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NeTakaya
3 years ago
10

In an arithmetic sequence, a17 = -40 and a28 = -73. explain how to use this information to write a recursive formula for this se

quence.
Mathematics
2 answers:
hjlf3 years ago
6 0

Answer:

The difference between the given terms is

–73 – (–40) = –33.

The difference between the term numbers is 28 – 17 = 11.

Dividing –33 / 11 = –3.

The common difference is –3.

The recursive formula is the previous term minus 3, or an = an – 1 - 3 where a17 = -40

Step-by-step explanation:

erma4kov [3.2K]3 years ago
3 0
With the given information you can form a system of equations with the help of the formular for the nth term of an arithmetic sequence. From which you find the first term and the common difference, with which you can wite the recursive formula for the sequence.
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A jeweler had a fixed amount of gold to make bracelets and necklaces. The amount of gold in each bracelet is 6 grams and the amo
nikitadnepr [17]

Answer:

The jeweler made 11 bracelets and 7 necklaces.

Step-by-step explanation:

Given that a jeweler had a fixed amount of gold to make bracelets and necklaces, and the amount of gold in each bracelet is 6 grams and the amount of gold in each necklace is 16 grams, knowing that the jeweler used 178 grams of gold and made 7 more necklaces than bracelets, to determine a system of equations that could be used to determine the number of bracelets made and the number of necklaces made, the following mathematical reasoning should be considered:

(16 - 6) x 7 = 70

178 - 70 = 108

108/6 = 18

18 - 7 = 11

(11 x 6) + (7 x 16) = X

66 + 112 = X

178 = X

Thus, the jeweler made 11 bracelets and 7 necklaces.

4 0
3 years ago
After the drama club sold 100 tickets to a show, it had $300 in profit. After the next show, it had sold a total of 200 tickets
Alinara [238K]

Answer:


Option a :  y-300 = 4(x - 100)


Step-by-step explanation:

Given :

The drama club sold 100 tickets to a show, it had $300 in profit.

The next show, it had sold a total of 200 tickets and had a total of $700 profit.

To Find :  Equation models the total profit, y, based on the number of tickets sold, x

Solution :

For 100 tickets he had $300 in profit .


⇒ (x_{1} ,y_{1})=(100,300)


For 200 tickets he had $700 in profit .


⇒ (x_{2} ,y_{2})=(200,700)


We will use point slope form i.e.


y-y_{1} = m(x - x_{1}) --(A)


Now, to calculate m we will use slope formula :


m = \frac{y_{2} -y_{1} }{x_{2}-x_{1}  }


m = \frac{700 -300}{200-100}


m =4


Now, putting values in (A)


y-300 = 4(x - 100)


Thus Option a is correct i.e. y-300 = 4(x - 100)




5 0
3 years ago
Read 2 more answers
Please answer this I need it aswerd
dsp73
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6 0
3 years ago
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G(x)=x^2-2,find the range for the domain​
solong [7]
Range:[-2,8)
That’s the range for the domain down below

7 0
2 years ago
We used these functions to represent the two sides of the equation:
katrin [286]

The solution to the system of equation graphed is (-1, -3)

<h3>Solution to system of equation</h3>

Given the system of equations graphed on the plane expressed as:

f(x) = 3x

g(x) = 4x + 1

Equate

f(x) = g(x)

3x = 4x + 1

3x - 4x = 1

-x = 1

x = -1

Determine the value of y

y = 3x

y = 3(-1)

y = -3

Hence the solution to the system of equation graphed is (-1, -3)

Learn more on system of equation here: brainly.com/question/847634

#SPJ1

4 0
2 years ago
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