Solving Quadratic Equations By Using The Quadratic Formula Worksheet With Answers Page 25
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419-5 Solving Quadratic Equations by Using the Quadratic Formula
[-3. 48] scl: 5, by [-2, 68] scl: 7
2
42. TRAFFIC The equation d = 0.05v
+ 1.1v models the distance d in feet it takes a car traveling at a speed of v miles
per hour to come to a complete stop. If Hannah’s car stopped after 250 feet on a highway with a speed limit of 65
miles per hour, was she speeding? Explain your reasoning.
SOLUTION:
Write the equation in standard form.
For this equation, a = 0.05, b = 1.1, and c = –250.
No, she was not speeding; Sample answer: Hannah was traveling at about 61 mph, so she was not speeding.
Without graphing, determine the number of x-intercepts of the graph of the related function for each
function.
2
43. 4.25x + 3 = −3x
SOLUTION:
Write the equation in standard form.
For this equation, a = 3, b = 4.25, and c = 3.
The discriminant is –17.9.
Since the discriminant is negative, the graph of the function will not have any x-intercepts.
44.
SOLUTION:
Write the equation in standard form.
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Page 25
For this equation, a = 1, b =
, and c =
.
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