The solution to the original equation is 1, 1/6
<h3>Solving equation</h3>
Equations are expressions separated by mathematical operations.
Given the equation below
x/x − 1 = 6x + 1/x − 1
From the given expression, the least common denominator is x -1
Multiply both sides by x-1 to have;
x = 6x(x-1) +1
Expand
x = 6x^2-6x + 1
Equate to zero
6x^2-6x-x + 1 = 0
6x^2-7x +1= 0
The resulting quadratic equation in general form is 6x^2-7x +1 = 0
Factorize
6x^2 -6x-x + 1 = 0
Group the result
6x(x-1)-1(x-1) = 0
(6x-1)(x-1) = 0
6x - 1 = 0 and x -1 = 0
x = 1 and 1/6
Hence the solution to the original equation is 1, 1/6
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Answer:
(-1,-4)
Step-by-step explanation:
Because it is a rotation that turns both the x and y values the two swap places. The x value become negative because before it was in quadrant 4 where there was still a positive chance but rotating the point clockwise puts it into the third quadrant where there are only negatives.
$208
Steps:
10% of 130 is 13
13 x 6 would give you 60%
13 x 6 is 78
60% = 78
130 + 78 = 208
Answer:
Uranium-234 is an isotope of uranium. In natural uranium and in uranium ore, U-234 occurs as an indirect decay product of uranium-238, but it makes up only 0.0055% (55 parts per million) of the raw uranium because its half-life of just 245,500 years is only about 1/18,000 as long as that of U-238.
Step-by-step explanation:
The percentage of the average yearly wage is 7.53%.
<h3>What are percentages?</h3>
Percentage can be described as a fraction of an amount that is usually expressed as a number out of hundred.
<h3>What is the percentage of the average yearly wage?</h3>
Percent = (amount spent on family holiday / total yearly wage) x 100
(1644 / 21842) x 100 = 7.53%
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