Which statement shows how two polynomials 4x2 and x2 + 3x + 7 demonstrate the closure property when multiplied?

1 answer:

4 0

By definition we have to:
A set has under an operation if performance of that operation on set members always produces a member of the same set; in this case we also say that the set is closed under the operation.
For this case we have the following polynomials:
$4x ^ 2

x ^ 2 + 3x + 7$
Multiplying we have:
$(4x ^ 2) (x ^ 2 + 3x + 7) = 4x ^ 4 + 12x ^ 3 + 28x ^ 2
$
The product of two polynomials is also a polynomial.
Answer:
d $4x ^ 4 + 12x ^ 3 + 28x ^ 2$ is a polynomial

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X + 1.5x - 0.75 = 73 what is the value of x?

Natasha_Volkova [10]

X + 1.5x - 0.75 = 73
2.5x - 0.75 = 73
2.5x = 73 + 0.75
2.5x = 73.75
x = 29.5

The answer is: x = 29.5.

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One mole of a chemical element contains approximately 6.02 × 1023 atoms. How many atoms are present in 4.6 × 104 moles of oxygen

Paraphin [41]

Answer:

B. 2.77 · 10^28

Step-by-step explanation:

The total number of atoms is ...

(6.02·10^23 atoms/mol)·(4.6·10^4 mol) = (6.02·4.6)·10^(23+4) atoms

≈ 27.7·10^27 atoms

≈ 2.77·10^28 atoms . . . . . . put in scientific notation form

_____

Scientific notation has one non-zero digit to the left of the decimal point and the exponent adjusted accordingly.

Your calculator can help you figure this out. If necessary, put the display into scientific notation mode. (For numbers this size, it is usually not necessary.)