Find a parametrization for the line segment beginning at P1 and ending at P2.P1(-5, 2, -1) and P2
A. x = 5t - 5, y = 2, z = t - 1, 0 ? t ? 1
B. x = -5t, y = 2, z = - t + 1, 0 ? t ? 1
C. x = -5t, y = 2t, z = - t + 1, 0 ? t ? 1
D. x = 5t - 5, y = 2t, z = t - 1, 0 ? t ? 1
Answer: A
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The function f is one-to-one. Find its inverse.f(x) =
A. f-1(x) =
B. f-1(x) =
C. f-1(x) =
D. f-1(x) =
Use the quadratic formula to solve the equation. (All solutions are real numbers.)s2 +
s +
= 0
A.
B.
C.
D.
Solve the system of equations using substitution.
A. x = 2, y = 3; x = 10, y = -5 or (2, 3), (10, -5) B. x = -3, y = 8; x = 5, y = 0 or (-3, 8), (5, 0) C. x = 3, y = 2; x = -5, y = 10 or (3, 2), (-5, 10) D. x = 8, y = -3; x = 0, y = 5 or (8, -3), (0, 5)
Solve the problem.Suppose that the supply and demand equations of a new CD at a store are given by q = 3p - 12 and respectively, where p is the unit price of the CD's in dollars and q is the quantity.(a) What is the supply when the price is $10?(b) What is the demand when the price is $10?(c) Find the equilibrium price and the corresponding number of units supplied and demanded. (d) Find where the two lines cross the horizontal axis and give an economic interpretation of these points.
What will be an ideal response?