks for a Monday to Friday job

The gross annual income for full time permanent role is $78,000

As a result,the full time contract job pays more

                   

5 0
3 years ago
1. 112<br><br> 2. 136 <br><br> 3. 68 <br><br> 4. 158 <br><br> 5. 129
RideAnS [48]

Answer:

4. 158

Step-by-step explanation:

First let's make things a little simpler and put these arcs in terms of x.  We know that the degree measure around the outside of a circle, regardless of its size, is 360.  So let's say that arc BC is x.  That means that arc BDC is 360 - x.  This is because arc BC + arc BDC = 360.  Substituting in our x's we have:

x + 360 - x = 360 and

360 = 360.  (That's just the proof that putting in our x's as we did does in fact work!)

Following the formula then, we have

22=\frac{1}{2}(360-x-x) and

22=\frac{1}{2}(360-2x)

Multiply both sides by 2 to get rid of the fraction and get

44 = 360 - 2x

Subtract 360 rom both sides to get

-316 = -2x

Divide both sides by -2 to get that x = 158

Since we are looking for arc BC and we designated arc BC as our x, that means that arc BC = 158.

3 0
4 years ago
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