### Solve equation by the method of your choice.

2y^2 - 3y - 6=0

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2y^2 - 3y - 6=0

Derive rules to test whether a number is divisible by N, where N ranges from 2 to 13. E.g. A number is divisible by 3 if the sum of the digits is divisible by 3. Show that a palindromic number which has an even number of digits is always divisible by 11.

This is a True or False problem and I need to explain the answer. 1. If we add the absolute values of -3 and -5, we get 8. using the distributive property to remove the parentheses. 2. -3(6-p) Can you help me with this problems and explain them. Thank you, your help is GREATLY appeciated.

Write in simplifed radical form. Assume all variables represent positive real numbers. sqrt 45 y^7 z^6

Write the expression below as simply as possible in its radical form. Assume that all of the variables in the expression represent positive real numbers. 3 sqrt(72t^9 w^11)

Principle square root 2 t^3 u, principle square root 8t^4 u^5 Note: I am unsure how to indicate principle square root with the appropriate symbol. Obviously, I have typed principle square root where the symbol should be.

-6x - 5y is less than or equal to -14 keywords: inequality

In a family there are two cars. In a given week, the first car gets an average of 25 miles per gallon, and the second car gets 40 miles per gallon. The two cars combined drive a total of 2100 miles in that week, for a total gas consumption of 60 gallons. How many gallons were consumed by each of the two cars that week?

(3 principle square root 10 -5)( 1-4 principle square root 5) Note: I'm not sure how to indicate principle square root with the symbol. That's why I have to write it out. Obviously, there should be a symbol where I have typed the words.

32 u^3 + 72 u^2 - 20 u

Express the following compound fraction in lowest terms 21t^2 u ------------- 5 rs^3 ------------- 7t^5 u^4 --------------- 15s^4

Express the following sum as a single fraction.Reduce the result to lowest terms whenever possible. z-9w 6z+6w - ------ + -------- 5z 5z

Reduce the following expression to lowest terms: x^2 - 11x+30 ---------------- 2x^2 - 72

Express as a single fraction in lowest terms 3y + w 7y - 2w -4+----------- + ---------- 7y 2y

Reduce the following rational expression to its lowest terms 10 u^5 z^4 ------------------ 25 x z^3 - 15 z^6

Solve for z. z is a real number. If there is more than one solution, separate with commas. principle square root 4z - 5 = principle square root 2z + 3 Note: I don't know how to graph the sign for principle square root, which is why i write it out.

Solve for x. 5 2 -----= - ----- - 7 x-2 2x - 4

Add and simplify. 2 x+3 - ---- + ----- x-2 x

Find the quotient of the following. Reduce to lowest terms. 14u 4tu ---- divided by ------ 9t 3t

3 principle square root 27 Note: I'm not sure how to graph the principle square root sign. Hence, why I wrote it out. Hope that makes sense.

A ball is dropped from the top of a 400 foot tall building and falls such that its distance from the ground at t seconds is s = -16t2 + 400 feet. What is the average velocity of the ball for the first 4 seconds?

4m^2 + 20m + 25 =

What is the principle square root of -4t + 21 = t?

An aquarium tank can hold 7700 liters of water. There are two pipes that can be used to fill the tank. The first pipe alone can fill the tank in 77 minutes. The second pipe can fill the tank in 44 minutes by itself. When both pipes are working together, how long does it take them to fill the tank?

Principle square root 2 y^6 z^2 principle square root 8 y^5 z^2

Y square root 96t^5 - 9t^2 square root 6ty^2

3 - ---- = -6 z

25 t^3 x^3 + 15 u^6 x^3 ---------------------------------- 15 x^2

F=mv^2 --------- r