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Maths-

General

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Question

$3 x squared plus b x plus 5 equals 0$
For the quadratic equation shown, b is a constant. If the equation has no real solutions, which of the following must be true?

$b^{2} < 60$
$b^{2} > 60$
$b < 0$
$b > 0$

The correct answer is: $b squared less than 60$

Given , the equation is $3 x squared plus b x plus 5 equals 0$
Upon comparison we get $a equals 3 semicolon space b equals b text and end text c equals 5$
$b squared minus 4 a c less than 0 not stretchy rightwards double arrow b squared minus 4 left parenthesis 3 right parenthesis left parenthesis 5 right parenthesis less than 0 not stretchy rightwards double arrow b squared less than 60$

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An airplane uses approximately 5 gallons of fuel per mile flown. If the plane has 60,000 gallons of fuel at the beginning of a trip and flies at an average speed of 550 miles per hour, which of the following functions estimates the amount of remaining fuel A (t), in gallons, hours after the trip began?

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$y equals left parenthesis x plus 3 right parenthesis left parenthesis x minus 7 right parenthesis$
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The procedure was applied to a new sample of 9.00 milliliters of the liquid mixture to extract component C. Due to the loss of volume from the procedure, the extracted volume of component was only 90.0% of the original volume of this component. What was the extracted volume of component C, in milliliters?
Percentage of Components in a Liquid Mixture, by Volume

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parallel

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