Solve the problem.The approximate monthly average temperatures in degrees Fahrenheit in a certain city can be approximated by the function f(x) = -0.005x6 + 0.31x4 - 6.14x2 + 83with domain {x|-6 ? x ? 6}. Here x represents the month with x = 0 corresponding to July. What is the average temperature (rounded to the nearest degree) in January?
A. 30°F
B. 35°F
C. 40°F
D. 45°F
Answer: A
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Solve the absolute value inequality. Write your answer in interval notation.|4x - 3| ? 0
A. 
B. 
C. ?
D. 
? 
Choose the best estimate from the list.29
+ 21
is approximately 50, 50
, 50
, 50
.
A. 50
B. 50
C. 50
D. 50
Provide an appropriate response.(x - 4)2 =
A. x2 + 8x + 16 B. x2 - 16 C. x2 - 8x + 16 D. x2 + 4x - 16 E. x2 - 4x + 16
Mark as true any statement that is always true. Mark as false any statement that is never true or that is not necessarily true. Be able to justify your answers.
1. If a statement is true then its contrapositive must also be true. 2. If p ? q and q ? r then r ? p. 3. The statement “if p then q” can be read as “q only if p.” 4. If a statement is false, then its converse must also be false. 5. If ?MAD ? ?ROC, then ?DMA ? ?ORC. 6. If two triangles are congruent, then there are exactly three pairs congruent parts—the corresponding angle pairs. 7. In ABC, if AB ? BC then ?BAC ? ?ACB. 8. If AB ? XY , BC ? YZ and ?ABC ? ?XYZ then ?ABC ? ?XYZ 9. In ABC, ABC CBA by corresponding parts (C.P.) 10. If PQ bisects AB, then AP ? BP. 11. To construct a copy of AB, we begin by drawing a new line. 12. The construction of a perpendicular bisector of a segment requires three arcs and one line. 13. The construction of the bisector of an angle requires three arcs and one line.