er = 3 kay r= 1859 7. Which of the following is a true statement about the polyn
ID: 2887914 • Letter: E
Question
er = 3 kay r= 1859 7. Which of the following is a true statement about the polynomial p(x) = --4x3 +5r2 +1? (a) p() has degree -4 and range all rcal x- fb)2p(x) has degrec 3 and range all real (d) p(x) may have as many as 4 rcal roots. (d) p(x) has leading coefficient 5 and may have as many as 3 rcal roots. 8. Onc author claims per capita consumption of cigarettes can be modeled by the equation f(t) = 4299 - 1.8t - 1.36t2, where t = 0 in the year 1960. This model applics to Americans 18 years of age and older between 1950 and 2003. According to this model, when did per capita consumption peak? (a) Around 1969. (b) Around 1989. (c) Around 1959. (d) Around 1999. 9. Find the cquation of the line connecting points (1,3) and (3,2). Which point below also lies on this line? (a) (10,-3/2) m -- (b) (8,-3/2) myth 2 : 38-btb =-2Explanation / Answer
8)
given f(t)=4299-1.8t-1.36t2
=>f(t)=4299-1.36((1.8/1.36)t +t2)
=>f(t)=-1.36((2*0.9/1.36)t +t2) +4299
=>f(t)=-1.36(-(0.9/1.36)2+(0.9/1.36)2+(2*0.9/1.36)t +t2) +4299
=>f(t)=-1.36((0.9/1.36)2+(2*0.9/1.36)t +t2) +(1.36(0.9/1.36)2)+4299
=>f(t)=-1.36((0.9/1.36)+t)2 +4299.6
f(t) is maximum when (0.9/1.36)+t=0
=>t=-(0.9/1.36)
=>t =-0.66176470588235294117647058823529
t=0 corresponds to 1960
-1<-0.66<0
value between -1(including) and 0(excluded) corresponds to year 1959
so
its (c) around 1959
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