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Butoxors [25]
4 years ago
12

Which algebraic expression is a polynomial? 4x2 – 3x + StartFraction 2 Over x EndFraction –6x3 + x2 – StartRoot 5 EndRoot 8x2 +

StartRoot x EndRoot –2x4 + StartFraction 3 Over 2 x EndFraction
Mathematics
2 answers:
rusak2 [61]4 years ago
7 0

Answer:

The Answer is B

Step-by-step explanation:

Veseljchak [2.6K]4 years ago
3 0

Answer:

B.-6x^3+x^2-\sqrt5

Step-by-step explanation:

Polynomial of one variable:It is that expression in which power of each variable in the given should be a whole number.The highest power of variable is called degree of polynomial.

Power of  variable in given terms cannot be negative or fraction.

A.4x^2-3x+\frac{2}{x}

It can be write as

4x^2-3x+2x^{-1}

By definition of polynomial of one variable , it is not a polynomial.

B.-6x^3+x^2-\sqrt5

By definition of polynomial of one variable , it is a  polynomial.

C.8x^2+\sqrt{x}

By definition of polynomial of one variable, it is not  a polynomial.

D.-2x^4+\frac{3}{2x}

By definition of polynomial of one variable,it is not  a polynomial.

Hence, option B is true.

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Allied Corporation is trying to sell its new machines to Ajax. Allied claims that the machine will pay for itself since the time
kvasek [131]

Answer:

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

Step-by-step explanation:

We must evaluate the differences of the means of the two machines, to do so, we will assume a CI  of 95%, and as the interest is to find out if the new machine has better performance ( machine has a bigger efficiency or the new machine produces more units per unit of time than the old one) the test will be a one tail-test (to the left).

New machine

Sample mean                  x₁ =    25

Sample variance               s₁  = 27

Sample size                       n₁  = 45

Old machine

Sample mean                    x₂ =  23  

Sample variance               s₂  = 7,56

Sample size                       n₂  = 36

Test Hypothesis:

Null hypothesis                         H₀             x₂  -  x₁  = d = 0

Alternative hypothesis             Hₐ            x₂  -  x₁  <  0

CI = 90 %  ⇒  α =  10 %     α = 0,1      z(c) = - 1,28

To calculate z(s)

z(s)  =  ( x₂  -  x₁ ) / √s₁² / n₁  +  s₂² / n₂

s₁  = 27     ⇒    s₁²  =  729

n₁  = 45    ⇒   s₁² / n₁    = 16,2

s₂  = 7,56   ⇒    s₂²  = 57,15

n₂  = 36     ⇒    s₂² / n₂  =  1,5876

√s₁² / n₁  +  s₂² / n₂  =  √ 16,2  + 1.5876    = 4,2175

z(s) = (23 - 25 )/4,2175

z(s)  =  - 0,4742

Comparing z(s) and  z(c)

|z(s)| < | z(c)|  

z(s) is in the acceptance region. We accept H₀  we did not find a significantly difference in the performance of the two machines therefore we suggest not to buy a new machine

The very hight dispersion of values s₁ = 27 is evidence of frecuent values quite far from the mean

3 0
3 years ago
The length of a rectangle is 3 meters less than 3 times the width. the perimeter is 58 meters. find the width.
diamong [38]
If I'm correct 40.5 meters

5 0
3 years ago
Given 6 terms what is the sum of 10+25+40+...+85
sdas [7]
Sn = n/2 ( a1+an)
= 6/2 (10+85)
= 3 (95)
= 285
3 0
3 years ago
Find all Pythagorean triangles with a side of length 24. Does there exist one with a hypotenuse of length 24?
alisha [4.7K]

It could. But the other leg would have to be a square root.

4 0
3 years ago
On one trip 82 people and 49 cars rode the ferry. About how much money did the ferry service collect for the one trip?
Allisa [31]
Need to know how much per person and how much per car..
to answer your question you will do it like this:
82×a(amount per person)=b
49×c (amount per car)=d
b+d= total amount for one trip
7 0
3 years ago
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