Provide an appropriate response.Solve the equation  for x. If y is positive and b is positive, what, if anything, can you determine about the signs of the solutions? Explain your reasoning.

What will be an ideal response?


The solutions are   or
. Since b is positive the first term in the numerator is negative. Since y is positive, the radicand is greater than b2 and the square root is, thus, greater than b. Therefore the first answer is positive and the second is negative.

Mathematics

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Graph the function by starting with the graph of the basic function and then using the techniques of shifting, compressing, stretching, and/or reflecting.f(x) =  - 4

A.

B.

C.

D.

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Factor the trinomial completely. If the trinomial cannot be factored, say it is prime.-x2 - 7x + 44

A. -(x - 11)(x + 4) B. -(x + 11)(x - 4) C. -(x - 11)(x + 1) D. -(x - 11)(x - 4)

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Find an equation for the hyperbola described. Graph the equation.Vertex at (0, 5); foci at (0, ) and (0, -)

A.  -  = 1

B.  -  = 1

C.  -  = 1

D.  -  = 1

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Graph the system of inequalities.3x + y ? -7x - 2y ? -7

A.

B.

C.

D.

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