Adventure Time: Quest #4

Which expression is equivalent to ....?

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The given equation relates the number p and n, where n is not equal to 0 and p>9. Which equation correctly expresses n in terms of p?

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One of the factors of 2x^3 + 42x^2 + 208x is x+b, where b is a positive constant. What is the smallest possible value of b? 

(a)  

x^2-8x+8=0

One solution to the given equation can be written as 4+√k, where k is a constant. What is the value of k?

• 2

• 4

• 8

• 16

Which statement describes the solution to the equation above?

• 2 is the only solution.

• -2 is the only solution.

• 2 and -2 are both solutions.

• There are no solutions.

What is the solution set of the equation above?

• {-1}

• {5}

• {-1,5}

• {0,  –1, 5}

In the given system of equations, a is a constant. The graphs of the equations in the given system intersect at exactly one point, (x, y), in the xy-plane. What is the value of x?

• -8

• -6

• 6

• 8