For the same equation x² – 9x + 20 = 0, what is αβ?
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For ax² + bx + c = 0, the product of roots is c/a.
Here, 20/1 = 20.
Practice Pakistan questions with answers and explanations.
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For ax² + bx + c = 0, the product of roots is c/a.
Here, 20/1 = 20.
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Substitute x = -4 into the expression.
Then y = 3(-4) - 2 = -14.
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Slope-intercept form is y = mx + c.
With m = 2 and c = 3, the equation is y = 2x + 3.
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A point with x = 0 gives the y-intercept 4.
Using y = mx + c with m = -1 gives y = -x + 4.
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The sum of the roots is 6.
Their average is 6/2 = 3.
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At 3:00, the minute hand points at 12 and the hour hand at 3.
Three hour intervals correspond to 3 × 30° = 90°.
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The extreme value 48 pulls the mean upward.
The median is resistant to the outlier and better represents the center.
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The weighted total is 1×2 + 2×3 + 3×5 = 23.
There are 10 observations, so the mean is 2.3.
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Pie-chart size is proportional to sector angle.
The largest angle, 108°, represents the largest part.
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The six-month total is 6 × 80 = 480 mm.
The missing month is 480 - 370 = 110 mm.
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The total is 400 people.
Males represent 240/400 × 100 = 60%.
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The increase is 25 on a base of 125.
Thus, 25/125 × 100 = 20%.