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mel-nik [20]
3 years ago
7

A moving-van rental company uses the polynomial 123.5 + 0.75(m – 190) to calculate the rental charges if a customer drives a van

more than 190 miles in one day. In the polynomial, m is the total number of miles that the customer drove the van during the day. Use the Distributive Property to write an equivalent expression for the total cost of renting the van and driving it more than 190 miles in one day.
Mathematics
1 answer:
iragen [17]3 years ago
8 0

Answer:

The answer is 6

Step-by-step explanation:

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Match each function to its corresponding sequence.
givi [52]

The sequence and their functions are:

  • f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....
  • f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....
  • f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

<h3>How to match the functions?</h3>

To do this, we simply set values for n and calculate the function values using the current value of n.

So, we have:

<u>Function 1: f(n) = f(n - 1) + 6n - 5 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6(2) - 5 = 3 + 12 - 5 = 10

Let n = 3

f(3) = f(2) + 6(3) - 5 = 10 + 18 - 5 = 23

None of the sequence follows the pattern 3, 10, 23....

<u>Function 2: f(n) = f(n - 1) + 2n - 1 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 2(2) - 1 = 3 + 4 - 1 = 6

Let n = 3

f(3) = f(2) + 2(3) - 1 = 6 + 6 - 1 = 11

None of the sequence follows the pattern 3, 6, 11....

<u>Function 3: f(n) = f(n - 1) + 6 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 6 = 3 + 6 = 9

Let n = 3

f(3) = f(2) + 6 = 9 + 6 = 15

None of the sequence follows the pattern 3, 9, 15....

<u>Function 4: f(n) = f(n - 1) + 7 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 7 = 3 + 7 = 10

Let n = 3, 4 and 5

f(3) = f(2) + 7 = 10 + 7 = 17

f(4) = f(3) + 7 = 17 + 7 = 24

f(5) = f(4) + 7 = 24 + 7 = 31

So, we have:

f(n) = f(n - 1) + 7 ⇒ 3, 10, 17, 24, 31.....

<u>Function 5: f(n) = f(n - 1) + 4n - 2 where f(1) = 3</u>

Let n = 2

f(2) = f(1) + 4(2) - 2 = 3 + 8 - 2 = 9

Let n = 3, 4 and 5

f(3) = f(2) + 4(3) - 2 = 9 + 12 - 2 = 19

f(4) = f(3) + 4(4) - 2 = 19 + 16 - 2 = 33

f(5) = f(4) + 4(5) - 2 = 33 + 20 - 2 = 51

So, we have:

f(n) = f(n - 1) + 4n - 2 ⇒ 3, 9, 19, 33, 51.....

<u>Function 6: f(n) = 2[f(n - 1)] where f(1) = 3</u>

Let n = 2

f(2) = 2 * f(1) = 2 * 3 = 6

Let n = 3, 4 and 5

f(3) = 2 * f(2) = 2 * 6 = 12

f(4) = 2 * f(3) = 2 * 12 = 24

f(5) = 2 * f(4) = 2 * 24 = 48

So, we have:

f(n) = 2[f(n - 1)] ⇒ 3, 6, 12, 24, 48.....

Read more about sequence at:

brainly.com/question/6561461

#SPJ1

7 0
2 years ago
HELP I WILL GIVE BRAINLIEST
ddd [48]
False because it is only showing the quarter
4 0
3 years ago
Which two values are located at the same point on a number line? 1/2 and 2 , 2/2 2 , 2/1 2 , 2/1 and 1
grandymaker [24]

Answer:  \frac{2}{2},1\ \text{and}\ \frac{2}{2},1

Step-by-step explanation:

\Rightarrow \dfrac{2}{2}\ \text{is equivalent to 1}

\text{So, }\ \dfrac{2}{2},2\ \text{is equivalent to 1,2}

\text{Similarly, }\ \dfrac{2}{1},1\ \text{represents 2,1 or 1,2}

\text{So,}\ \frac{2}{2},1\ \text{and}\ \frac{2}{2},1\ \text{are represents same on number line.}

8 0
2 years ago
Item 1 A bag contains 7 blue cards, 4 green cards, 6 red cards, and 8 yellow cards. You randomly choose a card. a. How many poss
katrin [286]

Answer:

66

Step-by-step explanation:

8 0
3 years ago
PLSSS HELP IF YOU TURLY KNOW THISS
Anna71 [15]

Answer:

c. diameter

because when a line intersects the center and even touches the centre is called a diameter

hope it helps.

6 0
2 years ago
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