Answer:
Step-by-step explanation:
(f + g)(x) simply means that you are adding together the 2 functions that are written in terms of x.
The only like terms we have there are the x-cubed's, so
Find the slope
m= -5-6 / -8-(-2)
m= -11/-6
m=11/6
Use slope and point to create equation
y-6= 11/6(x-(-2))
y-6=11/6x+22/6
y=11/6x+58/6
y=11/6x+29/3
Change to standard form
Standard form: ax + by = c
-11/6x+y=29/3
So each 1 revolution it travels the distance around the rim of the wheele aka circumference
circumference=pi times diameter
diameter=21
circunference=pi times 21 or 21pi
so distance=number of revolutions times circunference
number of revolutions=3
subsitute
distance=3 times 21pi
distance=63pi
answer is 63pi
or aprox pi to 3.14 and do 63 times 3.14=197.82
aprox 197.82 inches
Answer:
x = 4 ± 
Step-by-step explanation:
Given
x² - 8x = 3
To complete the square
add ( half the coefficient of the x- term )² to both sides
x² + 2(- 4)x + 16 = 3 + 16
(x - 4)² = 19 ( take the square root of both sides )
x - 4 = ± ( add 4 to both sides )
x = 4 ±
First add the seconds you have 45 +5+10 seconds which equals 60 seconds or 1 minutes. Now add the minutes 9 + 7 + 12 minutes = 28 minutes then add that 1 minutes that you got from the seconds 28 + 1 minute = 29 minutes 7:40 + 20 minutes = 8:00 + 9 minutes = 8:09 am. So Marsha arrived to school at 8:09 am. Comment if you have any questions.
