Write the equation in vertex form. Identify the vertex.y = x2 + 5x + 2
A. y = (x + 5)2 - 23; (-5, 23)
B. y = (x + 5)2 - 23; (5, 23)
C. y = 
2 - 
; 
D. y = 
2 - 
; 
Answer: D
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Find the equation for the plane tangent to the parametrized surface S at the point P.S is the cone r(r, ?) = r cos ?i + r sin ?j + 3rk; P = 
What will be an ideal response?
Provide an appropriate response.A large oil company produces three grades of gasoline: regular, unleaded, and super-unleaded. To produce these gasolines, equipment is used which requires as input certain amounts of each of the three grades of gasoline. To produce a dollar's worth of regular requires inputs of src="https://sciemce.com/media/4/ppg__tttt0616191201__f1q58g3.jpg" alt="" style="vertical-align: -4.0px;" /> worth of super-unleaded. To produce a dollar's worth of super-unleaded requires inputs of 
worth of regular, $0.18 worth of unleaded, and $0.17 worth of super-unleaded. To produce a dollar's worth of unleaded requires inputs of $0.14 worth of regular, 
worth of unleaded, and 
worth of regular, $0.17 worth of unleaded, and $0.11 worth of super-unleaded. In addition, the oil company has final demands for each of the different grades of gasoline. Find the coefficient matrix that would be used in determining the total output of each grade of gasoline.
A.
A = 
B.
A = 
C.
A = 
D.
A = 
Solve the problem.If the police have 8 suspects, how many different sets of 5 suspects can they select for a lineup?
A. 336 B. 40 C. 6720 D. 56
Solve the system of equations.5x + 2y + z = -112x - 3y - z = 177x + y + 2z = -4
A. (0, 6, -1) B. (0, -6, 1) C. (3, 0, -4) D. (-3, 0, 4)