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Find the solution for equations

See the attached file.

1) Solve algebraically and check your potential solutions:
a)
sqrt(t+12)-t=0
b)
3/(x-3)=x/(x-3)-3/2
?
Show your work here:
What potential solution did you obtain? Explain why this is not a solution.
2) a) If y=sqrt(x)-1, fill in the following table for x = 0, 1, 2, 3, 4. Round to three decimal places
where necessary.
x y
0
1
2
3
4
Show your work here:
b) Explain why no negative values are chosen as values to substitute in for x.
c) Graph in MS Excel or another web-based graphing utility and paste your graph here.
3 ) Consider the population that changes in accordance with the equation p=t^2/4.2+1.0
Where P is the population and t represents time.
a) Solve for 't' Answer:
Show your work here:
b) Find 't' when P = 2. Round your answer to two decimal places. Answer:
Show your work here:
c) Explain what happens when the value of 'P' is less than 1? Answer:
4. The velocity of water flow from a nozzle is given by v=12.1sqrt(p)
Where v is the velocity in feet per second and p is the nozzle pressure, in pounds per square inch (psi).

a) Find the nozzle pressure, when the water flow is 80 feet per second. Round your answer to four decimal places. Answer:
Show your work here:
b)Find the velocity when the nozzle pressure is 50psi. Round your answer to two decimal places. Answer:
Show your work here:

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The solution provides detailed explanation how to solve equations.

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