Can someone help me with these questions please
1 answer:
Answer:
Please see the attached pictures for full solution.
For the first question, the inequality sign is
because of the word "at least". This means that the profit can be greater or equal to $980.
2nd question part b: I saw your working on another post... you're almost there! After finding the circumference of the semi circle, add the diameter of the semicircle (2 radius) since it's part of the garden too.
For the 3rd question part b, I multiply 12.8 by 15 because we know that from part a that 1cm of the scale drawing represents 15 feet of the actual parking lot. Since the length of the parking lot on the scale drawing is given to be 12.8cm, the actual length is 12.8×15= 192 feet. (I answered this question on another post of yours but I decided to explain it again here)
If you have any questions, feel free to ask! :)
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2. means that for every x, there is eactly one y
basically, we can use the vertical line test to see if it crosses at any 2 points
first one works
2nd one works
3rd works
4th works
5th works
they are all one to one functions
3.
easy
steps
for f(x)=?
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
so
replace
switch
solve
![\sqrt[3]{x+2}=1+y](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%2B2%7D%3D1%2By)
![-1+\sqrt[3]{x+2}=](https://tex.z-dn.net/?f=-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D%3D)
replace
![f^{-1}(x)=-1+\sqrt[3]{x+2}](https://tex.z-dn.net/?f=f%5E%7B-1%7D%28x%29%3D-1%2B%5Csqrt%5B3%5D%7Bx%2B2%7D)
first option
4.
domain, hmm we can't divide by 0 so domain is all real numbers except for x=0
domain is
hmm, range
as x approaches negative or positive infinity, f(x)=5
as x approaches 0 from the left, f(x) appraoches negative infintiy
as x approaches 0 from the right , f(x) appraoches positive infintiy
so range is
domain is
range is
answer is the 4th option
basically, we can use the vertical line test to see if it crosses at any 2 points
first one works
2nd one works
3rd works
4th works
5th works
they are all one to one functions
3.
easy
steps
for f(x)=?
replace f(x) with y
switch x and y
solve for y
replace y with f⁻¹(x)
so
replace
switch
solve
replace
first option
4.
domain, hmm we can't divide by 0 so domain is all real numbers except for x=0
domain is
hmm, range
as x approaches negative or positive infinity, f(x)=5
as x approaches 0 from the left, f(x) appraoches negative infintiy
as x approaches 0 from the right , f(x) appraoches positive infintiy
so range is
domain is
range is
answer is the 4th option