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icang [17]
3 years ago
8

Use the rule to write the first five terms of the pattern . rule :add 8, subtract 4. first term :13

Mathematics
2 answers:
Vesna [10]3 years ago
4 0

Answer:

13, 21, 17, 25, 21, 29

Step-by-step explanation:

We have to write first five terms of a sequence.

We are given the following information:

The first term of series = 13

The rule to get the next term of the sequence:

Add 8 and then subtract 13

The sequence is as follows:

1^{st}~ term = 13\\2^{nd}~ term = 13 + 8 = 21\\3^{rd}~term = 21 - 4 = 17\\4^{th}~term = 17 + 8 = 25\\5^{th}~term = 25 - 4 = 21\\6^{th}~term = 21 + 8 = 29

These are the required next five terms of the given sequence.

Gnesinka [82]3 years ago
3 0
1. 17  
2. 21
3. 25
4. 29
5. 33
Just take the 13, then add 8, then subtract 4, then with what you got keep going on to the next term.
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Michael Chan leaves a dock in his motorboat and travels at an average speed of 9 mph toward the Isle of Shoals, a small island o
horsena [70]

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

<h3>What is the distance?</h3>

Distance is the movement of an object regardless of direction. The distance can be defined as the amount of length an object has covered, regardless of its starting or ending position

We know that r × t = d

r = rate of speed

t = time

d = distance

For the motor boat

9 × t = d = rate × time

For the tour boat

27 × (t - 2) = d = rate × time

When they both cover the same distance in the same amount of time, they will eventually cross paths.

They both cover the same d-mile distance, so:

9 ×t = 27 × (t - 2)

Simplify to get:

9 × t = 27 × t - 54

18 t = 54

t = 3

The motor boat will have traveled at 9 mph for 3 hours to make a distance of 9 × 3 = 27 miles.

The tour boat will have traveled at 27 mph for 1 hour to make a distance of 1 × 27 = 27 miles.

Since the motor boat left the dock 2 hours before the tour boat, their meeting point will be 27 miles from the dock from which both boats departed after 3 hours.

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8 0
2 years ago
100 points!!!
Bogdan [553]

Answer:

(1, 5)

Step-by-step explanation:

The solution to the system of equations is the point of intersection of the two lines.  From inspection of the graph, the point of intersection is at (1, 5).

<u>Proof</u>

The solution to a system of equations is the point at which the two lines meet.  

⇒ g(x) = f(x)

⇒ 3x + 2 = |x - 4| + 2

⇒ 3x = |x - 4|

⇒ 3x = x - 4   and   3x = -(x - 4)

⇒ 3x = x - 4

⇒ 2x = -4

⇒ x = -2

Inputting x = -2 into the 2 equations:

⇒ g(-2) = 3 · -2 + 2 = -4

⇒ f(-2) = |-2 - 4| + 2 = 8

Therefore, as the y-values are different, x = -2 is NOT a solution

⇒ 3x = -(x - 4)

⇒ 3x = 4 - x

⇒ 4x = 4

⇒ x = 1

Inputting x = 1 into the 2 equations:

⇒ g(1) = 3 · 1 + 2 = 5

⇒ f(1) = |1 - 4| + 2 = 5

Therefore, as the y-values are the same, x = 1  IS a solution

and the solution is (1, 5)

8 0
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Answer:

A 7,4.5

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