Find the coordinates of the vertex of the parabola.y = 6x2 - 60x + 156

A. (5, 0)
B. (5, 6)
C. (6, 5)
D. (6, 0)


Answer: B

Mathematics

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Solve the problem.What region in the xy-plane minimizes the value of ?R

A. The ellipse 9x2 + 100y2 = 900
B. The ellipse  +  = 1
C. The ellipse 100x2 + 9y2 = 1
D. The ellipse  +  = 1

Mathematics

Determine whether the equation is an identity. If it is an identity, prove it.cos2x - sin2x = 1 - 2 sin2x

What will be an ideal response?

Mathematics

Find f[g(x)] and g[f(x)].f(x) = 5x + 9; g(x) = 4x - 7

A. f[g(x)] = 20x - 26 g[f(x)] = 20x + 29  B. f[g(x)] = 20x + 29 g[f(x)] = 20x - 26 C. f[g(x)] = 20x - 29 g[f(x)] = 20x + 26  D. f[g(x)] = 20x + 26 g[f(x)] = 20x - 29 

Mathematics

Find sin ?, cos ?, tan ?, csc ?, sec ?, and cot ? for an acute angle ? in a right triangle. It is not necessary to find the measure of ?.tan ? = 

A. sin ? = 
cos ? = 
tan ? = 
csc ? = - 
sec ? = - 
cot ? = - 
B. sin ? = 
cos ? = 
tan ? = 
csc ? = 
sec ? = 
cot ? = 
C. sin ? = 
cos ? = 
tan ? = 
csc ? = 
sec ? = 
cot ? = 
D. sin ? = 
cos ? = 
tan ? = 
csc ? = 
sec ? = 
cot ? = 

Mathematics