-60 miles per hour
-12 customers per day
-2.5 meters per second
-$1.59 per pound
You divide the first number by the second number for all of these
Answer:
f(x - 2) = 8x - 16
Step-by-step explanation:
f(x) = 8x
f(x - 2) = 8(x - 2)
f(x - 2) = 8x - 16
y = 9ln(x)
<span>y' = 9x^-1 =9/x</span>
y'' = -9x^-2 =-9/x^2
curvature k = |y''| / (1 + (y')^2)^(3/2)
<span>= |-9/x^2| / (1 + (9/x)^2)^(3/2)
= (9/x^2) / (1 + 81/x^2)^(3/2)
= (9/x^2) / [(1/x^3) (x^2 + 81)^(3/2)]
= 9x(x^2 + 81)^(-3/2).
To maximize the curvature, </span>
we find where k' = 0. <span>
k' = 9 * (x^2 + 81)^(-3/2) + 9x * -3x(x^2 + 81)^(-5/2)
...= 9(x^2 + 81)^(-5/2) [(x^2 + 81) - 3x^2]
...= 9(81 - 2x^2)/(x^2 + 81)^(5/2)
Setting k' = 0 yields x = ±9/√2.
Since k' < 0 for x < -9/√2 and k' > 0 for x >
-9/√2 (and less than 9/√2),
we have a minimum at x = -9/√2.
Since k' > 0 for x < 9/√2 (and greater than 9/√2) and
k' < 0 for x > 9/√2,
we have a maximum at x = 9/√2. </span>
x=9/√2=6.36
<span>y=9 ln(x)=9ln(6.36)=16.66</span>
the
answer is
(x,y)=(6.36,16.66)
Answer:
(2) and (3)
Step-by-step explanation:
(2) shows the total cost of the flowers, minus 10% of the total cost, and 100% - 10% = 90%
(3) shows them taking 90% of the total cost, just like (2)
an = a1+ d(n-1)
a1 =14
an=206 when n=25
206 = 14 + d (25-1)
206 = 14 + d * 24
subtract 14 from each side
192 = 24d
divide by 24 on each side
d=8
The common difference is 8
