State whether f(x) has a maximum value or a minimum value, and find that value. f(x) = - 7x² - 2x+5 Select the correct choice below and fill in the answer box to complete your choice. (Type an integer or a simplified fraction.) OA. The function has a minimum value and the corresponding value is OB. The function has a maximum value and the corresponding value is
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- Owners of a recreation area are filling a small pond with water. Let y represent the total amount of water in the pond (in liters). Let x represent the total number of minutes that water has been added. Suppose that x and y are related by the equation y=300+32x. Answer the questions below. Note that a change can be an increase or a decrease. For an increase, use a positive number. For a decrease, use a negative number. What was the starting amount of water in the pond? liters What is the change per.minute in the amount of water in the pond? litersFind the value of x32x² + 2x + 2 . Evaluate. x2 +2
- Subtract. (7x – 4x² + 6x - 7) – (3x³ - 7x² - 4x +2) (7x -4x + 6x-7) - (3x - 7x² - 4x + 2) - %3D (Simplify your answer. Use integers or fractions for any numbers in the expression)A soccer player kicks a ball from the ground (0,0). The ball reaches a maximum height of 18 meters at 3 seconds. F = a(x - b )^2 + c Identify the values of the variables (letters) b, and c. For variable a determine if it is positive or negative.Multiply. (x + 12)2 (x+ 12)? = (Simplify your answer.)
- The volume of a rectangular prism is represented by the function x3 + 11x² + 20x – 32. The width of the box is x - 1, while the height is x + 8. Find the expression representing the length of the box. Ox-6 Ox- 4 Ox+4 Ox+6Owners of a recreation area are filling a small pond with water ley Y represent the total amount of water in the pond (in liters) let X represent the total number of minutes that water has been added. Suppose that X and Y are related by the equation y= 600 +27x answer the question below. note that a change can be an increase or a decrease. for An increase, use a positive number for a decrease, use a negative number. what was the starting amount of water in the pond ? what is the change per minute in the amount of water in the pond ?The domain of the variable in the expression x - 3x + 4is .
- Divide. (2x²+19x+38)+(2x+5) Your answer should give the quotient and the remainder. Quotient: Remainder: □ XTo host an event at a popular convention center, it costs $700 plus $35 per person attending. Write a rational expression that represents how much you would need to charge each attendee in order to cover the cost of hosting the event. Let x be the number of attendees.Multiply and simplify. -4x(3x5 - 4x² + x) Select one: A. -12x5 + 16x³ − 4x² - B.-12x6 + 16x³4x² ⒸC. -12x5 - 16x³ + 4x² D. 12x + 16x² - 4x² E. -12x616x³4x²