Analyze the function’s graph to determine which statement is true.
2 answers:
Let us examine the given statements:
1. Over the interval [-2.5, 0.5], the local maximum is 2.
TRUE
2. As the x-values go to positive infinity, the function's values go to
negative infinity.
The opposite happens.
FALSE
3. The function is decreasing over the interval (-1, 0.75).
The function decreases in (-1, 0), but it increases in (0, 0.75).
FALSE
4. The function is negative for the interval [-2, 0].
The function is positive in [-2, -1). It is negative only in (-1, 0].
FALSE
1. Over the interval [-2.5, 0.5], the local maximum is 2.
TRUE
2. As the x-values go to positive infinity, the function's values go to
negative infinity.
The opposite happens.
FALSE
3. The function is decreasing over the interval (-1, 0.75).
The function decreases in (-1, 0), but it increases in (0, 0.75).
FALSE
4. The function is negative for the interval [-2, 0].
The function is positive in [-2, -1). It is negative only in (-1, 0].
FALSE
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Answer:
6 swimmers in the first heat can be arranged in 1716 different ways.
Step-by-step explanation:
A swim meet has 13 contestants signed up. To calculate the arrangement of first 6 swimmers in first heat we will use combinations because order doesn't matter.
So to select 6 swimmers out of 13 contestants number of different ways
=
=
=
=
=
= 1716
Therefore, 6 swimmers in the first heat can be arranged in 1716 different ways.
36(3.14) = 4/3 x 3.14 x r^3
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3
Check: 3^3(
)(4/3) = 27(3.14)(4/3) = 113.04
113.04 = 4.187(r^3)
113.04/4.187 = r^3
26.997 = r^3
3√26.997 = r
r = ~3
Check: 3^3(