Use the substitution method or the elimination method to solve the system. If the system has infinitely many solutions, express the ordered pair in terms of x or y.  8x - 5y = 3-24x + 15y = -12

A.
B. no solution
C. (8, 3)
D. (3, 4)


Answer: B

Mathematics

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For the curve r(t), find an equation for the indicated plane at the given value of t.r(t) = (t2 - 3)i + (2t - 10)j + 6k; osculating plane at t = 9.

A. z = 6 B. x + y + (z - 6) = 0 C. x + y + (z + 6) = 0 D. z = -6

Mathematics

State the name of the property illustrated.-8(4 + 6) = -32 - 48

A. associative property of addition B. commutative property of addition C. distributive property of multiplication over addition D. commutative property of multiplication

Mathematics

In the indicated voting system, the weights represent, in order, voters A, B, C, and so on. Write out all of the winning coalitions.[12 : 1, 3, 5, 7]

A. {A, C, D}, {B, C, D}, {C, D} B. {A, B, C, D}, {A, C, D}, {B, C, D} C. {A, B, C, D}, {A, B, D}, {A, C, D}, {B, C, D}, {C, D} D. {A, B, C, D}, {A, C, D}, {B, C, D}, {C, D}

Mathematics

Solve the problem.A 80-m-long, 8.9-mm-diameter rope hangs free from a ledge. The density of the rope is 55 g/m. How much work is needed to pull the entire rope to the ledge?

A. 176g J B. 176,000g J C. 4.4g J D. 16g J

Mathematics