A certain high school class consists of juniors and seniors. There are
23 students in the class, and the number of seniors is 7 less than twice the
number of juniors. How many seniors are in the class?

10 SENIORS

Step-by-step explanation:

x=# of seniors

y=# of juniors

x+y=23, x=2y-7

plug the value of x in the second equation into the first(2y-7)+y=23Remove parentheses2y-7+y=23Combine like terms3y-7=23Add 7 to BOTH sides3y=30divide BOTH sides by 33y/3=30/3y=10There are 10 juniors in the classFINAL STEPSPlug y (which is 10) into the first equationx+y=23x+10=23subtract 10 from BOTH sidesx=13Since X equals the number of seniors, there are 10 seniors in the class

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

there is a hike in both the graphs so the graphs are increasing on their domain.x-intercept of log x and log 6x are differentthere is a vertical asymptote of both the graphs so there is no y-interceptas both the graphs are increasing so there is no horizontal asymptote