Answer: He actually rode 2 miles per hour on his trip
Step-by-step explanation: Maybe unconventional, but express the time it took, then figure the speed.
Time = distance /speed t will represent time, s is the speed: t = 30/s Use the rime it would have taken at the higher speed to create an equation:
t-12 = 30/s+8 replace the y with the 30/s
30/s -12 = 30/s+8
(s)(30/s -12 ) = (s)(30/s+8 ) Cross multiply to cancel denominators
(s-8)(30 -12s) = (s-8)(30s/s+8 ) ==> 30s +240 -12s² -96s =30s Simplify:
(-1)(-12s² -96s +240 ) =0 ==> 12s² +96s -240 divide all by 12
s² + 8s -20 = 0 Factor and solve for s
(s +10)(s -2) =0 s-2=0 S= 2
Proof:
30/2 = 15 hours for original trip at 2mph,
increase speed by 8mph 2 + 8 = 10mph
30 miles at 10mph takes 3 hours; that is 12 hours less than his actual trip.
(Brainilest, please :-)
The only value of p for which the equation has exactly 1 real number solution is p=0.
If p<0, there are no real number solutions and if p>0, there are 2 real number solutions.
Hope this helps,
Brian
Answer:
Let's put this equation in standard form...
If it is parallel, it would have the SAME slope but ANY OTHER y-intercept!!
For example...
Hope this helps!!
The very rich
control the market and decide what industries to invest in or lend money too.
They influence the government so that they don't have to pay very much in
taxes, which would support the nation's infrastructure, & provide jobs. The
middle class works hard to produce products, and also spends money on products,
which helps to make the rich investors even more wealthy. The poor are typically
unable to compete in a capitalist economy (for a number of reasons), &
require public assistance to survive.
Answer: (-1, 10)
Step-by-step explanation:
