Answer
Part 1) f(x)⁻¹ = 40 - x/2,500
Part 2) quantity
Explanation
f(x)= 100,000-2,500x
In finding the inverse of F(x) we make x the suject of the formula.
f(x)= 100,000-2,500x
2,500x = 100,000 - f(x)
x = 100,000/2,500 - f(x)/2500
x = 40 - f(x)/2,500
Now interchange x with f(x).
f(x)⁻¹ = 40 - x/2,500
Solution-
Capacity of the spherical tank = 800 gallons.
1 gallon = 0.1337 ft³,
Volume of 800 gallons = 800 × 0.1337 = 106.96 ft³
Formula for the volume of sphere

Equating both the volumes
⇒
= 106.96
⇒
= 25.53
⇒ ![r = \sqrt[3]{25.53}](https://tex.z-dn.net/?f=r%20%3D%20%5Csqrt%5B3%5D%7B25.53%7D)
⇒ r = 2.94
∴ Radius of the sphere is 2.94 ft
Answer:
y < 5
Step-by-step explanation:
Given
y + 1 < 6 ( isolate y on the left side by subtracting 1 from both sides )
y < 5
Answer:
ab = 1
Step-by-step explanation:
A Reciprocal of a number is a number which when multiplied by the original number yields the multiplicative number, 1.
So the reciprocal of x would be x⁻¹ or ¹⁄ₓ
The information we are given states that the sum of the two non-zero numbers a and b equals the sum of their reciprocals.
So we can write this into an equation and solve,
(See image)
Once we solve, we get the equation (ab-1)(a+b) = 0
We are given info that a+b≠0
So for the above equation to be true, ab-1 has to equal 0
For <em>this</em> to be true, the product ab must equal 1