Answer:
Step-by-step explanation:
<u>As per the given graph we have:</u>
Function f with dotted line (> or < sign), increasing function (slope is positive), y-intercept of -1 and shaded area A is to the right (so < sign), so this represents the inequality:
Function g with solid line (≥ or ≤ sign), decreasing function (slope is negative), y-intercept is 4 and shaded area B is to the left (so ≤ sign), so this represents the inequality:
<u>Correct system is C:</u>
Answer: x = 4.5
Step-by-step explanation:
1) Reorder the terms:
3x = -9 + 5x
2) Solving
3x = -9 + 5x
3) Solving for variable 'x'.
4) Move all terms containing x to the left, all other terms to the right.
5) Add '-5x' to each side of the equation.
3x + -5x = -9 + 5x + -5x
6) Combine like terms: 3x + -5x = -2x
-2x = -9 + 5x + -5x
7) Combine like terms: 5x + -5x = 0
-2x = -9 + 0
-2x = -9
8) Divide each side by '-2'.
x = 4.5
9) Simplifying
x = 4.5
Answer:
7
Step-by-step explanation:
Answer:
C. (-1, 2)
Step-by-step explanation:
The midpoint has coordinates that are the average of the endpoint coordinates. If the endpoints are A and B, and the midpoint is M, the equation for this is ...
M = (A+B)/2
Solving for B, we get ...
2M = A + B
2M - A = B
This tells us we can find the other endpoint by subtracting the coordinates of the given endpoint from twice the midpoint coordinates. (It is useful to remember this.)
B = 2(1, -2) - (3, -6) = (2-3, 2(-2)-(-6)) = (-1, 2)
The other endpoint is (-1, 2).
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You can also graph the points and find one as far from center as the given endpoint is.
