Provide an appropriate response.If a ? b, is it always true that a + 6 ? b + 6? Explain.

What will be an ideal response?


Explanations will vary. One possible answer:Yes. Adding a positive or negative number to both sides of an inequality produces an equivalent inequality.

Mathematics

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Find the critical point(s) of the function. Then use the second derivative test to classify the nature of each point, if possible. Finally, determine the relative extrema of the function. ? 

A. ; saddle point: 
B. ; relative maximum value: 
C. ; relative minimum value: 

Mathematics

Find the standard equation of the parabola with the given focus and directrix.Focus: (0, 3); directrix: y = 1

A. y2 = 4(x - 2) B. x2 = -4(y - 2) C. y2 = -4(x - 2) D. x2 = 4(y - 2)

Mathematics

Graph the inequality.x > 9

A.

B.  

C.  

D.

Mathematics

If possible, factor the polynomial completely. If a polynomial cannot be factored, state that it is prime.27x2 - 117x - 90

A. 9(3x - 2)(x + 5) B. (27x + 18)(x - 5) C. 9(3x + 2)(x - 5) D. 27x2 - 117x - 90

Mathematics