Quadratic equation + algebra - practice problems - page 12 of 13
Number of problems found: 259
- Copiers
The new copier is copying a folder of papers 5 minutes faster than the old one. The operator used new, but out of toner and exchange took 5 min at that time copied on the old. The whole work was done in 9 min. How long would the work do only by the old co - Difference 1632
The difference between the two numbers is 7. Their product 144. What are the numbers? - Product - quadratic equation
The product of the two numbers is 900. If we increase the lowest number by two, its product will increase by 150. Determine both numbers. - QuizQ2
The square of the first number is equal to three-fifths of the second number. Determine both numbers if you know that the second number is five times greater than the first, and neither of the numbers is not equal to zero.
- Tourist Jirka
The distance between points A and B is 13.5 km. Jirka went from point A to point B unknown speed and for an unknown period. Back to point A went slower by 3 km/h, meaning it went 20 minutes more. How long does Jirka take the return journey? - Quadratic function
It is given a quadratic function y = -4x²+5x+c with an unknown coefficient c. Determine the smallest integer c for which the graph of f intersects the x-axis at two different points. - Automaker
The automaker now produces daily 4 new cars more than last year, so the production of 360 cars will save just one full working day. How many working days to produce 360 vehicles were needed in the previous year? - Variations 4/2
Determine the number of items when the count of variations of the fourth class without repeating is 600 times larger than the count of variations of the second class without repetition. - Sum-log
The sum of two numbers is 32, and the sum of their logarithms (base 10) is 2.2. Determine these numbers.
- Trains
From station 130 km away started passenger train and after 1.9 hours after the express train, which travels 27 km an hour more. Express train finish journey 5 minutes early. Calculate the average speed of these two trains. - Abyss
The stone fell into the abyss: 2 seconds after we heard it hit bottom. How deep is the abyss (neglecting air resistance)? (gravitational acceleration g = 9.81 m/s² and the speed of sound in air v = 343 m/s) - Equation
Equation -2x²+bx -82 =0 has one root x1 = -8. Determine the coefficient b and the second root x2. - Tubes
Iron tubes in the warehouse are stored in layers so that each tube's top layer fits into the gaps of the lower layer. How many layers are needed to deposit 100 tubes if the top layer has 9 tubes? How many tubes are in the bottom layer of tubes? - Pure quadratic equation
Solve pure quadratic equation -7x² +4 = 0.
- Discriminant
Determine the discriminant of the equation: 7x²-x+7=1 - Root
The root of the equation (x-10)² +4 = x² +35x is (equal or greater or less than zero). ... - Sequence
The arithmetic sequence is given: Sn=2304, d=2, an=95 Calculate a1 and n. - Similarity
The area of the regular 10-gon is 563 cm². The area of similar 10-gon is 606 dm². What is the coefficient of similarity? - Cinema
The Cinema auditorium is built for 3300 people. The first row is planned for 36 seats, and each next gradually 4 more. How many rows of seats will have an auditorium?
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