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51-52. Rational Inequalities Solve the inequality. (These exercises involve expressions that arise in calculus.)
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EBK ALGEBRA AND TRIGONOMETRY
- Getting Ready You should be able to complete these vocabulary and concept statements before you proceed to the practice exercises. Fill in the blanks. ax2+bxc0a0 and 3x26x0 are examples of ____ inequalities.arrow_forwardSales A soft-drink vendor at a popular beach analyzes his sales records and find that if he sells x cans of soda pop in one day, his profit (in dollars) is given by P(x)=0.001x2+3x1800 What is his maximum profit per day, and how many cans must he sell for maximum profit?arrow_forwardSolve x22x150 algebraically. Write the solution in interval notation.arrow_forward
- Solve x2x12arrow_forwardThe cost function for a certain company is C=60x+300 and the revenue is given by R=100x0.5x2. Recall that profit is revenue minus cost. Set up a quadratic equation and find two values of x (production level) that will create a profit of $300.arrow_forwardProfit A small-appliance manufacturer finds that the profit P in dollars generated by producing x microwave ovens per week is given by the formula P=110x(300x) provided that 0x200. How many ovens must be manufactured in a given week to generate a profit of 1250?arrow_forward
- -6x(x+1)2(3-x)>0 Solve the polynomial inequalityarrow_forwardMULTIPLE CHOICE QUESTION Steven uses the quadratic formula to find the zeros of the quadratic function f(x) = x² - 2x - 4. Before simplifying, he finds the zeros to be: -2+√/20 2 2+√/20 2 -2+√ 12 2+√=12 2 Rewatch Submitarrow_forward(Quadratic Inequalities) The area of the rectangular garden whose length is (x+8) meters and width is (x-2) meters is at least 120 meters. Find the length and width of the rectangular garden.arrow_forward
- Find the domain of the function. 9x + 1 X) - 7x + 6)(4x - 8) O (x | x€ real numbers) Find the domaln of the functlon. 9- 8x x2 + 4x - 45 f(x) = O {x | x€ real numbers} O {x |x + 0} O {x | x + -9, x + -5} O (x |x + 9, x * 5} O {x | x + -9, x + 5}arrow_forward9 x + 8 Solve x(0)arrow_forwardA plumber charges a $25 service fee and $50 per hour. If x represents the number of hours the plumber is at your house, the total cost for the plumber’s service is represented by f(x)=50x + 25. What is a possible domain for this solution? A {1,2,3,4} B{75,125,175,225} C{x|1arrow_forward
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