1a) f(x) = I x+2 I. This is a piece-wise graph ( V form)
x = 0 →f(x) =2 (intercept y-axis)
x = -2→f(x) = 0 (intercept x-axis)
x = -3→f(x) = 1 (don't forget this is in absolute numbers)
x = -4→f(x) = 2 (don't forget this is in absolute numbers)
Now you can graph the V graph
1b) Translation: x to shift (-3) units and y remains the same, then
f(x-3) = I x - 3 + 2 I = I x-1 I
the V graph will shift one unit to the right, keeping the same y. Proof:
f(x) = I x-1 I . Intercept x-axis when I x-1 I = 0, so x= 1
Answer:
Answer below
Step-by-step explanation:
4(x−1)
2
=10−2
4(x−1)
2
=8
(x−1)
2
=
4
8
(x−1)
2
=2
x −1=±√
2
x−1=√
2
x-1=-\sqrt{2}x−1=−√
2
x=√
2
+1
x=−√
2
+1
x=√
2
+1,−√
2
+1
< P is a right angle.....a right angle is 90 degrees.
< P and < Q form a linear pair....a linear pair, when added, = 180 degrees
so if < P is 90.....and when added to < Q = 180...
90 + Q = 180
Q = 180 - 90
Q = 90 <== so < Q is also a right angle...measures 90 degrees
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1. the mean is 16
2. the mean is 22.5
the formula that can be used to calculate the mean is
= sum of terms/number of terms
for the first question the mean can be calculated as follows
sum of terms= 20+15+19+16+10
= 80
number of terms= 5
mean= 80/5
= 16
for the second question the mean can be calculated as follows
sum of terms= 19+23+11+30+27+27+22+26+16+24
= 225
number of terms= 10
mean= 225/10
= 22.5
Hence the mean for the first expression is 16 and the mean for the second expression is 22.5
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brainly.com/question/26159926?referrer=searchResults
