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Question 90937: page 718 of chapter 8 section 3 question #16 #18 #28 #38
I am double checking my work and noticed after doing these 4 yesterday, they are confusing the heck out of me today. Can you explain how to solve these so I can refresh my mind and be assured that I done them properly before I turn in my assignments today? (I am giving four different styles)
#16 solve by substitution 5x-2y=-5 then y-5x=3 now question #20 solve by substitution 8x-4y=16 then y=2x-4 now question #28 solve by substitution 4x-12y=5 then -x+3y=-1 and question #38 solve by either addition or substitution. If a unique solution does not exist, stste wether it is dependent or inconsistent. 10x+2y=7 and y=-5x+3 THANKS! My answers that I had for #16 was x=-1/5 and y=2 then I did it over today and got x =0.6 and y =4 so I am just lost now.
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Question 91088: this is possibly the harderst proble I have ever seen in my life. Please help me. I have such a difficult time with word problems. Please help me with this so I can get on with the rest of my math. I really appreciate your help
This problem set involves a formula (a rational function) with which a new tortilla company might be able to forecast its production over the first few weeks of operation.
In this formula, C(t) is the number of bags of tortillas that can be produced per week after t weeks of production.
Here is the rational function that was developed to best describe the fledgling company's production.
c (t)= 1000t^2 -10,000t / t^2-10t+25
What does the graph of the function look like? To answer this question, find
a. The vertical asymptotes, if any:
b. The horizontal asymptote, if any:
c. The t intercepts, if any:
d. The C intercept, if any:
e. The value of C(t) at:
t = 10 weeks
t = 15 weeks
t = 20 weeks
t = 25 weeks
t = 30 weeks
t = 35 weeks
Show your calculations
f. The value of C(t) at:
t = -5
t = -10
What is the projected maximum number of bags of tortillas that the company can never exceed? Discuss this answer in terms of the horizontal asymptote.
3. Can the company reach that maximum? If so, after how long
4. Give an interpretation of what might be happening to the company's production efforts from week 5 to week 10? Discuss this answer in detail.
5. In terms of the business application, is there any meaning for the value of C(t) when t = -5 and t = -10? Explain your answer.
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Question 91083: A factory finds that the number of items it can produce per week after t weeks of production is approximated by C(t) = 31,000t^2+580/2t^2+5t+24 t >- 0. Theoretically, what is the most the factory could produce in a single week, according to this equation.
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Question 91297: given: F(x) = x/x^2-9
a. Find the x-intercept(s).
b. Find the y-intercept(s).
c. Find the vertical asymptote(s) (write as an equation of a line).
d. Find the horizontal asymptote(s) (write as an equation of a line).
e. For x<-3, is there a value which F(x) cannot exceed, AND/OR a value which F(x) cannot fall below? Explain your answers.
f. Is the function increasing or decreasing in the interval -3<- x <- 3?
g. As x approaches 3 from the left, what happens to the function values?
h. As x approaches 3 from the right, what happens to the function values?
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