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Provide 2 graphs, one that is a one-to-one function and one that is not a one-to-one function. Justify each classification.



Which two of the three functions are inverses of one another? Explain how you verified that two functions are inverses of one another using composition of functions and show your math work.

f (x) = 3√ x- 4 ( imagine if the tip of the symbol went to the end at 4 )

g(x) = x3 − 4

h(x) = x3 + 4



The regular price of a computer is x dollars. The price of a computer after a discount is given by f(x) = x − 400. The price of a computer after a 25% discount is given by g(x) = 0.75x . Use composition to show the new function that represents a $400 discount being taken then a 25% discount being taken.


Solve the equation -x2 + 1 = x − 1 graphically. Your answer must include:

  • A hand-drawn or calculator-created image of the graph with the equations f(x) and g(x) identified, along with labeled axes and any point(s) of intersection
  • A statement listing the solution(s) to the equation
  • Your work verifying that the solution(s) create a true statement in the original equation

We've been dealing with integers too much, it's time for float to shine!





Instructions:



Input five float numbers.


Print out the float numbers in one line, separated by spaces, and make sure you only print up to 1 decimal place.


Add the first four float numbers and check if their sum is greater than the fifth float number. Print out "Yes" if they are.


Input



1. First float number



2. Second float number



3. Third float number



4. Fourth float number



5. Fifth float number



Output



The first five lines will contain message prompts to input the five float numbers.


The next line contains the inputted float numbers.


The last line contains "Yes" if the condition is true.



Enter·the·first·number:·1.1


Enter·the·second·number:·1.2


Enter·the·third·number:·1.3


Enter·the·fourth·number:·1.4


Enter·the·fifth·number:·1.1


1.1·1.2·1.3·1.4·1.1


Yes


How many moles does 56.7g of SrlO contain? (SrlO molar mass equals 230.5 g/mole)


𝒄𝒂𝒍𝒄𝒖𝒍𝒂𝒕𝒆 𝒕𝒉𝒆 𝒎𝒂𝒔𝒔 𝒐𝒇 𝒔𝒐𝒅𝒊𝒖𝒎 2 𝒄𝒉𝒍𝒐𝒓𝒊𝒅𝒆 𝒏𝒆𝒆𝒅𝒆𝒅 𝒊𝒇 𝒂 𝒔𝒐𝒍𝒖𝒕𝒊𝒐𝒏 𝒄𝒐𝒏𝒕𝒂𝒊𝒏𝒊𝒏𝒈 2 𝒈𝒓𝒂𝒎 𝒐𝒇 𝑯𝒈(no2)2 was added to sodium 2 chloride solution

Difference between index journal and abstract journal?

Two balls A and B, weighing 49 N each, approach each other, with speeds of 20 m/s and 30 m/s respectively. Determine their speeds after the collision if (a) the coefficient of restitution is 0.80, and (b) they are completely inelastic. 


The city council wants to sponsor 150 bags for their organization’s scholars. Each bag


costs $375. If they were to buy from the factory, they will be given 45% off the total


purchase. However, if they buy from the store they will be given 50% off the price for


each bag. Where will they have a cheaper purchase?


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