<span>y=2(1)+5,,, y=2+5 then y=7 (1,7).....y=2(2)+5,,,y=4+5 then y=9 (2,9) .....y=2(3)+5,,, y=6+5 then y=11 (3,11)........ y=2(4)+5,,,,y=8+5 then y=13 (4,13) when solving for the y you just have to substitute the values of the x given one by one ..... for the ordered pairs -.... ex. in first equation the given value of x is 1..... so we know that is the value of x and by substituting you can find the value of y which turned to be 7 ,,, to write it (1,7) 1 is the x and 7 is the y ((x,y)
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Answer:
(x + 3)(2x + 5)
Step-by-step explanation:
Given
2x² + 11x + 15
Consider the factors of the product of the coefficient of the x² term and the constant term which sum to give the coefficient of the x- term
product = 2 × 15 = 30 and sum = + 11
The factors are + 6 and + 5
Use these factors to split the x- term
2x² + 6x + 5x + 15 ( factor the first/second and third/fourth terms )
= 2x(x + 3) + 5(x + 3) ← factor out (x + 3) from each term
= (x + 3)(2x + 5)
Answer:
3, 8, 13, 18, 23
Step-by-step explanation:
The recursive definition tells you the first term is 3, and that each successive term is 5 more than the one before. 5 terms are ...
3, 8, 13, 18, 23
SOLUTION
From the sequence give
–3, 1, 5, 9, . . .
The first term, a = -3
The common difference, d = 4 (gotten by adding 4 to the next term).
The number of terms required n = 6.
Formula for sum of an arithmetic sequence is given by
![S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack](https://tex.z-dn.net/?f=S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Clbrack2a%2B%28n-1%29d%5Crbrack)
Substituting these values into the equation above we have
![\begin{gathered} S_n=\frac{n}{2}\lbrack2a+(n-1)d\rbrack \\ S_6=\frac{6}{2}\lbrack2\times-3+(6-1)4\rbrack \\ S_6=3\lbrack-6+(5)4\rbrack \\ S_6=3\lbrack-6+20\rbrack \\ S_6=3\lbrack14\rbrack \\ S_6=42 \end{gathered}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20S_n%3D%5Cfrac%7Bn%7D%7B2%7D%5Clbrack2a%2B%28n-1%29d%5Crbrack%20%5C%5C%20S_6%3D%5Cfrac%7B6%7D%7B2%7D%5Clbrack2%5Ctimes-3%2B%286-1%294%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack-6%2B%285%294%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack-6%2B20%5Crbrack%20%5C%5C%20S_6%3D3%5Clbrack14%5Crbrack%20%5C%5C%20S_6%3D42%20%5Cend%7Bgathered%7D)
Hence, the answer is 42, option B