Answer:
y = lnx/ln12
Step-by-step explanation:
Given the function y = 12^x, to find the inverse of the function, we news to write x as a function of y as shown:
Given y = 12^x
Taking ln of both sides
ln y = ln 12^x
ln y = xln12
Divide both sides by ln12
lny/ln12 = xln12/ln12
x = lny/ln12
x = ln(y-12)
Replacing y with x and x with y
The inverse of the function will be:
y = lnx/ln12
The total cost without the discount is given by:
$
Then, to find the discounted amount, we make the following rule of three:
10 $ ------------------> 100%
x ----------------------> 20%
From here, we clear the value of x.
We have then:

Then, the cost of the Strawberries with the discount is:
$
Answer:
Kate pays for the strawberries about $ 8.
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:

So we have the system of equations:

equation (1)

equation (2)
To use substitution, we are going to solve for one variable in one of our equations, and then we are going to replace that value in the other equation:
Solving for

in equation (2):



equation (3)
Replacing equation (3) in equation (1):






equation (4)
Replacing equation (4) in equation (3):



We can conclude that the solution of our system of equations is <span>
(7/5, 21/10)</span>
Answer:
Answer 6.582
Step-by-step explanation:
0 6. 5 8 2
1 5 9 8. 7 3 0
− 0
9 8
− 9 0
8 7
− 7 5
1 2 3
− 1 2 0
3 0
− 3 0
0
Hope its understandable ._.