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The doctrine of holding out is a legal principle that is an application of the doctrine of estoppel. It arises when a person or organization holds themselves out to the public as having a particular authority or relationship with another party, and another party relies on that representation to their detriment. In such a case, the person or organization may be estopped from denying the existence of the authority or relationship. For example, if a company holds out a person as its agent or representative, and that person enters into a contract on behalf of the company with a third party, the company may be estopped from denying the existence of the agency relationship if the third party relied on that representation to their detriment. Vicarious liability refers to a situation where one party is held liable for the actions of another party, such as an employer being held liable for the actions of their employee. Agency refers to a relationship where one party acts on behalf of another party with their authority and under their control. Privity of contract refers to the relationship between parties who have entered into a contract with each other.
I. 22x² - 97x + 105 = 0
II. 35y² - 61y + 24 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 38x + 352 = 0
Equation 2: y² - 38y + 312 = 0
I. 2y2 + 11y + 15 = 0
II. 3x2 + 4x - 4= 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: 11x² - 93x + 88 = 0
Equation 2: 13y² + 118y + 93 = 0
I. 5x² -14x + 8 = 0
II. 2y² + 17y + 36 = 0
Solve the quadratic equations and determine the relation between x and y:
Equation 1: x² - 36x + 288 = 0
Equation 2: y² - 36y + 320 = 0
I. 17x² - 26x – 16 = 0
II. 17y²- 26y + 9 = 0
I. 4x² - 15x + 9 = 0
II. 20y² - 23y + 6 = 0
I. 25p + 2(2p2 – 1) = 8(p + 5)
II. 8q2 + 35q – 78 = 0
I. 7x² + 27x + 18 = 0
II. 19y² - 27y + 8 = 0