Select all the correct answers.
1 answer:
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We need to graph the given piecewise function.
To graph any piecewise function we do that into parts
Let's graph upper part first which is
restriction for that is
that means we are free to pick any number for x that is between -5 and 3, including 3.
So we will find few points by plugging random numbers between -5 and 3.
Let's use x=-5, we get:
so first point is (-5,27).
similarly we can find other points like (0,2), (2,6), (-1,3) etc.
Now we join those points by a curved line.
means we use a close circle at -5
x<3 means use open circle at 3
------------
Repeat same process for 2nd part f(x)=x-4
choose any number between 3 and 7 like x=3, 4 etc
so we get points (3,-1), (4,0) etc
Now graph them
So the final graph will look like:
Answer:
y=x-6.5
Step-by-step explanation:
=
=
y=mx+b
-8 = () (-6) +b
-8 = - +b
b= -6.5
so the 5 gallons ones is 40% acid, how much acid solute is in it anyway? well just 40% of 5 or namely 0.4*5 = 2 gallons.
the 3 gallons one is 50%, likewise it has 0.50 * 3 = 1.5 gallons of acid solute in it.