In the table below, classify each highlighted value.
?
x
- 3
- 2
- 1
0
1
2
y
-3
0
1
0
5
4
5
-2
1
2
1
4
3
4
-1
0
1
0
5
4
5
0
4
5
4
5
5
7
1
3
4
3
5
6
7
2
4
5
4
5
5
7
?
A. a saddle point
B. a relative maximum
C. a relative minimum
D. none of these
Answer: B
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Determine if the proportion is true or false. =
A. True B. False
Write the partial fraction decomposition of the rational expression.
A. +
B. +
C. +
D. +
Solve the problem.One television has a rectangular screen that is 9 inches by 16 inches. Another has a rectangular screen that is 6 inches by 10 inches. The size of a television set is commonly given by the length of the screen's diagonal. What is the difference of the diagonal lengths for these two sets?
A. ( + 2
) in.
B. in.
C. ( - 2
) in.
D. 201 in.
Provide an appropriate response.The series of sketches below starts with an equilateral triangle having sides of length 1 (one). In the following steps, equilateral triangles are constructed by joining the midpoints of the sides of the preceding triangle. Develop a formula for the area of the nth new triangle. Use math induction to prove your answer.
What will be an ideal response?