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EleoNora [17]
3 years ago
8

Shiloh and her friends spent the day at an amusement park. In the first hour, they rode two rides. After 2 hours, they had ridde

n 4 rides. They had ridden 6 rides after 3 hours.
Write a function to represent the arithmetic sequence.
f(n)=
Mathematics
1 answer:
solmaris [256]3 years ago
4 0

Answer:

The function will be: f(n) = 2n

Step-by-step explanation:

An arithmetic sequence is a sequence where the common difference between consecutive terms is same

The sequence according to given information is:

2,4,6...

Here

a_1 = 2

a_2 = 4

a_3 = 6

the common difference will be:

d = a_2-a_1 = 4-2 = 2\\d = a_3-a_2 = 6-4 = 2

The arithmetic sequence is given by:

a_n = a_1+(n-1)d

Putting the values

a_n = 2+(n-1)(2)\\a_n = 2+2n-2\\a_n = 2n

Hence,

The function will be: f(n) = 2n

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C + 25 - 19 = 100 uggghh
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Answer:

c=6

Step-by-step explanation:

c+25-19=100

isolate variable...

c+25-19+19=100+19

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2 years ago
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Three more than twice a number is less than negative thirteen. Solve the inequality for the unknown number.
Goshia [24]

Answer:

Step-by-step explanation:

The number = x

Three more than the number = x + 3

twice the number = 2x

which means:

           

          2x + 3 < -13

          2x + 3 -3 < -13 -3                 (subtract 3 from both sides)

          2x < -16

          2x/2 < -16/2                       (divide 2 from both sides)

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4 0
2 years ago
Mr. Johnson hired a contractor to build a small deck on the back of his house. The cost of materials alone added to $678.12. Whe
raketka [301]

Answer:

Yes, the bill is absolutely accurate

Step-by-step explanation:

Cost of materials= $ 678.12

Final  bill amount(given)=$1206.12

Rate= $32 per hour for 16.5 hrs

Total amount for 32 hrs = time * rate = 16.5* 32=$528

Therefore, by the problem ,

<em>Cost of materials+ Total amount  for 32 hrs = Final bill amount</em>

= 678.12+ 528

=1206.12

<u>Therefore , the final bill amount is 100% accurate as it completely matches with the given bill amount</u>

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3 years ago
What are the real roots of 2x^3-42x-40
malfutka [58]
2x^3-42x-40=0
2x^3-42x=40
2x(x^2-21)=40
a. 2x=40=>x=20
b. x^2=21+40=>x^2=61=>x=+-(radical(61)
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3 years ago
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