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Directions: find (f-g)(x) using the two functions given in each number.



1.f(x) =3 x


g(x) =-4x+1



2.f(x) =2x


g(x)= 4x2+2x-2



3.f(x) =5x+1


g(x) =3x



4.f(x) =5x+2


g(x)=3x-5



5.f(x) =3x


g(x) =4x²+5x-4


A new car is purchased for 15300 dollars. The value of the car depreciates at 14.25% per year. What will the value of the car be, to the nearest cent, after 6 years?


Let P (x) = 2x^4+15x^3+31x^2+20x+4



(a) Determine whether (x −1) is a factor of P (x). (2)


(b) Find all the possible rational zeros of P (x) by using the Rational Zeros Theorem. (2)


(c) Solve P (x) = 0. (4)




Use Descartes’ Rule of Signs to determine the possible number of positive, negative and


imaginary zeros of P (x).


(i) P (x) = 2x


5 +x


4 +x


3 −4x


2 −x −3.


Sally can paint a room in 8 hours while it takes steve 9 hours to the same room. How long would it take them to paint the room if they worked together?

type an integer or a decimal round to one decimal place as needed


in 205 14.9 out of every 50 employees at a company were women. if there are 43,030 total company employees, estimate the number of women


Please help me with this answer


♠️=7

♦️=5+♠️

♠️=1+♣️♣️♣️

♠️+♦️+♣️=?


John can walk 4 miles in the same time it takes Paul to walk 5 miles. John, however, requires 3 mins. Longer time than Paul to walk a mile. Find their rates.


Manny plans to save 1/14 of his salary each week. If his weekly salary is ​$420​, find the amount he will save each week.


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