Functions - math word problems - page 114 of 296
In mathematics, a function is a relation between a set of inputs and a set of permissible outputs with the property that each input is related to exactly one output. The set of inputs is commonly referred to as the domain, while the set of outputs is referred to as the range.A function is typically represented by an equation that describes the relationship between the input and output. For example, the equation y = 2x + 1 describes a linear function, where y is the output and x is the input. The input (x) can be any real number, and for each value of x, there is a corresponding output (y) given by the equation.
Functions can also be represented graphically, with the input values on the x-axis and the output values on the y-axis. A graph of a function is a set of ordered pairs (x, y) that satisfy the equation.
There are different types of functions, such as polynomial functions, exponential functions (y=e^x), and trigonometric functions (sin,cos,tan ...), each with their own unique properties and behaviors.
Number of problems found: 5917
- Distance 22891
The cities of Košice and Prešov are 39.5 km apart. What will be their distance on a map with a scale of 1:5000000? - Short-circuit 22841
An external circuit with a resistance of 3.8 Ω is connected to an electrical voltage source with Ue=12 V. A current of 3 A passes through the circuit. Specify: source terminal voltage, the internal resistance of the source, maximum short-circuit current. - Percentage 22831
The school has a total of 76 pupils in the 7th grade. There are 34 girls. What percentage of boys go to 7th grade? - Standing 22821
The heating plant sees the observer standing 26 m from the bottom of the chimney and sees the top at an angle of 67 °. How high is the chimney of the heating plant?
- Numbers 22811
How many digits are in the numbers 1 to 100? - Kilometers 22721
Pupils walked 49 km in three days. The next day they ran 20% more than the first day, and on the third day, they ran 2 km less than the second. How many kilometers have they traveled each day? - The dealer
The dealer planned to sell 40% of the cars he had in stock in May. However, he sold 20 fewer cars, i.e., only 15% of cars. a) How many cars did he have in stock? b) How many cars did he sell in May? - Price reduction
The product is sold for 360 CZK, and the sales profit is 30%. What percentage will the sales profit be reduced if I reduce the product's price by 10%? - Determine 22633
Among all employees of one company, there are a total of 20% men and 80% women. If this company hired 45 new employees, of which 32 were men and 13 were women, exactly 30% of the company's employees would be men. Determine how many employees the company h
- According 22563
Three workers received a reward of CZK 12,600 for their joint work. They divided the money according to the work done. The first received 20% less than the second, and the third received 50% more than the first. How much did each of them get? - Co-workers 22553
Three co-workers earned a total of CZK 4,720 for repair work. They split so that the first got 20% more than the second and the third got 50% more than the second. How much did everyone get? - Double price reduction
TV price has been reduced twice, first by 15% and later by another 10% of the reduced price. After this double price reduction, Peter sold the TV for 8,874 crowns. What was the original price of the TV? - Measuring 22473
0.9 kg of paint is needed to paint a fence measuring 1.2 m x 9.6 m. How much paint will be required to paint a fence measuring 1.6m x 18m? - Slovakia-Sweden 22453
Our reporter at the Hockey World Cup during the Slovakia-Sweden match said we were in a two-goal deficit at the beginning of the third period. What was the state of the match when both teams had scored a total of 4 goals by then?
- The angles ratio
The angles in the ABC triangle are in the ratio 1:2:3. Find the angles' sizes and determine what kind of a triangle it is. - Employees 22433
The company has 250 employees. There are 30 more men than women. How many men work in the company, and how many women? - Savings
The depositor regularly wants to invest the same amount of money in the financial institution at the beginning of the year and wants to save 10,000 euros at the end of the tenth year. What amount should he deposit if the annual interest rate for the annua - Hectoliters 22383
The reservoir has the shape of a sphere with a diameter of 10 m. How many hectoliters of water is in it when it is filled to 90%? How many kg of paint are needed for painting if it is painted twice, and 1 kg of paint is enough for 6 square meters? - City plan
The city planned to repair the highway section for 20 hours. Workers reduced this time by 20%. How long did the repair take? (express in hours and minutes)
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