With geometric sequences, if you divide a term by the term before it you'll get the common ratio. That's how they are all constructed, and in this problem:
So -1/4 is our common ratio.
The common ratio of the geometric sequence −320, 80, −20, 5,… is -1/4 or -0.25.
It is defined as the systematic way of representing the data that follows a certain rule of arithmetic.
We have a geometric sequence:
−320, 80, −20, 5,…
As we know, the geometric sequence or progression follows a certain rule of arithmetic.
The common ratio = second term/first term or
First term = -320
Second term = 80
= 80/(-320)
= -1/4
The common ratio = -1/4 or -0.25
Thus, the common ratio of the geometric sequence −320, 80, −20, 5,… is -1/4 or -0.25.
Learn more about the sequence here:
#SPJ5
Answer:
the standard form of a quadratic equation is ax² + bx + c
the vertex form is a(x - h) + k where h & k are the x and y coordinates
to get from standard form to vertex form, you would have to follow this formula to find h:
-b/2a
plug in the values, and you will get the value of h.
to get k, you plug in the value you have just found in the above formula into the original equation, and that is the value of k.
the a in the vertex form is the value of a in the standard form
so an example of this would be: x² + 2x + 4 where a = 1, b = 2 c = 4
to get this into vertex form we will use the formula -b/2a and solve:
-2/2(1) --> -2/2 = -1
now we plug in the value we found into the original equation wherever x is
(-1)² + 2(-1) + 4 --> 1 - 2 + 4 = 3
we have both h and k, and we will put this into vertex form:
a(x - h)² + k turns into ---> (x + 1)² + 3
why x+1 and not x-1? the original equation has a negative sign, and the result we have is negative. this conflicts with the original equation and is therefore turned into a positive 1
where did a go? since a = 1, we do not need to write it, if a was equal to 2 then we would write the 2 in front
Answer:
B, E
Step-by-step explanation:
Given the first function:
A Linear System with no solutions is graphically represented by two parallel lines, therefore with the same slope. So in this case, m has to be equal to -2.
And to this inconsistent system, if the linear parameter is not so relevant. So if m=-2 then b may be either equal to -1/3 or -2/3 according to the options.
Given the alternatives
No Solution System:
Or
Answer:
m = -2 and b = -1/3
m = -2 and b = -2/3.
Step-by-step explanation:
y = -2x - 1/3
y = -2x - 2/3
This system has no solutions because y cannot be 2 different values at once.