Answer:
Take 7.1-4.9=x
Step-by-step explanation:
Given that the revenue equation is

and the cost equation is

Part A:
At break-even the cost is equal to the revenue.
Thus, the algebraic equation needed to determine when the company will break even is given by

Part B:
The solution to part A is given as follows:

Part C:
<span>The algebraic inequality needed to indicate that the revenue is greater than the cost is given by

Part D:
</span>The solution to part C is given as follows:

Part E:
The answer in part D tells us that the the company will make a profit when the produce more than 5000 cards.
Answer:
(b) -61/16 | -15/4
Step-by-step explanation:
We assume you're using a binary search successive approximation technique that starts with an interval and cuts it in half with each iteration. The final approximation of the solution to the equation will be the midpoint of the interval after it has been cut in half 3 times.
The graph shows the intersection point of the curves lies between x = -4 and x = -3.
If we define h(x) = f(x) -g(x), then our first iteration will evaluate h(-7/2) and determine which end of the interval gets replaced. The attachment shows us that the sign of h(-7/2) is the same as the sign of h(-3), so -7/2 replaces -3 and the interval after the first iteration is [-4, -7/2].
The midpoint of this interval is -15/4. The sign of h(-15/4) is the same as the sign of h(-7/2), so the interval after the second iteration is [-4, -15/4].
The midpoint of this interval is -31/8. The sign of h(-31/8) is the same as the sign of h(-4), so the interval containing the solution after the third iteration is [-31/8, -15/4]. The approximate solution value after 3 iterations is (-31/8 -15/4)/2 = -61/16.
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