Quadratic equation + equation - practice problems - page 3 of 28
Number of problems found: 548
- Descending 81797
The sum of the first two terms of the descending geometric sequence is five quarters, and the sum of the infinite geometric series formed from it is nine quarters. Write the first three terms of the geometric sequence. - Recommended: 81764
If the interval between bus arrivals is shortened by one minute, there will be 5 more buses on this route per hour. How many buses ran on the original route? (Recommended: solve with an experiment or a table where we look for the dependence between the le - Participated 81728
The school volleyball tournament was played on a one-on-one basis. One match lasted 15 minutes, and 3 hours and 45 minutes were played. Calculate how many teams participated. - Determine 81587
Determine the type of polygon if the number of all diagonals is 90. (Write down the number of its pages.)
- Kilograms 81234
The price of 1 kg of pears is 7 crowns higher than the price of 1 kg of apples. The seller sold 2 kg more apples than pears. He received the same amount for pears and apples, namely 420 CZK. How many kilograms of apples and how many kg of pears did he sel - Quatrefoil 81138
Gothic quatrefoil is an ornament in which four identical touching smaller circles are inscribed in a larger circle, as you can see in the picture. The radius of the great circle is one meter. Calculate the radius of the smaller circle in meters. - Quadrilateral 81033
The foundations of a regular truncated quadrilateral pyramid are squares. The lengths of the sides differ by 6 dm. Body height is 7 dm. The body volume is 1813 dm³. Calculate the lengths of the edges of both bases. - Participants 80965
After the meeting, all participants shook hands with each other - a total of 105 times. How many people were there at the meeting? - Increases 80772
The product of two numbers we know. If we increase the first factor by 2 and decrease the second factor by two, the product increases by 4. How much does the product change if we decrease the first factor by 3 and increase the second factor by 3?
- Determine 80662
Given the function y = x² - 4x + 3. Determine all real numbers z such that g(x) = g(-2). - Combinations 80637
If the number of elements decreases by 4, the number of combinations of the second class from these elements decreases three times. How many elements are there? - Two conductors
Two conductors have resistance Rs=5 ohms when connected in series and Rp=1.2 ohms when connected in parallel. Calculate the value of the resistors. - Equation 80525
Write the equation of the parabola that passes through the points: A[1,1] B[3,-1] C[1,2] - Mountain climbing
Ken and his brother decided to go on mountain climbing 8 miles from their house to Mt. Daraitan at a rate of x mph (miles per hour). For the return trip, it was 2 mph faster. It took them 6 hours for the entire round trip. What is the x?
- The sum 27
The sum of a geometric progression's second and third terms is six times the fourth term. Find the two possible values of the common ratio. - Sequence 80450
How many terms does the sequence have if a1=4, Sn=589, d=3, n=? - FX parabola
Determine the equation of the parabola going through the following co-ordinates (1;2), (-1;-2), and (2;7) - Parabolic 79764
In a tennis match, Adrien is 5 m from the net when he hits a ball 80 cm off the ground. The maximum height of its parabolic path passing through the net was 1.5 m. If the length of the court is 23.77 m, will the ball land inside the court? - Find k
Find k so that the terms k-3, k+1, and 4k-2 form a geometric sequence. Show your solution.
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