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3 years ago

Determine which expressions are polynomials. Explain your reasoning.

Mathematics

1 answer:

jek_recluse [69]3 years ago

3 0

Answer:

Step-by-step explanation:

A polynomial is an expression containing two or more algebraic terms. They are often the sum of several terms containing different powers (exponents) of variables and never contains square roots or division by a variable.

In your case, option A contains square root, thus this expression is not a polynomial. Option C contains division by a variable, thus this is not a polynomial too.

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How to evaluate the integral

Papessa [141]

Remember
for F(x) is the antiderivitive of f(x)
$\int\limits^a_b {f(x)} \, dx =F(a)-F(b)$
so find the antiderivitive of ((x+1)^2)/x

if we expand we get (x^2+2x+1)/x which simplifies to x+2+(1/x)
the anti-deritivive of x is (1/2)x^2
the antideritiveve of 2 is 2x
the antideritivieve of 1/x is ln|x|

F(x)=(1/2)x^2+2x+ln|x|+C

$\int\limits^2_1 { \frac{(x+1)^2}{x} } \, dx =F(2)-F(1)$

F(1)=(5/2)+ln1+C
F(2)=6+ln2+C

F(2)-F(1)=6+ln2+C-(5/2+ln1+C)
F(2)-F(1)=(7/2)+ln2
that is the answer
if you want is simplified or expanded it is about 4.1915

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2 years ago

Is 8.4 an irrational number?

zhannawk [14.2K]

No because it is a terminating decimal

3 0

3 years ago

Read 2 more answers

Find a third angle of a right triangle if one of the angles measures 24°.

WITCHER [35]

Well from what we know about triangle is that they all add up to 180 degrees!

A right triangle would have a 90 degree angle and from the given measurements we know that the other on is 24 degrees.

So we simply subtract!!

180 - 90 = 90 degrees

90 - 24 = 66 degrees

So the measure of the third angle is 66 degrees. :)

Hope this helps. c:

3 0

3 years ago

Express 5.26 x 10^6 in standard form.

Alex

Answer:

5260000x

Step-by-step explanation:

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2 years ago

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An airline knows that 5 percent of the people making reservations on a certain flight will not show up. Consequently, their poli

kenny6666 [7]

Answer:

the probability that there will be a seat available for every passenger who shows up is 0.74

Step-by-step explanation:

if the probability of choosing a passenger that will not show up is 5% , then the probability of choosing a passenger that will show up is 95%.

Denoting event X= x passengers will show up from the total of 52 that purchased the ticket

Then P(X) follows a binomial probability distribution, since each passenger is independent from others. Thus

P(X) = n!/((n-x)!*x!)*p^x*(1-p)^(n-x)

where

n= total number of passengers hat purchased the ticket= 52

p= probability of choosing a passenger that will show up

x = number of passengers that will show up

therefore the probability that the number does not exceed the limit of 50 passengers is:

P(X≤50)= ∑P(X=i) from i=0 to i=50 =F(50)

where F(x) is the cumulative binomial probability distribution, then from tables:

P(X≤50)= F(50) = 0.74

therefore the probability that there will be a seat available for every passenger who shows up is 0.74

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3 years ago