Answer:
The amount of nuts is 16 kg and cereal mixture is 44 kg to obtain 60 kg of a mix that will sell for $1.40 per kg
Step-by-step explanation:
Let
x=nuts at $2.50 per kg
y=cereal at $1 per kg
x+y=60 kg (1)
2.50x+y=1.40(60) (2)
From (1)
x=60-y
Substitute x=60-y into (2)
2.50x+y=1.40(60)
2.50(60-y)+y=84
150-2.5y+y=84
-1.5y=84-150
-1.5y=-66
Divide both sides by -1.5
y=44 kg
Substitute y=44 into (1)
x+y=60
x+44=60
x=60-44
=16
x=16 kg
Answer:
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Answer:

Step-by-step explanation:
Given


Required
Find g(3)
Since g(x) is a linear function, then:

For: 





For: 




Substitute 



So, the function is:


Calculate g(3)



Answer:
Shift 6 units right.
Step-by-step explanation:
Easiest way to answer this question is to plot the two graphs:
Let's plot these graphs and analyse each graph.
Lets take the graph of
that is attached.
We can clearly see that graph intersects x axis at x=0 and then essentially looks like y=x is mirrored by the y axis.
Now when we look at the
that is attached,
We can see that graph intersects x axis at x=6 and is a composite graph of
and its mirrored graph by y=6.
We can clearly see that graph has moved 6 units to the right.