Answer:
x<6/5, x>14/5
Step-by-step explanation:
Steps
$5\left|x-2\right|+4>8$
$\mathrm{Subtract\:}4\mathrm{\:from\:both\:sides}$
$5\left|x-2\right|+4-4>8-4$
$\mathrm{Simplify}$
$5\left|x-2\right|>4$
$\mathrm{Divide\:both\:sides\:by\:}5$
$\frac{5\left|x-2\right|}{5}>\frac{4}{5}$
$\mathrm{Simplify}$
$\left|x-2\right|>\frac{4}{5}$
$\mathrm{Apply\:absolute\:rule}:\quad\mathrm{If}\:|u|\:>\:a,\:a>0\:\mathrm{then}\:u\:<\:-a\:\quad\mathrm{or}\quad\:u\:>\:a$
$x-2<-\frac{4}{5}\quad\mathrm{or}\quad\:x-2>\frac{4}{5}$
Show Steps
$x-2<-\frac{4}{5}\quad:\quad x<\frac{6}{5}$
Show Steps
$x-2>\frac{4}{5}\quad:\quad x>\frac{14}{5}$
$\mathrm{Combine\:the\:intervals}$
$x<\frac{6}{5}\quad\mathrm{or}\quad\:x>\frac{14}{5}$
Answer:
B because Comp A is $60 for sure plus $42.95 per month and Comp B is $25 for sure and $49.95 per month
Answer:
72 / 123 * 100 = 58.53658537 per cent
Step-by-step explanation:
Answer:
520 people in 2 hours
rate = 260 people per hour
Step-by-step explanation:
change minutes to hours
15 minute* 1 hr/60 minutes = .25 hrs
65 people x people
--------------- = ------------------
.25 hrs 2 hrs
using cross products
65 * 2 = .25 * x
130 = .25x
divide by .25
130/.25 = .25x/.25
520 =x
520 people
65 people x people
--------------- = ------------------
.25 hrs 1 hrs
using cross products
65 = .25x
divide by .25
65/.25 = .25x/.25
260 =x
260 people in 1 hour
rate = 260 people per hour
Answer:
Step-by-step explanation:
The domain of this quadratic is "all real numbers." The function is defined for all x.
