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dezmondpowell
28.09.2019 •
Mathematics
Aseries of tile patters is shown below. consider the function that represents the number of white tiles in each figure.
select all the statements that are true
-w(n)=4n+4 represents the function.
-w(n)=4n+8 represents the function.
-input values for the function are natural numbers.
-input values for the function are the number of white tiles in each figure.
-the function is continuous.
-figure 6 will have 10 white tiles.
-figure 8 will have 36 white tiles.
Solved
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Ответ:
• W(n)=4n+4 represents the function.
• Input values for the function are natural numbers.
• Figure 8 will have 36 white tiles
Step-by-step explanation:
–W(n)=4n+4 represents the function.
TRUE - For figure 1, this function gives W(1) = 4·1+4 = 8, the number of white tiles. It also gives correct values for the other figures shown.
___
–W(n)=4n+8 represents the function.
FALSE - See the other W(n) function above. This function does not give correct values for the figures shown.
___
–Input values for the function are natural numbers.
TRUE - the figures are numbered using natural numbers, so natural numbers are the input to the function
___
–Input values for the function are the number of white tiles in each figure.
FALSE - The description of the function is that the number of white tiles is its output, not its input.
___
–The function is continuous.
FALSE - the domain of the function is natural numbers. It is undefined for numbers other than that, so is not continuous.
___
–Figure 6 will have 10 white tiles.
FALSE - using the definition of W(n) above, we find W(6) = 28, not 10.
___
–Figure 8 will have 36 white tiles.
TRUE - W(8) = 36
Ответ:
Step-by-step explanation: