A water storage tank has two drains. It can be shown that the time it takes to empty the tank if both drains are open is given by the formula (1)/((1)/(a)+(1)/(b)) where a= time it takes for the first drain to empty the tank, and b=time for the second drain to empty the tank. a. Simplify this complex fraction.   _____ b. Find the amount of time needed to empty the tank using both drains if, used alone, the first drain empties the tank in 7 hours and the second drain can empty the tank in 6 hours. It takes ____  hours to empty the tank.

Q: Find all complex solutions using an appropriate method. 18. (2x-3)(x+7)=1+11x-x²

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Q: Find m so that x+4 is a factor of 5x^3 + 18x^2 + mx + 16

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A:

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A: These questions  are related to algebraic operations, we will solve it using given information.

Q: x+8 x+8 +

A: Answer

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A: The given expression is:

Q: x² + 4x + 3

A:

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A: Topic = Algebra

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A:

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A: To find the derivative of P.

Q: 3 I (x + 1) a factor of 2x° + 3x – 2x – 3? Show how you know. -

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A: Answer and explanation is given below...

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A:

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A: See the detailed solution below.

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A: p(x)= 3^5-4^3+2x^2+3x-6 How many complex zeros does the above polynomial have?

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A: It is given that

Q: Note: Enter your answer and show all the steps that you use to solve this problem in the space…

A:

Q: Find all complex solutions using an appropriate method. 5. x2 +6x2 + 25x2 =0 6. x* - 7x = 44

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Q: (a) . Let x E Z. List all possible remainders of 7x² when divided by 3. Justify your answer. (b) [ ]…

A:

Q: solve 5cos (2θ) = -3 over the reals

A:

Q: 20. The sum of the roots of 3x² - 6x + 12 =0. a. 3 b. -3 с. 2 d. -2

A: Given that, the quadratic equation is                                            3x2-6x+12=0…

Q: 2. Find all complex solutions: x2 +x+ 2 = 0

A:

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A: Just look at how denominator like this can be shifted into multiplication.

Q: 1) Use the quadratic formula to find the solution(s) to x2-3x=8. Express the larger root below in…

A:

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A:

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A:

Q: 3+ a > 2. 2-r Solve for z in

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A: We will solve the following.

Q: 5. Simplify the complex fraction. type b. type 10

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A:

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A:

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A: Simplify

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A:

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A:

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A: Factor the expression

Q: 5) Find all real solutions of the equation below. 2 4 x +6 x + 8 x2 + 14x + 48

A: