Looking at the equation, you could see that it is in vertex form. Vertex form looks like this: y=a(x-h)^2+k where a is the slope to find the first point away from the origin and (h,k) is the vertex. So, the vertex is (3,-1). The first point away from the origin is up two, over one, so the slope is 2. This means that a is 2. One way you could check this is by putting 2 in for a. If you put it into standard form, it would be 2x^2-12x+17. To find the x in the vertex when the equation is in standard form we use -b/2a. So it would give us 3 for x. If we put in 3 for x, we get -1 for y, so the vertex is (3,-1). This means that a is 2. Sorry for this lengthy answer, hope it helps.
5(x+2) is your answer my friend.
The answer is 123,256,912,938.65
Answer:
see explanation
Step-by-step explanation:
there is a difference of - 9 between the 3rd and 4th terms. indicating the sequence could be arithmetic , then
a₂ - a₁ = a₃ - a₂ , that is
k - 17 = - 1 - k ( add k to both sides )
2k - 17 = - 1 ( add 17 to both sides )
2k = 16 ( divide both sides by 2 )
k = 8
The sequence is 17, 8, - 1, - 10
The nth term of an arithmetic sequence is
= a₁ + (n - 1)d
where a₁ is the first term and d the common difference
Here a₁ = 17 and d = - 9 , then
= 17 - 9(n - 1) = 17 - 9n + 9 = 26 - 9n
The answer is 1 because any non - zero expression raised to the power of 0 equals 1.
~~
I hope that helps you out!!
Any more questions, please feel free to ask me and I will gladly help you out!!
~Zoey
