Can anyone explain how to do this? I looked at the book and now I'm even more confused. 50 points
1 answer:
The piecewise function is basically the result of two different functions combined together. If x is 0 or larger, then h(x) = x+4. Otherwise, if x < 0, then h(x) = -x-4
No matter what number you pick for x, the h(x) function will be used in some way. So the domain is the set of all real numbers. To write this in interval notation, we write which means we start off at negative infinity and go to positive infinity. This is basically saying "the entire real number line". Since we can't actually reach either infinity, we always use parenthesis with them. <u>Never</u> use square brackets with either infinity
From the graph (see attached image below), we see that (0,-4) is the lowest point. This means y = -4 is the smallest y output possible, though we can't actually reach it because of the open circle at (0,-4). We can get any other larger y value. So the range is therefore: meaning we start at -4 and head off to positive infinity. The curve parenthesis next to -4 the reader "exclude -4 as part of the range". There is an open hole or gap here. Another way to state the range is to write y > -4
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Answer:
point slope form....
y - (-7) = -1/2(x-4)
y + 7 = -x/2 + 2
2y + 14 = -x + 4
2y = -x -10
y = -1/2 x - 5
Step-by-step explanation:
Answer with explanation:
Alison is learning how to walk.50% of times she takes a step she falls down.
Probability of falling down in next step
Probability of not falling down in next step
From ,the four option given,we have to find the best simulation which her older brother wants to design a simulation to find the probability that she will fall down 5 out of the next 7 times she tries to take step.
While Simulating the Probability of falling down should be
And , probability of not falling down
→→⇒F=Falling, NF=Non Falling
A) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die five times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
B) Roll a die letting 1 represent Alison falling and 2-6 represent Alison not falling. Roll the die seven times.
Incorrect option,probabilities of falling and non falling does not match with Actual probability of falling and non falling.
C) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin five times.
Simulation is done only five times , that is coin has been flipped only five times.it must have been flipped seven times.Incorrect option.
D) Let Heads represent Alison falling down and Tails representing Alison not falling down. Flip the coin seven times.
Simulation is done seven times , that is coin has been flipped seven times.So,she should fall 5 times that is head should appear 5 out of seven times, and tail should appear 2 out of seven times.correct option.
Option D