Step-by-step explanation:
the derivative of an inverse function is
1/f'(f^-1(x))
f'(x) = -6x²
f^-1(7) is solving the original function equation for x under the knowledge that y = 7
7 = 5 - 2x³
2 = -2x³
-1 = x³
=>
x = -1
f'(-1) = -6×(-1)² = -6×1 = -6
so,
(f^-1)'(7) = -1/6
950ml × 1L1000ml = 0.95L is the correct answer.
The formula is right there in the question. Just write '16' in place of 'b' and write '5' in place of 'h', then do the multiplication and you have the area. / / / If you don't get 40 square mm then you have a mistake somewhere.
Easy peasy
1.
d=number of dudes
l=number of ladies
total is 55 so
d+l=55
total cost is 75 so
2d+l=75
multiply first eeuqaiton by -1 and add to second
2d+l=75
<u>-d-l=-55 +</u>
d+0=20
d=20
sub
d+l=55
20+l=55
l=35
35 ladies
2.
ratio and proportion
$87 is to 8 as is $x is to 5
87/8=x/5
times both sides by 5
435/8=x
use calculator
54.375=x
round
$54.38 recieved
3.
around the edge
means perimiter
disregard how deep the pool is
60 feet long
x wide
P=2(L+W)
P=220
220=2(60+x)
divide 2
110=60+x
minus 60 both sides
50=x
it has to be 50 feet wide
4. monthly over 5 years
1 year=12 months
12 times 5=60 months
12381/60=206.35 per month
$206.35
5.
total-food-gas-utilities=left
1624-256-125-150=1093 left
you should be able to do this one no problem
$1093 let
1. 35 ladies
2. $54.38
3. 50 feet
4. $206.35
5. $1093
