Pauley graphs the change in temperature of a glass of hot tea over time. He sees that the function appears to decrease quickly at first, then decrease more slowly as time passes. Which best describes this function? It is linear because the graph decreases over time. It is linear because there is both an independent and a dependent variable. It is nonlinear because linear functions are increasing functions. It is nonlinear because linear functions increase or decrease at the same rate.

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general 11 months ago 2979

Subtract (enter answer is standard form)(-2x^4-2x^3+8x^2+2)-(x^4-5x^3+2x+7)Which graph represents the inequality? (has picture)2x-3y≤6Multiply8y^4(2y^4-3y^3+5y)Solve for x0=7x^2+x+5Harold and Helen both spend 3 hours reading a novel. Helen reads 30 more pages than Harold. Helen reads at least 40 pages in 1 hour, but no more than 70 pages in 1 hour.Which statement correctly describes the range of pages Harold reads?Harold reads more than 90 pages, but less than 180 pages.Harold reads at least 90 pages, but no more than 180 pages.Harold reads more than 150 pages, but less than 240 pages.Harold reads at least 150 pages, but no more than 240 pages.PB&P sells peanut butter and pickle sandwiches. The Standard special sells for $2 and the Deluxe special sells for $4.50. When all related business expenses are included, the Standard special costs $0.50 to prepare and the Deluxe special costs $1.25 to prepare.Last Monday, PB&P sold at least $200 worth of Standard and Deluxe peanut butter and pickle sandwich specials and its expenses were no more than $100. At least 30 Standard special were sold.Let x be the number of Standard Specials sold last Monday and y be the number of Deluxe specials sold last Monday.Which ordered pairs representing a combination of Standard specials and Deluxe specials could have been sold last Monday and make sense in the context of the situation?Select each correct answer.(30,68)(30,68)(80,40.5)(80,40.5)(60,70)(60,70)(40,60)(40,60)(50.5,40)Effie is selling candles to raise money for new soccer league equipment. A small candle sells for $8 and a large candle sells for $12. The number of large candles Effie sells must be greater than or equal to 2 times the number of small candles she sells. She has at most 48 candles to sell.The number of small candles sold is represented by x and the number of large candles sold is represented by y.What is the maximum revenue she can make?$448$512$576$588What is the product of 4−5i and 2+3i?Enter your answer, in standard form, in the box.

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general 11 months ago 6414

A theater manager is planning an upcoming concert. Regular tickets will cost $12 and student tickets will cost $8. The theater can seat at most 200 people. The manager wants to collect at least $1000 from ticket sales.Let x represent the number of regular tickets sold. Let y represent the number of student tickets sold.Which inequalities are among the constraints for this situation?Select each correct answer.12x+8y≤100012x+8y≥1000x+y≥1000x+y≤200x+y≥20012x+8y≤200

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general 11 months ago 1842

Mr. Weber drives to a landscape supply center to buy sand and gravel. He needs at least 2 lb of sand. The amount of gravel he will buy will be at least twice the amount of sand he will buy. The center has 6 lb of sand and 13 lb of gravel in stock.The graph shows the feasible region, where x represents the number of pounds of sand and y represents the number of pounds of gravel.Which ordered pairs meet all the constraints and make sense in the context of the situation?Select each correct answer.(2 1/2, 10)(3, 12)(4,6)(5, 8 1/2)

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general 11 months ago 3255