A spinner has 7 equal sections which are numbered from 1-7. Which of the following are complementary events? (check all that app
2 answers:
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Answer:
Step-by-step explanation:
+ means we are approaching from the right
- means we are approaching from the left
We are given that if x < 5, it is x² + 5x + 4
So to find we would plug in 5 into that piecewise function part:
5² + 5(5) + 4 = 54
We would be approaching y = 54 if we approach from the left.
We are given that x > 5, it is -4x + 3
So to find we would plug in 5 into that piecewise function part:
-4(5) + 3 = -17
We would approach y = -17 if we approached from the right.
1. The slope is the y-difference divided by the x-difference:
.. m = (5 -5)/(4 -(-3)) = 0
The slope of the line is 0.
2. In point-slope form, the equation is
.. y = -2(x -2) +3
Expanding to slope-intercept form, you have
.. y = -2x +7
3. You can start with point-slope form
.. y = 5(x -0) +2
.. 5x -y = -2 . . . . . standard form
4) The questions seem to relate to a parabola. The given equation is a linear equation. Perhaps you mean
.. y = -3x² +5x +7
a) the negative coefficient of x^2 tells you the graph opens downward.
b) The vertex x-coordinate is -5/(2*(-3)) = 5/6. The y-value of the vertex is
.. (-3*5/6 +5)*5/6 +7 = 5/2*5/6 +7 = 9 1/12
As an ordered pair, the vertex is (x, y) = (5/6, 9 1/12)
.. m = (5 -5)/(4 -(-3)) = 0
The slope of the line is 0.
2. In point-slope form, the equation is
.. y = -2(x -2) +3
Expanding to slope-intercept form, you have
.. y = -2x +7
3. You can start with point-slope form
.. y = 5(x -0) +2
.. 5x -y = -2 . . . . . standard form
4) The questions seem to relate to a parabola. The given equation is a linear equation. Perhaps you mean
.. y = -3x² +5x +7
a) the negative coefficient of x^2 tells you the graph opens downward.
b) The vertex x-coordinate is -5/(2*(-3)) = 5/6. The y-value of the vertex is
.. (-3*5/6 +5)*5/6 +7 = 5/2*5/6 +7 = 9 1/12
As an ordered pair, the vertex is (x, y) = (5/6, 9 1/12)