3) (1Solve the following inequalities algebraically or graphically. If you use a graph, youmust show a screen-shot of it and explain how you use it to determine the solution. Theanswer must be written using Interval notation.a) 3x²-5> 7Solution interval:b)21-8xx>8Solution interval:

To solve the following inequalities.a 3x2-5>7b 21-8xx>8

Answered: 3) (1 Solve the following inequalities…

Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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2.) The Aitken Skateboard Company makes custom skateboards. They have figured out that their profit can be modeled by the equation: P = -2b? + 14b – 20 where b is the number of skateboards produced (in thousands >so for example 1,000 skateboards would be plugged in as 1) and P is the company's profit (in hundreds of thousands of dollars). • How many skateboards should they produce to maximize their profit? What is their max profit? Explain how you found that value. • How many skateboards should they produce to make zero profit? (Known as the break even point). Explain how you found that value. What is the companies ' profit if they produce 3,000 skateboards? 4,500 skateboards? Explain how you found those values.
A study of the finances of Armen motors has shown that the profit of the company can be described by the equation : P = -2 (N-420)² + 650,000 where "P" represents profit in dollars, "N" represents number of cars sold. [1,1,1,mark] a) What is the maximum possible profit? B) How many cars must be sold to achieve this profit? C) calculate the amount of profit if 480 cars sold.
3) Without graphing, determine the number of solutions for Sy-3x = 6 (3y - 9x = 18
8. Solve each equation or inequality algebraically. (a) p²-2p-15= 0 (b) x² + 4 = 19 (c) v² - 12v-81 = -9 (d) 2x² - 7x - 49 > 0 (e) n²-3n ≥0
A company produces lamps, for which the variable cost is $7 per lamp and the fixed costs are $25000. They will sell the lamps for $80 each. Let be the number of lamps produced. a) Write an expression to represent the total cost. C(x) = b) Write an expression to represent the total revenue. R(x) = c) Find the number of lamps which must be produced to break even.
Isolate the variable and solve. To isolate x, we must eliminate the negative sign in front of the x. Because -x means –1x, we can do this by multiplying (or dividing) both sides of the inequality by -1. We are multiplying by a negative number. Thus, we must reverse the direction of the inequality symbol. (-1)(-x) = (-1)(-14) Multiply both sides by -1 and change the sense of the inequality. x < 14 Simplify.

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3) (1 Solve the following inequalities algebraically or graphically. If you use a graph, you must show a screen-shot of it and explain how you use it to determine the solution. The answer must be written using Interval notation. a) 3x²-5>7 Solution interval: b) 21-8x X > 8 Solution interval: