Tutors Answer Your Questions about absolute-value (FREE)
Question 563550: When a coin is fair it can be shown that the number of heads h that appears when you flip the coin 100 times is given by the inequality:
abs(h-50/5)<1.645
A. Find the range of heads that is expected.
B. If you flipped a coin 100 times and obtained 40 heads, is the coin fair? Explain.
Click here to see answer by richard1234(7193)  |
Question 567162: If you have a problem like |x-2| + 3 = 5 you would solve it with a positive and negative equation changing the signs of both the 5 and the 3. If you had an inequality |x-2| + 3 > 5 your positive and negative equations would not include changing the sign of the 3. Why is that?
|x-2| + 3 = 5
x + 1 = 5
x=4
|x-2| - 3 = -5
x - 5 = -5
x=0
|x-2| + 3 > 5
x + 1 > 5
x>4
|x-2| + 3 < -5
x + 1 < -5
x<-6
Click here to see answer by richard1234(7193)  |
Question 568353: y= (x+4)-(x+1)
the (brackets) are supposed to be the absolute value bar lines
i understand how to get a resulting graph by graphing both vectors and adding the y values from left to right and then plotting the points.
my question is what is the resulting graph supposed to tell you?
i'm confused because i don't really get how to read the graph
i have worked out that the resulting graph looks like a rigid S shape from using an algebraic method
for x<-2
y= -(x+2) +(x+1)
= -x-2+x+1
y=-1
for -2
y=x+2+x+1
y=2x+3
for x>-1
y=x+2-x-1
y=1
if i graph these 3 equations, i will get the same resulting graph.
does it mean the points on the resulting graph are the solutions?
thanks in advance.
Click here to see answer by stanbon(75887) |
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