Answer:
x=2 or x=3
Step-by-step explanation:
x^4 - 5x^3 + 7x^2 - 5x + 6 = 0
Step 1=Factor left side of equation.
(x-2) (x-3) (x^2 + 1) = 0
Step 2=Set factors equal to 0.
x-2 = 0 or x-3 = 0 or x^2 + 1 = 0.
Answer:x=2 or x=3
9514 1404 393
Answer:
$67,516
Step-by-step explanation:
"Depreciates" means the value is getting smaller. The function that describes the situation is a <em>decay</em> function:
y= a(1-r)^x
Here, a=150000, r = 0.07, and x=11. The value is predicted to be ...
y = 150000(1 -0.07)^11 = 150000(0.93^11) = 67,515.53
The house is worth about $67,516 in 2013.
Step-by-step explanation:
since f(x) is overall increasing for the interval -3 < x < 0,
A and B both fit in there and are correct answers.
speed = distance/time
distance = speed * time
d = st
time up the mountain: t
time down the mountain: 6.6 - t
distance each way: d
Up the mountain:
d = st
d = 80t
Down the mountain
d = st
d = 85(6.6 - t)
The distances are equal, so
80t = 85(6.6 - t)
80t = 561 - 85t
165t = 561
t = 3.4
6.6 - t = 6.6 - 3.4 = 3.2
It takes 3.4 hours up the mountain and 3.2 hours down the mountain.
3.4 hours at 85 mph covers the same distance as 3.2 hours at 85 mph.
3.4 hours * 80 mph = 272 miles
3.2 hours * 85 mph = 272 miles