Solve the Problem $\frac { x ^ { 2 } } { 7 } - \frac { y ^ { 2 } } { 3 } = 1$

question 82

Multiple Choice

Solve the problem.
-The hyperbola $\frac { x ^ { 2 } } { 7 } - \frac { y ^ { 2 } } { 3 } = 1$ is shifted up 5 units and left 8 units. Find an equation for the new hyperbola and find the new vertices.

• A) \(\frac { ( x + 8 ) ^ { 2 } } { 7 } - \frac { ( y - 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 8 \pm \sqrt { 7 } , 5 )\)
• B) \(\frac { ( x + 5 ) ^ { 2 } } { 7 } - \frac { ( y - 8 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 8,5 \pm \sqrt { 3 } )\)
• C) \(\frac { ( x + 8 ) ^ { 2 } } { 7 } - \frac { ( y - 5 ) ^ { 2 } } { 3 } = 1\); vertices: \(( - 8,5 \pm \sqrt { 3 } )\)
• D) \(\frac { ( x - 8 ) ^ { 2 } } { 7 } - \frac { ( y + 5 ) ^ { 2 } } { 3 } = 1 ;\) vertices: \(( - 8 \pm \sqrt { 7 } , 5 )\)

Understand the role of the hypothalamus in regulating pituitary functions.

Identify the hormones secreted by the anterior pituitary and understand their functions.

Recognize the influence of increasing and decreasing ADH levels.

Understand the basic terminology and roles within the legal system (e.g., plaintiff, defendant, justice, judge).

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Definitions:

Long-run Supply Function

A relationship that shows how the quantity supplied of a good changes over time as all production factors and costs can be varied.

Rental Apartments

Housing units that are leased to tenants for a set period of time as defined in a rental agreement.

Inverse Demand Function

A mathematical representation showing how the price of an item needs to adjust to achieve a certain level of demand; it's the reverse of the demand function.

Inverse Supply

The inverse supply curve represents the relationship between the price of a good and the quantity supplied, plotted with price on the vertical axis and quantity on the horizontal.