Answer:
The graph in the attached figure
Step-by-step explanation:
we have

This is the equation of a vertical parabola open upwards
The vertex is a minimum
The vertex is the point (1,2)
The y-intercept is the point (0,3)
The function does not have x-intercepts
see the attached figure
2/5 were sold in the morning. This is equal to 40% of the total. That leaves 60% leftover.
3/4 were sold in the afternoon. This is equal to 75% of the 60% leftover or 45% of the total (.6x.75).
The difference between the two sales is 24 cartons or 5% (45%-40%). If 5% is equal to 24 then you can cross multiply to see what is the equivalent number of cartons out of 100%.
5/100 = 24/x
5x = 24(100)
5x = 2400
x = 480
ANSWER: 480 cartons
Answer:
24.
Step-by-step explanation:
With composition of functions (as with the order of operations) we perform what is inside of the parentheses first. So, g(3)=2(3)+2=8 and then f(8)=24.
Answer:
-8.57142857143
Step-by-step explanation:
-8.57142857143
Part A
The given expression is:

We expand to get:

Note that 



Part Bi)
The given expression is;

We simplify to get:


Note that:


This is now of the form
, where
.
This explains why it is a complex number;
Part bii)
The given expression is :

We simplify to get





Part C
We want to simplify:

We rewrite in terms of 


