Translate the sentence to an equation x minus 6 is 7

Work out the formula for the nth term of the<br>quadratic sequence:<br>5, 11, 19, 29

Sladkaya [172]

Answer:

n squared + 3n + 1

Step-by-step explanation:

5,11,19,29

Firstly look at the difference between each number. The first difference is 6 then 8 then 10 etc. After that you look at your created sequence - 6,8,10 etc. The difference is 2 each time. Then applying rules, you have to do the constant difference divided by 2 to get a coefficient of n squared. So in this case it's n squared because 2/2 = 1 so you don't have to place a 1 in front of the n squared. After you create a sequence from the n squared. That would be 1,4,9 etc. Then you need to see how to get from the sequence: 1,4,9 etc to your original sequence: 5,11,19 etc. So if you calculate it you will get 4,7,10 because firstly 5-1 = 4 then 11-4 = 7 etc. The sequence 4,7,10 is a linear sequence so the constant difference is 3 each time. So to get a nth term of a linear sequence you will start off as 3n then you will substitute 1 then 2 then 3 into the 3n. Therefore that would be 3,6 etc. So if you take the first substituted term, that would be 3 as said before then you will have to see how to get from the 3 to 4 so that is just adding 1. So the nth term of this linear sequence is 3n + 1. Check if it works at the end. So the overall nth term of the quadratic sequence is n squared as said before + 3n + 1.

8 0

3 years ago

Please answer both question fully.

BARSIC [14]

Step-by-step explanation:

<u>Angle measures:</u>

a = x = z = 51° (as vertical angles and corresponding angles)
b = d = y = w = 180° - 51° = 129° (as supplementary angles and corresponding angles)

Supplementary angles for a linear pair and sum to 180°.

<u>Examples are:</u>

a and b or
a and d or
x and y etc.

7 0

2 years ago

Read 2 more answers

Mr. Arju wishs to purchase a house . to buy the house he needs to make a down payment of nu.300000 and also pay nu.15000 every q

mojhsa [17]

Answer:

The price of the house is $ 853,735.05.

Step-by-step explanation:

Since Mr. Arju wishes to purchase a house, and to buy the house he needs to make a down payment of $ 300,000 and also pay $ 15,000 every quarter for the next 8 years, if the interest charge is 9% per year compounded quarterly, to determine what is the price of the house, the following calculation must be performed:

300,000 + (15,000 x 12 x 8) = X

300,000 + (180,000 x 8) = X

300,000 + 1,440,000 = X

1,740,000 = X

X x (1 + 0.09 / 4) ^ 8x4 = 1,740,000

X x (1 + 0.0225) ^ 32 = 1,740,000

X x 1.0225 ^ 32 = 1,740,000

X x 2.0381030257737 = 1,740,000

X = 1,740,000 / 2.03810

X = 853,735.05

Therefore, the price of the house is $ 853,735.05.

5 0

3 years ago

Answer correctly and fast to get brainliest! Tony bought a sweatshirt with an original price of $48, and he then used a coupon f

storchak [24]

Answer: If it's something like who got the better deal then Tony did.

Step-by-step explanation: The reason I say that is the fact that the 20% off made the sweatshirt $38.40 cause $9.60 was taken off!

3 0

3 years ago

How do you calculate quadratic regression by hand

irinina [24]

you can use calculator because it shows the graph and table.

4 0

3 years ago