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MrRissso [65]
3 years ago
13

PLS I NEED HELP BRAINLIEST IS UP FOR GRABS

Mathematics
1 answer:
Gwar [14]3 years ago
7 0

Answer:

(a) x > 4   (b) y < -2

Step-by-step explanation:

Domain is referring to the x-values while the range is referring to the y-values.

Since the function (the line) has a circle at the point (4, -2), the function will be exclusive at that coordinate.

The line goes to infinity for the x-values from 4, so you write x > 4 or ∞ > x > 4.

Similarly, the line goes to infinity for the y-values from -2, so you write y < -2 or -∞ < y < -2.

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Under what circumstances does the system of equations Qx+Ry=S and Y=Tx+S have infinitely many solutions?
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From these -Tx+y=S. If -T=Q/R, then y=-Qx/R+S, so Ry=-Qx+RS, Qx+Ry=RS=S.
If R is not equal to 1, or S is non-zero, the equations are inconsistent, so there would be no solutions.
If R=1 there are an infinite number of solutions given by Qx+y=S, or y=S-Qx or y=S+Tx.
If S=0, Qx+Ry=0 or y=-Qx/R or y=Tx.
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