![\textbf{You have to}](https://tex.z-dn.net/?f=%5Ctextbf%7BYou%20have%20to%7D%20)
restrict the domains of quadratic functions and absolute value functions, because these functions are
![\textbf{many-to-one}](https://tex.z-dn.net/?f=%5Ctextbf%7Bmany-to-one%7D%20)
functions. For instance, the quadratic function f(x) = x^2 pairs both −2 and 2 with 4, and the absolute value function f(x) = |x| pairs both −2 and 2 with 2.
Linear functions (excluding constant functions) and exponential functions are
![\textbf{one-to-one}](https://tex.z-dn.net/?f=%5Ctextbf%7Bone-to-one%7D%20)
functions, so their domains
![\textbf{do not need}](https://tex.z-dn.net/?f=%5Ctextbf%7Bdo%20not%20need%7D)
to be restricted.
_________________
An absolute value function, without domain restriction, has an inverse that is NOT a function.
In order to guarantee that the inverse must also be a function, we need to restrict the domain of the absolute value function to make it a one-to-one function.
Answer:
Following are the solution to the given points:
Step-by-step explanation:
![Ann=\$3,20,000\\\\Bob=\$4,40,000\\\\Carol=\$240,000\\\\Denis= \$4,00,000\\\\](https://tex.z-dn.net/?f=Ann%3D%5C%243%2C20%2C000%5C%5C%5C%5CBob%3D%5C%244%2C40%2C000%5C%5C%5C%5CCarol%3D%5C%24240%2C000%5C%5C%5C%5CDenis%3D%20%5C%244%2C00%2C000%5C%5C%5C%5C)
Each player's offer divided by the total number of players calculates the fair share
Ann's fair share ![= \frac{\$320,000}{4} = \$80,000\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5C%24320%2C000%7D%7B4%7D%20%3D%20%5C%2480%2C000%5C%5C%5C%5C)
Bob's fair share![= \frac{\$440,000}{4} = \$110,000\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5C%24440%2C000%7D%7B4%7D%20%3D%20%5C%24110%2C000%5C%5C%5C%5C)
Carol's fair share ![= \frac{\$240,000}{4} = \$60,000\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5C%24240%2C000%7D%7B4%7D%20%3D%20%5C%2460%2C000%5C%5C%5C%5C)
Denis's fair share ![= \frac{\$400,000}{4} = \$100,000\\\\](https://tex.z-dn.net/?f=%3D%20%5Cfrac%7B%5C%24400%2C000%7D%7B4%7D%20%3D%20%5C%24100%2C000%5C%5C%5C%5C)
Because Bob has the highest bid, that receives in the business.
Payments:
Ann
paid by estate
Bob
owes estate
Carol
paid by estate
Denis
paid by estate
Surplus
Splitting the equally among the four players. therefore one of the each receives:
![\frac{\$90,000}{4}= \$22,500](https://tex.z-dn.net/?f=%5Cfrac%7B%5C%2490%2C000%7D%7B4%7D%3D%20%5C%2422%2C500)
The final settlement of the Ann receives:
![= \$80,000+ \$22,500 = \$102,500](https://tex.z-dn.net/?f=%3D%20%5C%2480%2C000%2B%20%5C%2422%2C500%20%3D%20%5C%24102%2C500)
A. hundreds
250 bars * $2 each = $500
Answer:
Circle B has an area of 200.96 in².
Step-by-step explanation:
π = 3.14
radius of circle A = diameter of circle A/2
= 16 in/ 2 = 8 in.
Area = πr² = (3.14)(8²)
= (3.14)(64)
= 200.96 in²
Answer:
I believ the answer is 6/12 or 1/2
Step-by-step explanation:
2x3 = 6 and 4x3 = 12 and 6/12 simplified would be 1/2