B. (-m)^n
C. (-1)m^(n + 1)
D. (-1)m^(n - 1)
Answer:
A. m(-1)^(n-1)
Step-by-step explanation:
The degree of m doesn't change so none of the expressions with n as an exponent of m can possibly be correct. That leaves only choice A.
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You will find that when alternating signs are required, the term (-1)^n will be a factor. An offset of ±1 can be added to the n to make the initial sign be what you want. Here we want +1 for n=1, so an exponent of (n-1) is appropriate.
The general term for the sequence m, -m, m, -m, ... is m(-1)^(n-1). This is correct because -1 when raised to an odd power gives -1, and when raised to an even power gives 1, ensuring alternation between m and -m.
The question refers to a sequence where the terms alternate between positive and negative values of m. The general term that describes such a sequence is m(-1)^(n-1).
This term works because when raised to an odd power, -1 gives -1, and when raised to an even power, -1 gives 1. Thus, the expression alternates between m and -m for different values of n.
For instance, when n is 1, the term is m; when n is 2, the term is -m; when n is 3, the term is m; and so on. Therefore, the correct answer is option A: m(-1)^(n-1).
#SPJ12
Answer:
6:1
Step-by-step explanation:
48:( 4+4 )
= 48:8
= 6:1
2.(7,5)
3.(-7,-5)
4.(5,7)
Answer:
First find the slope of the straight line, m=(Y2-Y1)/(X2-X1)=(17–7)/(-5–0)=-2.
Using the standard equation of a straight line, y=mx+b, we know that m=-2.
Thus, so far we know that y=-2x+b.
Now plug in the coordinates of either of the above points, that we know do lie on the straight line, into our equation, y=-2x+b, and solve for b.
I will use the first point, (0,7), to get 7=(-2)(0)+b.
Solving for b, we see that b=7.
Therefore, the equation of the straight line is y=-2x+7.
It is a good idea to check your answer on a graphing calculator.
Answer: 50 grams
Step-by-step explanation:
11=0.22 a
A =50
Which of the following is the first correct step to write the above equation in the form (x - p)2 = 9, where p and q are integers?
x2 - 14x + 41 + 8 = 0 + 8
x2 - 14x + 41 + 9 = 0 + 9
x2 - 14x + 41 - 8 = 0 - 8
x2 – 14x + 41 - 9 = 0 - 9
Answer:
The correct answer is the first option
Step-by-step explanation:
Quadratic Equation
The standard form of a quadratic equation is
Sometimes we need to change the expression of the same equation to the form
To accomplish that change, we usually modify the left-hand expression to make it look like the square of a binomial.
The given quadratic equation is
Recall the square of a binomial is
The first term is already present. The second term gives us the value of p:
Solving
Now we need to produce the third term . We only have 41, thus we need to add 8 to both sides of the equation:
The correct answer is the first option
Not sure if I’m right or wrong
Answer: (0, -6)
Step-by-step explanation: When finding the coordinates of a given point, be very careful with your signs.
On the x-axis, left means negative and right means positive and
on the y-axis, down means negative and up means positive.
So to find the coordinates for point C, we start at the origin
which is where the x-axis and y-axis intercept.
So, we go 0 units to the left or right and 6 units down.
So that's (0, -6).
Remember that the first number in the ordered pair represents the x-coordinate or how far we move to the left or right from the origin and the second number represents the y-coordinate or how far we move up or down from the origin.
Answer:
x always comes first so that is 0
then it is y and that is -6 so the answer is (0,-6) aka B
IF i could get brainliest that would be great