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Rudik [331]
3 years ago
7

Which of the following is the explicit rule for the sequence -3, 5, 13, 21 ... *

Mathematics
1 answer:
TiliK225 [7]3 years ago
7 0

Answer:

a_{n} = 8n - 11

Step-by-step explanation:

There is a common difference between consecutive terms in the sequence, that is

5 - (- 3) = 13 - 5 = 21 - 13 = 8

This indicates the sequence is arithmetic with n th term

a_{n} = a₁ + (n - 1)d

where a₁ is the first term and d the common difference

Here a₁ = - 3 and d = 8 , thus

a_{n} = - 3 + 8(n - 1) = - 3 + 8n - 8 = 8n - 11 ← note this is the second option, that is

f(n) = - 3 + 8(n - 1)

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Plug in point values into the distance formula
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3 years ago
A rectangle has side lengths 6 cm. by 9 cm. What would the side lengths of the image
Sauron [17]

Answer:

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Step-by-step explanation:

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3 years ago
A blender that normally costs $ 130 is on sale for 12 % off. What is the final cost of the blender if there is also an 8 % sales
ludmilkaskok [199]

Answer:

The final price of blender after sale off and sales tax = $123.552 A

Step-by-step explanation:

Given as :

The costs of blender = $130

The sale off percentage = 12%

The sales tax applied on blender price = 8%

Now

The cost of blender after sale off = $130 - 12% of $130

The cost of blender after sale off = $130( \frac{100 - 12}{100})

I.e The cost of blender after sale off = $130 × \frac{82}{100} = $114.4

Again, sales tax of 8% is applied after sale off

So, Final price of blender = $114.4 + 8% of $114.4

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I.e Final price of blender = $123.552

Hence the final price of blender after sale off and sales tax = $123.552 Answer

5 0
3 years ago
Mr. Rahman gave 40% of the money he had to his wife. he also gave 20% of the remaining amount to each of his 3 sons. half of the
makkiz [27]

Answer:

53760

Step-by-step explanation:

12000 x 2 = 24000

24000 x .20 = 4800 this is the amount he gave to each of his sons

4800 x 3 = 14400 this is the amount he gave to his sons in total

24000 + 14400 = 38400

38400 x .40 = 15360 this is how much he gave to his wife

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3 years ago
Victoria is in the business of manufacturing phones. She must pay a daily fixed cost to rent the building and equipment, and als
photoshop1234 [79]

Answer:

C(p) = p*50 + 300

Step-by-step explanation:

Using the names:

Clm: cost of labor and materials

Crm: fixed cost on rent and equipment

p: number of phones

and Ct: total cost

the ecuation would be number of phones times the cost and material plus the fixed cost, something like this

p * Clm + Crm = Ct

on the example we have all the data except the rent and equipment cost (the fixed cost) so thats what we need to solve

producing 3 phones its

3 *¨50 + Crm = 450

Crm = 450 - 150 = 300

so replacing in the above formula the equation would be

C(p)=p * 50 + 300

5 0
3 years ago
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