$15~~,~~\stackrel{15+8}{23}~~,~~\stackrel{23+8}{31}~~,~~\stackrel{31+8}{39}~~,~~...~\hspace{10em}\stackrel{common~difference}{d=8} \\\\[-0.35em] ~\dotfill\\\\ n^{th}\textit{ term of an arithmetic sequence} \\\\ a_n=a_1+(n-1)d\qquad \begin{cases} a_n=n^{th}\ term\\ n=\stackrel{\textit{term position}}{59}\\ a_1=\stackrel{\textit{first term}}{15}\\ d=\stackrel{\textit{common difference}}{8} \end{cases} \\\\\\ a_{59}=15+(59-1)8\implies a_{59}=15+472-8\implies a_{59}=479$

4 0

2 years ago

Find g (x) - f (x). <br><br> g (x) = x^2 + 1 and f (x) = 2x + 5

allochka39001 [22]

Answer:

x^2 - 2x - 4

Step-by-step explanation:

g(x) - f(x) = (x^2 + 1) - (2x + 5) = x^2 + 1 - 2x -5 = x^2 -2x +(1-5) = x^2 - 2x - 4

6 0

2 years ago

Given the function ƒ(x) = 8(x - 4) - 18, determine the value of x such that ƒ(x) = 22. Select one: A. 3 B. 6 C. 9 D. 12

mojhsa [17]

Answer:

C. 9

Step-by-step explanation:

it's multiple choice so plug each value in

A = -26

B = -34

C = 22

D = 46

so the answer is c

6 0

2 years ago

A theater has main floor and box seating. The main floor seat 14 people in each row another 20 people can sit in the box seats w

aivan3 [116]

14x+20+= the number of people that can be seated

4 0

2 years ago