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Vlad [161]
2 years ago
15

Struggling with compare functions and need lots of help

Mathematics
1 answer:
vodomira [7]2 years ago
3 0

Answer:

B

Step-by-step explanation:

the slope of a line is a measure of its rate of change

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = 2x - 4 ← is in slope- intercept form

with slope m = 2 and y- intercept c = - 4

calculate the slope of the function represented in the table using the slope formula

m = \frac{y_{2}-y_{1}  }{x_{2}-x_{1}  }

with (x₁, y₁ ) = (0, - 4) and (x₂, y₂ ) = (2, - 3) ← 2 ordered pairs from the table

m = \frac{-3-(-4)}{2-0} = \frac{-3+4}{2} = \frac{1}{2}

the y- intercept is on the y- axis where x = 0

from the table the point (0, - 4 ) has x = 0 , then c = - 4

Thus the 2 functions have the same y- intercepts but different rates of change , that is option B

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Answer:

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Step-by-step explanation:

Given

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List out the multiples of the time of both security personnel take round.

Security\ A = 2\frac{1}{3}min,\ 4\frac{2}{3}min,\ 7min,\ 9\frac{1}{3}min,\ 11\frac{2}{3}min...

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In the above lists, the common time is:

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A geometric sequence combining them is: An = f(n)*g(n) = 500*[9/10]^(n-1):

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