Complete the square in x and y to find a Cartesian equation of the form
or
for the given equation.9x2 - 16y2 + 36x - 64y - 172 = 0
A. -
= 1
B. -
= 1
C. -
= 1
D. -
= 1
Answer: C
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Given functions f and g, perform the indicated operations.f(x) = 4x - 3,g(x) = 3x - 7Find fg.
A. 12x2 + 21 B. 7x2 - 37x - 10 C. 12x2 - 16x + 21 D. 12x2 - 37x + 21
Find n(A) for the set.A = {?, 0}
A. n(A) = 0 B. n(A) = ? C. n(A) = 1 D. n(A) = 2
Solve the problem.The Van der Waals equation provides an approximate model for the behavior of real gases. The equation is P(V, T) = -
, where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial derivative of the function with respect to each variable.
A. PV = - +
; PT =
B. PV = ; PT =
-
C. PV = -
; PT =
D. PV = -
; PT =
Solve the problem.The map shows the states Tennessee, Alabama, Georgia, and Mississippi. Find a route that starts in Mississippi and crosses each common state border exactly one time.
A. MS ? AL ? TN ? GA ? MS ? TN B. MS ? TN? AL ? MS ? GA C. No such route exists. D. MS ? TN ? GA ? MS ? TN ? AL