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Delicious77 [7]
3 years ago
14

The function ​f(x)​ is the cost of renting a car where x represents the number of miles driven.

Mathematics
1 answer:
Ghella [55]3 years ago
6 0

Answer:

The correct option is the third: All positive real numbers

Step-by-step explanation:

The domain of this function are all possible values that x can take. If we are talking about the number of miles traveled, these can be as many as the client travels (20.5,  670.23, etc), or zero, if not traveled any. But x can never be less than zero, since it would be absurd for a customer to have traveled -20 miles, for example. Therefore x can take any positive value. The domain of the function is

x> 0

The correct option is the third: All positive real numbers

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A moose population is growing exponentially following the pattern in the table shown below. Assuming that the pattern continues,
EleoNora [17]

Answer:

  •   <u> 7,692 moose.</u>

Explanation:

The table that shows the pattern for this question is:

Time (year) Population

  0                   40

  1                     62

  2                    96

  3                   149

  4                   231

A growing exponentially pattern may be modeled by a function of the form P(x) = P₀(r)ˣ.

Where P₀ represents the initial population (year = 0), r represents the multiplicative growing rate, and P(x0 represents the population at the year x.

Thus you must find both P₀ and r.

<u>1) P₀ </u>

  Using the first term of the sequence (0, 40) you get:

   P(0) = 40 = P₀ (r)⁰ = P₀ (1) = P₀

Then, P₀ = 40

<u>  2) r</u>

Take two consecutive terms of the sequence:

  • P(0) = 40 r⁰ = 40
  • P(1) = 40 r¹ = 40r = 62
  • P(1) / P(0) = 40r / 40 = 62/40
  • r = 62/40 = 1.55

 

You can verify that, for any other two consecutive terms you get the same result: 96/62 ≈ 149/96 ≈ 231/149 ≈ 1.55

<u>3) Model</u>

 

Thus, your model is P(x) = 40(1.55)ˣ

<u> 4) Population of moose after 12 years</u>

  • P(12) = 40 (1.55)¹² ≈ 7,692.019 ≈ 7,692, which is round to the nearest whole number.
7 0
3 years ago
Lexiva is available in 350 mg tablets. How many mg will the patient take in 22 days
Anna11 [10]

Answer:

7700mg

Step-by-step explanation:

Since a tablet is 350mg

For 22days it going to take 350mg x 22 = 7700mg

7 0
3 years ago
I have no idea what it is​
amid [387]

Answer:

answer is option b

2x-3

3 0
3 years ago
What everyday life situation might each of these questions describe?
vitfil [10]

Answer:

I will do A for U

I have 5 apples then got 18 more, so how many apples do I now Have?

Step-by-step explanation:

4 0
2 years ago
Consider the right triangle below.
MaRussiya [10]

Answer:

15 feet, 7.5 square feet

Step-by-step explanation:

Perimeter = 6.5 + 2.5 + 6

= 15 feet

Area = ½ × 2.5 × 6

= 7.5 feet²

4 0
3 years ago
Read 2 more answers
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