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a_sh-v [17]
3 years ago
10

Which is the graph of the step function f(x)? f(x) = StartLayout Enlarged left-brace 1st row 1st column negative 1 2nd column x

less-than negative 1 2nd row 1st column 0 2nd column negative 1 less-than-or-equal-to x less-than-or-equal-to 1 3rd row 1st column 1 2nd column x greater-than 1 EndLayout

Mathematics
1 answer:
Andrews [41]3 years ago
5 0

Answer:

its B

Step-by-step explanation: just took test

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The population of a pigeons in a city is 100 and is growing exponentially at 20% per year. Write a function to represent the pop
NikAS [45]

Answer:

  • p(t) = 100×1.0153^(12t)
  • 1.53% per month

Step-by-step explanation:

In general, the function will be written ...

  p(t) = (initial value)×(growth factor)^t

where t is in units comparable to those applicable to the growth factor. The growth factor is found from ...

  growth factor = 1 + growth rate

Here, the growth rate is given as 20% per year, so the growth factor per year is ...

  1 +20% = 1.20

The initial value is given as 100, so we can write the exponential function as ...

  p(t) = 100×1.20^t

__

The time period units for t are supposed to be years, but we want to find the growth rate for a month. We can do that by recognizing there are 12 months in a year. In the above equation, we can use (1/12)(12t) in place of t, then figure the growth factor (and growth rate) per month.

  p(t) = 100×(1.20^(1/12))^( 12t)

  p(t) = 100×1.0153^(12t) . . . . population exponential function

This shows the monthly growth factor is 1.0153, so the monthly rate of change (growth rate) is ...

  1.0153 -1 = 0.0153 = 1.53% . . . . monthly rate of change

5 0
2 years ago
Read 2 more answers
The cost of 6 movie tickets is $57.00. What is the cost of 8 movie tickets?
Rudiy27

Answer:

Step-by-step explanation:

57 divided by 6 = 7.5

9.5  x  8 = $76

7 0
2 years ago
What is the slope of the line represented by the equation 2x+3y= –122x+3y= –12 ?
atroni [7]
The answer to your question is <span>B.-2/3</span>
4 0
3 years ago
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. Solve the following equations for x: 3x=30
pishuonlain [190]

\mathcal \pink{Answer}

\mathcal \green{3x = 30}

\mathcal \blue{ \frac{3x}{3}  =  \frac{30}{3} }

\mathcal \red{x = 10}

3 0
2 years ago
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May someone please help me?
Vesna [10]

Answer:

The 3rd table

Step-by-step explanation:

The x values are dividing by 5 to  get the y values. The table is proportional because it's a pattern not just random values.

5 0
2 years ago
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