Which of these is a formula that can be used to determine the nth term of the arithmetic sequence 15, 27 39 51

an=3+12n

Step-by-step explanation:

The sequence is

15, 27, 39, 51

The first term: a 1 = 15

The common difference of this sequence : d = 27 − 15 = 12

The nth term of an arithmetic sequence is given by formula

an=a+(n−1)d

So a n for this sequence will be:

an = 15 +(n−1) 12

an =(15)+12n−12

an = 3+12n

x = 17

step-by-step explanation:

1st step: isolate x.

24 - 3x = -27

-24         -24

-3x   =   -51

2nd step: divide.

-3x     =   -51

  3             3

  x       =     17

hope this

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1