Given the two functions,

Mathematics

1 answer:

dolphi86 [110]3 years ago

5 0

4x is the slope (another word for the rate of change) of the equation above. (it's quite obvious if you know the formula and what the variable mean.) This is Slope-intercept form- y = mx + b. M is the slope and b is the y-intercept.
Now for the graph. This is quite simple to find the slope. The slope is also known as rise over run, meaning how many times it rises over how many times it goes to the side. Let's pick a point on the graph to count. Start at (0,2). Count the squares to the points where the line touches a corner of it. (sorry I'm not good at explaining. I hope you get what I mean.) So from the point (0,2) and count to the side and upwards. The rise (how many squares you went up) is 2, and the run (how many squares you went across) is 1.

(rise over run) rise is 2, and run is 1 so it's 1/2. Or just 2 because 2 ÷ 1 is still 2.
Hope it wasn't to complicating. Good luck!

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a. The probability that a subscriber rented a car during the past 12 months for business or personal reasons (P(R)) is given by the probability that they rented a car for business reasons (P(B)=0.19), added to the probability that they rented for personal reasons (P(P)=0.52), subtracted by the probability that they rented for both reasons (P(B and P) = 0.03):

$P(R)=P(B)+P(P)-P(B\cap P)\\P(R) = 0.19+0.52-0.03\\P(R)=0.68$

b. The probability that a subscriber did not rent a car during the past 12 months for either business or personal reasons (P(N)) is 100% minus the probability that they rented a car (P(R) = 0.68).

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