Answer: D) (x, y) > (x -3, y +3)
Step-by-step explanation: You can check by using an original point, let’s say D. It’s at (0, -3). Subtract 3 for x (left and right) and add 3 for the y (up and down). This means it will be (-3, 0) and that’s the new point that it’s at on the graph.
A.) the 15th day, because you would the less common multiple is 15 of 3 and 5.
Answer: f(x) and g(x) are inverses of each other
<u>Step-by-step explanation:</u>
To find the inverse of a function, swap the x's and y's and then solve for "y"
f(x) = 5x + 2
y = 5x + 2
Swap:
x = 5y + 2
<u> -2 </u> <u> - 2 </u>
x - 2 = 5y
<u>÷5 </u> <u>÷5 </u>
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Answer:
It's the last choice:
2x + y - 1 = 0.
Step-by-step explanation:
x - 2y - 3 = 0
Convert to slope-intercept form in order to find the slope:
-2y = -x + 3
y = 1/2x - 3/2
So the slope is 1/2. The slope of a line perpendicular to this is -1 / 1/2 = -2.
Using the point-slope form to find the required equation:
y - y1 = m(x - x1)
x = 4 and y = -7 so we have:
y + 7 = -2(x - 4)
y + 7 = -2x + 8
2x + y - 1 = 0 is the answer.
