Find the Vertices and Asymptotes of the Hyperbola $25 y ^ { 2 } - 4 x ^ { 2 } = 100$

question 317

Multiple Choice

Find the vertices and asymptotes of the hyperbola. $25 y ^ { 2 } - 4 x ^ { 2 } = 100$

• A)vertices: (±2,0), asymptote: \(y = \pm \frac { 5 } { 2 } x\)
• B)vertices: (0,±2), asymptote: \(y = \pm \frac { 2 } { 5 } x\)
• C)vertices: (±2,0), asymptote: \(y = \pm \frac { 2 } { 5 } x\)
• D)vertices: (0,±2), asymptote: \(y = \pm \frac { 5 } { 2 } x\)
• E)vertices: (±2,5), asymptote: \(y = \pm \frac { 2 } { 5 } x\)

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Definitions:

Declining

A term indicating a decrease or reduction in quantity, quality, or importance over time.

Cost Function

A mathematical relationship describing how the cost of production changes with changes in the quantity of output produced.

Competitive Market

A market structure characterized by many buyers and sellers, none of whom can influence market price significantly on their own.

Marginal Cost Curve

A graphical representation showing how the cost of producing one more unit varies with the quantity produced.