Provide the proper response.Explain why every polynomial function of the formf(x) = ax3 + bx2 + cx + d, a ? 0, must have exactly one point of inflection.
What will be an ideal response?
Answers may vary. f''(x) = 6ax + 2b, where a and b are real numbers. Setting f''(x) = 0 and solving for x will give you the x-coordinate of the point of inflection.
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Construct an extended frequency distribution for the set of numbers and calculate the mean of the grouped data. Follow the instructions for class width.Use a class width of 0.10 beginning at 0.00. (Hint: The first class is 0.00 - 0.09.)0.620.920.620.610.270.280.270.270.010.010.790.090.770.270.100.720.610.190.720.270.710.110.260.760.92?????
What will be an ideal response?
Calculate the direction of 
and the midpoint of line segment P1P2.P1(4, -8, 7) and P2(5, -7, 6)
A. 
i + 
j - 
k; 
B. 
i + 
j - 
k; 
C. 
i + 
j - 
k; 
D. 
i + 
j + 
k; 
Solve the problem. Round money amounts to the nearest cent.The vehicle maintenance man puts 180 mL of oil into the car engines every day. How many liters are needed for a four-month (30 days/month) supply?
A. 216 L B. 21.6 L C. 21,600 L D. 2160 L
Simplify the rate and write the result in words.
A. 
; 67 students for every 18 teachers
B. 
; 67 students for every 2 teachers
C. 
; 67 teachers for every 2 students
D. 
; 603 students for every 2 teachers