This will be a Experimental probability as you are performing a small observation and selecting the favorable outcomes based on your observation.
Probability based on experiments or observation made in given scenario is known as experimental probability.
So, the answer is option A
All are correct except these 2:
The graph has one x-intercept:
No, the graph does not cut at the x-axis at all, there is no x-intercept.
The graph as a y-intercept at (5,0):
No, the y-intercept is at (0,5)
Answer:
Step-by-step explanation:
We're going to leave the right side alone and work on the left side. In other words we are going to use a series of substitutions for these trig idenitites and get the left side manipulated to look like the right side.
Begin with the fact that sin(2x) = 2sin(x)cos(x) and make that first substitution:
2sin(x)cos(x) - tan(x) = right side
Now use the fact that the tangent is the same as the sin over the cos:
= right side
Now find a common denominator of cos(x) by multiplying the 2sin(x)cos(x) by cos(x) and writing the whole mess over that common denominator:
= right side
Now factor out a sin(x):
= right side
If we "split" that up and simplify at the same time, we'll see that sin(x) ovr cos(x) is the same as the tan(x), and that 2cos^2 - 1 is the same as cos(2x):
and that the left side now is the same as the right side. You MUST learn to recongize these identities. I'll attach a copy that I made and give to my pre-calculus and calculus classes every year, if I am able to.
Slope intercept form is this:
y - y1 = m(x - x1)
We are given the point of (5, -4) and the equation y = 2x + 3
Our needed equation is parallel to the give equation, meaning it has the same slope which is 2
Plug in the slope which is 2x and the x1 and y1 values given.
y - (-4) = 2(x - 5)
Then, simplify the equation to receive our answer.
y + 4 = 2x -10
y = 2x - 14
y = 2x - 14 is our answer.