Answer:
yes
Step-by-step explanation:
4x3-2=10>4
so it is true
(1,-1) and (3,5)
Find slope first
y=mx+b
slope is also m
b is y-intercept
slope = y2-y1/x2-x1
x1=1
x2=3
y1=-1
y2=5
5-(-1)/(3)-(1)
6/2=3
y=3x+b
use (1,-1) into y=3x+b ( using substitution method)
-1=3(1)+b
-1=3+b
Move 3 to the other side
Sign changes from +3 to -3
-1-3+3-3+b
b=-4
Answer: C.) Y = 3x-4
Answer: The price of the TV including tax is $157.65.
Step-by-step explanation:
Answer:
x = 5m/s
Step-by-step explanation:
Distance flying out = 12 km (headwind)
Distance flying back = 12 km (tailwind)
total distance = 12 + 12 =24 km
wind speed = 1km/h
speed going out (with headwind) = (x - 1) km/h
speed coming back (with tailwind) = (x + 1) km/h
Time taken to go out = distance going out / speed going out
= 12 / (x-1)
Time taken to come back = distance coming back / speed coming back
= 12 / (x+1)
total time = time taken to go out + time taken to come back
5 =[ 12/(x-1) ] + [ 12/(x-1)]
expanding this, we will get
5x² - 24x - 5 = 0
solving quadratic equation, we will get
x = -1/5 (impossible because speed cannot be negative)
or
x = 5 (answer)