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Nookie1986 [14]
3 years ago
8

Solve for x: 6/x + 2/2x = 8/x + 1/3

Mathematics
1 answer:
KIM [24]3 years ago
6 0
Ans: x=1.590667 or x= -1.257334

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A principal gathered data about the distance in miles that his teachers and bus drivers live from the school
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<em>The measure distances for the bus drivers is 5 miles less than that of distances for the teachers</em>

Step-by-step explanation:

<em>The range of the distance for the bus drivers live from school with that of the teachers is estimated to be 5 miles apart</em>

<em>The data that was generated in the school by the principal did an estimation of the distances of both the bus driver and that of the teachers, it was found out that the distances was five miles. </em>

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Paint is red : blue in a ratio of 2 : 4. if 5 litres of red is used how much blue is used
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10 liters of blue

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3 years ago
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3 years ago
Which of the following is NOT a linear factor of the polynomial function?
Natalija [7]

Answer:

Among the four choices, (x + 5) is the only one that is not a linear factor of this polynomial function.

Step-by-step explanation:

Let a denote some constant. A linear factor of the form (x - a) is a factor of a polynomial f(x) if and only if f(a) = 0 (that is: replacing all x in the polynomial f(x) \! with the constant a\! would give this polynomial a value of 0.)

For example, in the second linear factor (x - 2), the value of the constant is a = 2. Verify that the value of f(2) is indeed 0. (In other words, replacing all x in the polynomial f(x) \! with the constant 2 should give this polynomial a value of 0\!.)

\begin{aligned}f(2) &= 2^3 - 5\times 2^2 - 4 \times 2 + 20 \\ &= 8 - 20 - 8 + 20 \\ &= 0 \end{aligned}.

Hence, (x - 2) is indeed a linear factor of polynomial f(x).

Similarly, it could be verified that (x - 5) and (x + 2) are also linear factors of this polynomial function.

Rewrite the first linear factor (x + 5) in the form (x - a) for some constant a: (x + 5) = (x - (-5)), where a = -5.

Calculate the value of f(5).

\begin{aligned}f(5) &= (-5)^3 - 5\times (-5)^2 - 4 \times (-5) + 20 \\ &= (-125) - 125 + 20 + 20 \\ &= -210\end{aligned}.

f(5) \ne 0 implies that (x - (-5)) (which is equivalent to (x + 5)) isn't a linear factor of this polynomial function.

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3 years ago
In a magic square, the sum of the numbers in any row, column, or diagonal is the same. The square below is a magic square. Two o
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3 years ago
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