What is the expected value of the spinner? And is the game fair? Correct answer gets brainiest!
1 answer:
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Answer:
a) Not parallel to y-axis
b) Not parallel to y-axis
c) Parallel to y-axis
Step-by-step explanation:
The best way to check whether a line passing through two points is parlle to y-axis is by plotting them on graph.
The equation of line:
a) The line joining the points (4,12) and ( 6,12) is not parallel to y-axis.
It is parallel to x-axis. Another two points that can lie on this line are : (5,12) and (,12).
b) The line joining the points is not parallel to y-axis.
Equation of line:
Another points that could be lie on this line are (0.6,2) and (0.25,1.475)
c) The line joining the points is parallel to y-axis because points have the same x-coordinate.
Another points that could be lie on this line are (0.8,2) and (0.8,2.1)
To find the gradient of the tangent, we must first differentiate the function.
The gradient at x = 0 is given by evaluating f'(0).
The derivative of the function at this point is negative, which tells us <em>the function is decreasing at that point</em>.
The tangent to the line is a straight line, so we will have a linear equation of the form y = mx + c. We know the gradient, m, is equal to -1, so
Now we need to substitute a point on the tangent into this equation to find c. We know a point when x = 0 lies on here. To find the y-coordinate of this point we need to evaluate f(0).
So the point (0, -1) lies on the tangent. Substituting into the tangent equation: