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.
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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.
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)
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
Graph the system of inequalities.3x + y ? -7x - 2y ? -7
A.
B.
C.
D.