The function h(x) is defined as shown.
2 answers:
9514 1404 393
Answer:
(b) h(x) ≤ 5
Step-by-step explanation:
The maximum vertical extent of the graph is h(x) = 5 at x = 3. The range is all values of h(x) less than or equal to that:
h(x) ≤ 5
Answer: Choice B
The range is
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Explanation:
If we graph y = x+2, but only draw the line for x values smaller than 3, then we'll end up with the red line shown in the diagram below.
The blue line is the graph of y = -x+8, but it's only drawn when
The two lines form an upside down V shape. This is an absolute value graph.
The highest point is at the vertex (3,5). The y coordinate is y = 5. This tells us that the largest h(x) can get is h(x) = 5.
Therefore, the range is
This is the same as saying since y and h(x) are both outputs of a function.
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Full Question
<em>Of the cartons produced by a company, 10% have a puncture, 6% have a smashed corner, and 0.4% have both a puncture and a smashed corner. Find the probability that a randomly selected carton has a puncture or a smashed corner. The probability that a randomly selected carton has a puncture or a smashed corner nothing ____%. (Type an integer or a decimal. Do not round.)</em>
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Answer:
Step-by-step explanation:
Given
Required
For non-mutually exclusive event described above, P(Punctured or Smashed Corner) can be calculated as thus;
Substitute:
10% for P(Puncture Corner),
6% for P(Smashed Corner) and
0.4% for P(Punctured and Smashed Corner)
Convert % to fraction
Convert to decimal