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Answer:
9 White marbles are present in the bag.
Step-by-step explanation:
Let the number of White marbles present in the bag be X and number of Yellow marbles present be Y .
Then according to the question ,
X + Y = 16 -(1) (As total marbles are 16)
Also,
X = 2Y - 5 -(2)
From Equation 1 , X = 16 - Y , Comparing with Equation 2 , we get,
16 - Y = 2Y - 5
3Y = 21.
Y = 7.
So, X = 16 - Y = 16 - 7 = 9.
Thus, 9 White marbles are present in the bag.
One way to solve this would be to graph both y=x^2+6x+18 and y=2 - 1/x. If the graph of the polynomial is always higher up (above) the graph of y=2-1/x, that alone is sufficient cause to state that the poly is always greater than 2-1/x.
You could also do this algebraically: write the inequality
x^2+6x+18 > 2 -1/x. This can be rewritten as x^2+6x+18-2+1/x > 0, or
x^2+6x+16+1/x > 0
Try x=-3. Then 9-18+16-1/3 = 6 2/3, which is greater than 0.
Or you could graph x^2+6x+16+1/x by hand or on a calculator. Is the graph always above the x-axis? If so, <span>x²+6x+18 is always greater than 2-1/x.
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6 + (10 x 2) = 26 = (12+1)*2