The answer to this is ...
D. (-1, 5)
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Answer:
Y = -2X + 7
Step-by-step explanation:
Y = a(x-h)^2 + k
From (h,k) h = 0 k = 7 x = 2 y = 3
3 = a(2-0) + 7
3 = 2a - 0 + 7
Collect like terms
2a = 3 - 7
2a = -4
Divide both sides by 2
2a/2 = -4/2
a = -2
y = a(x-h) + k
y = -2(x-0) + 7
y = -2x + 0 + 7
y = -2x + 7 or
y + 2x - 7 = 0
There may be more than one solution, but if we take the difference between the numbers of the sequence, we get
3-1, 11-3, 43-11
=2,8,32
which are powers of 2
=2^1, 2^3,2^5
If we believe the next difference is 2^7=128, then the next in the sequence will be 43+128=171
Answer:
The bottom left system of equations has no solutions.
Step-by-step explanation:
A solution to the system of equations is a point where the graphs of equations intersect, because the intersection point represents a point that is common to both equations; Therefore, a system that has no solutions, will have graphs that will never intersect.
Now, looking at the 4 graphs given, we see that the upper-left graph represents lines which intersect; therefore, this system has a solution.
The upper-right graph represents only one equation and not a system—it could well be that the red line hides another line that is exactly beneath it, in which case the system would have infinitely many solutions.
The bottom-left graph represents lines that are parallel—they are never going to meet; therefore, this system has no solutions.
The bottom-right graph represents lines that have a point of intersect, and therefore, have a solution.
Thus only the bottom-right graph has no solutions.
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