Question
Between what values of x is the expression 19x -
2x2Â - 35 positive?Solution
So, 19x - 2x2Â - 35 > 0 Or, 2x2Â - 19x + 35 < 0 Or, 2x2Â - 14x - 5x + 35 < 0 Or, 2x(x - 7) - 5(x - 7) < 0 Or, (2x - 5) (x - 7) < 0 So, x = 2.5 or x = 7 For any value of 'x' > 7, the value of expression 2x2Â - 19x + 35 becomes, positive. So, 'x' lies between 2.5 and 7.
A shopkeeper bought three items: a microwave for Rs. 25w, a refrigerator for Rs. 40w, and a washing machine for Rs. 35w. The average price of these item...
Tarun and Ajit are wardrobe dealers. The cost of the wardrobe is Rs 44,000. Is. Tarun gives a discount of 18% on the full price, while Ajit gives Rs 38,...
A manufacturer sells an article to a wholesaler at a profit of 20%. The wholesaler sells it to a retailer at a profit of 25%, and the retailer sells it ...
Selling price of article ‘A’ when sold at a profit of 20% is Rs. 150 more than its selling price when sold at a loss of 30%. If the cost price of ar...
- A vendor got some mangoes at Rs. 200 per dozen and sold them at Rs. 22 per piece. He sold 7 dozen mangoes in all. Determine the total profit he made.
A bought an article at 20% less of the marked price and sold it at 25% more than the marked price. Find the profit earned by him.
- The selling price of a product when it is sold at a profit of 10% is Rs. 40 more than its selling price when it is sold at a loss of 25%. What would be the...
- Priya and Neha went to a stationery shop. Priya had 30% of the book's marked price, which was Rs. 60 less than the selling price. Neha had 55% of the marke...
A shopkeeper marked an article P% above its cost price and sold it for Rs. 1150 after giving a discount of 20%. If the shopkeeper had a loss of 8% on th...
Roshan purchased 100 rolls of paper for Rs. 27 per roll. He spent Rs. 600 on their transportation. He also paid 50 paise per roll for packing of each ro...
Relevant for Exams:
