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julia-pushkina [17]
3 years ago
9

I don’t understand the polynomials

Mathematics
1 answer:
Serhud [2]3 years ago
7 0
Polynomial comes from poly- (meaning "many") and -nomial (in this case meaning "term") ... so it says "many terms"

A polynomial can have:

constants (like 3, −20, or ½)
variables (like x and y)
exponents (like the 2 in y2), but only 0, 1, 2, 3, ... etc are allowed
that can be combined using addition, subtraction, multiplication and division ...

... except ...

... not division by a variable (so something like 2/x is right out)

So:

A polynomial can have constants, variables and exponents,
but never division by a variable.

Also they can have one or more terms, but not an infinite number of terms.

These are polynomials:

3x
x − 2
−6y2 − ( 79 )x
3xyz + 3xy2z − 0.1xz − 200y + 0.5
512v5 + 99w5
5
(Yes, "5" is a polynomial, one term is allowed, and it can be just a constant!)



These are not polynomials

3xy-2 is not, because the exponent is "-2" (exponents can only be 0,1,2,...)
2/(x+2) is not, because dividing by a variable is not allowed
1/x is not either
√x is not, because the exponent is "½" (see fractional exponents)


But these are allowed:

x/2 is allowed, because you can divide by a constant
also 3x/8 for the same reason
√2 is allowed, because it is a constant (= 1.4142...etc)
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Write one way to read the expression 1/4×(48+8)​
earnstyle [38]

Answer:

14

Step-by-step explanation:

= 1/4(56)

= 14

step by step

8 0
3 years ago
Explain how solving -7y &gt; 161 is different from solving 7y &gt; -161. <br><br> 15 points
yKpoI14uk [10]

Answer:

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5 0
3 years ago
A set of raw paired sample data is given below. Convert this raw data into paired ranks, and calculate the value of the rs test
SOVA2 [1]

here is the data set for the complete question

x: 18 21 19 21 20 21

y; 2 14 5 6 18 18

Answer:

B. 0.652

Step-by-step explanation:

x   y   rank of x     rank of y   d         d²

18   2     1                1               0          0

21   14    4                4             0          0

19    5     2               2             0          0

21    6     4               3            1            1

20    18    3             5.5         -2.5      6.25

21     18    4             5.5          -1.5       2.25

∑d² = 8.5

rs = 1 - 6[∑di² + ∑m(m²-1)]/n(n²-1)

= 1 - 6[8.5 +{3(3²-10/12 + 2(2² - 1)/12}]/6(6²-1)

= 1 - 0.348

= 0.652

therefore option b is the right answer.

5 0
3 years ago
if 4 men and 1 dog can dig 12 holes in 4 days, and 2 men and 1 dog can dig 4 holes in 2 days, how long will it take 1 man and 2
madam [21]
 The answer is 8 days
3 0
3 years ago
146, 74, 38, 20, ? what would the next number be in this sequence?
Anuta_ua [19.1K]
Looking at the numbers, we can see that the differences are 72, 36, and 18. Notice that they are each factors of the next by the same constant 2.

18 * 2 = 36
36 * 2 = 72

There, it means that 18/2 will be subtracted from 20.

20 - 18/2
= 20 - 9
= 11

The next number in the sequence would be 11. Hope this helps!
3 0
3 years ago
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