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51-52. Rational Inequalities Solve the inequality. (These exercises involve expressions that arise in calculus.)
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Algebra and Trigonometry (MindTap Course List)
- 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
- MULTIPLE 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_forwardHelp.arrow_forwardAPPLIED CALCULUS (UPVOTE WILL BE GIVEN. PLEASE WRITE THE SOLUTIONS LEGIBLY. NO LONG EXPLANATION NEEDED. BOX THE FINAL ANSWER.)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_forwardA 6. The factored form of a quadratic expression is (3x – 4)(x + 5). What are the x-intercepts of the related quadratic function? 4 and 5 and -5 and -5 3 and 5arrow_forwardf(x) = (x - 1)(x - 2)(x + 3)(x + 4)(x + 4) a. How many factors does this function have? b. What are the solutions to f(x) = 0? (Set the factors =0) -5 c. What are the x-intercepts to the graph of the function? -5 5 *We find the degree of the function in factored form by adding the degree of all factored expressions. d. How does the degree of the polynomial function compare to the x-intercepts of the graph of the function? -5-arrow_forward
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