Find the Vertex, the Y-Intercept, and the X-Intercepts (If Any $P ( x ) = - 5 x ^ { 2 } + 260 x - 2660$

question 98

Multiple Choice

Find the vertex, the y-intercept, and the x-intercepts (if any exist) , and graph the function.
-The daily profit in dollars of a specialty cake shop is described by the function $P ( x ) = - 5 x ^ { 2 } + 260 x - 2660$ , where $x$ is the number of cakes prepared in one day. Find $P ( 36 )$ .

• A) \(\mathrm { P } ( 36 ) = 5540\)
• B) \(\mathrm { P } ( 36 ) = - 18,500\)
• C) \(\mathrm { P } ( 36 ) = 13,180\)
• D) \(\mathrm { P } ( 36 ) = 220\)

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Definitions:

Gross Wages

Gross Wages refer to the total amount of compensation earned by an employee before any deductions or taxes are taken out.

Net Wages

The amount of an employee's earnings after all deductions, such as taxes and retirement contributions, have been subtracted.

Allowance or Exemption

A reduction in the amount of income that is subject to tax, or a legal deduction from reported income to reduce taxable income.

Nontaxable

Income or transactions that are not subject to taxation by government authorities.