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tatuchka [14]
2 years ago
13

Help Please

Mathematics
1 answer:
Norma-Jean [14]2 years ago
5 0

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

<h3>What is an arithmetic sequence?</h3>

An arithmetic sequence is a sequence of integers with its adjacent terms differing with one common difference.

The explicit formula for any arithmetic series is given by the formula,

aₙ = a₁ + (n-1)d

where d is the difference and a₁ is the first term of the sequence.

For the given table of arithmetic progression, the common difference is equal to,

Common difference = (48-16)/(2-1) = 32

Now, the table can be written as,

Time          1          2          3          4          5          6          7

Distance   16       48        80        112       144       176     208

Further, the blanks can be filled as,

a. The values in the table form an arithmetic sequence.

b. The term values are shown in the second row and the term numbers are shown in the first row.

c. This sequence is associated with a linear function.

d. The domain of the function is the set of time values: from 1 to 7.

Learn more about Arithmetic Sequence:

brainly.com/question/3702506

#SPJ1

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timurjin [86]

Answer:

x = \frac{1}{2}

Step-by-step explanation:

Given function;

y = 5 + x - x²

To find the maximum value, follow these steps

(i) Find the first derivative (which is the slope) of the given function with respect to x. i.e;

y^{'} = \frac{dy}{dx} = \frac{d(5 + x - x^2)}{dx}

y^{'} = 1 - 2x

(ii) From the result in (i) determine the value of x for which the slope is zero. i.e.

x for which

1 - 2x = 0

=> 1 = 2x

=> x = \frac{1}{2}

Therefore, the value of x for which the function is maximum is \frac{1}{2}

5 0
4 years ago
Read 2 more answers
1. 6 + 48 / 8* 7 = ?
gladu [14]
E.48 because 6+48/8(7) so 6+(6)(7) then do 6+42=48
8 0
3 years ago
There are currently 4 people signed up to play on a baseball team. The team must have at least 9 players.
stepan [7]

Answer:

B

Step-by-step explanation:

B is correct because it includes 5 and everything higher than that. There needs to be at least 5 more people signing up, and this number line is the only one that shows that, since it includes 5 and more.

5 0
3 years ago
Need help finding the slope line through each pair ​
Kay [80]

Answer:

9) -25/21

11) 14

Step-by-step explanation:

In each case, subtract the y-coordinates. Subtract the x-coordinates in the same order. Divide the difference in y by the difference in x.

9)

y-coordinates: -10 - 15 = -25

x-coordinates = 6 - (-15) = 21

slope = (difference in y)/(difference in x) = -25/21

11)

y-coordinates: -20 - 8 = -28

x-coordinates = 3 - 5 = -2

slope = (difference in y)/(difference in x) = -28/(-2) = 14

8 0
3 years ago
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Lostsunrise [7]

Answer: 50 meters

Step-by-step explanation:

hope this helps :)

6 0
2 years ago
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