Functions - math word problems - page 136 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: 5916
- Math test
In mathematics, there were 25 problems of three kinds: light 2 points, medium 3 points, heavy 5 points, the best score is 84 points. How many points did Jane have when she solved all the easy examples, half medium and one-third difficult? - Construct 10921
Construct the diamond ABCD so that its diagonal BD is 8 cm and the distance of apex B from the line AD is 5 cm. Specify all options - Car down
Sarah buys a car costing $12,500. It depreciates value by 8% in the first year, 10% in the second year, and 5% in the third year. Calculate the value of a car after the third year. - Alien ship
The alien ship has the shape of a sphere with a radius of r = 3000m, and its crew needs the ship to carry the collected research material in a cuboid box with a square base. Determine the length of the base and (and height h) so that the box has the large
- Pupils 10781
Of the 660 pupils at the school, 60% are girls. 25% of girls go to grade 7. How many school girls go to 7th grade - Family
The twins Nina and Ema have five years younger brother Michal. Together have 43 years. How old is Michal? - Three-day trip
The cyclist on three-day trip travel 30% of the total route on the first day, 3/5 of the rest on the second day, and 35 km on the third day. How many kilometers did cyclists travel each day, and how many? - Butter fat
A quarter of a kg of butter contains 82% fat. How many grams of fat are in four cubes of butter? - Glasses
There are 36 pupils in the class. Nine girls wear glasses. Boys with glasses are five less than girls without glasses. Boys without glasses are two times more than girls without glasses. How many boys and how many girls?
- Dividing money
Vilem, Cenek, and Edita divided the money they earned by spreading the leaflet. Vilem got 240 CZK more than Cenek and twice more than Edita. Edita got 400kc less than Vilem. How much did each of them earn? - Potatoes 10581
Potatoes contain 76.1% starch. How much starch does 250g of potatoes contain? - The tourist
The tourist traveled 78km in 3 hours. Part of the journey went on foot at 6km/h, the rest of the trip by bus at 30km/h. How long did he walk? - Three glasses
Three glasses of different colors have different volumes. Red 1.5 liter is filled from 2/5, blue 3/4 liter is filled from 1/3, and the third green 1.2 liter is empty. Pour green glass 1/4 of the contents from the red glass and 2/5 of the content from the - Number
What number should be placed instead of the asterisk in the number 702*8 to get a number divisible by 6?
- School trip
On a school trip, 17 of the 28 children bought ice cream or chocolate in a candy store. Twelve children bought chocolate, and nine children bought ice cream. How many children bought ice cream and chocolate? How many children did not buy ice cream? How ma - Water in vegetables
Tomatoes in the store contain 99% water. After being transported to the shop, they were slightly dried and contained only 98% of water. How many kgs of tomatoes are in the store if there were 300 kg in stock?` - Participating 10481
In a particular village, two candidates ran for mayor. Candidate A was voted for by 70% of all voters, of whom 60% were women. Candidate B was voted for by all other voters and 20% of women from all participating voters. How many men voted for candidate B - Three excursions
Each pupil of the 9A class attended at least one of the three excursions. There could always be 15 pupils on each excursion. Seven participants of the first excursion also participated in the second, 8 participants of the first excursion, and 5 participan - Elimination: 10441
Solve the linear system of equations by Gaussian elimination: 3x1 −2x2 −5x3 + x4 = 3 2x1 −3x2 + x3 + 5x4 = −3 x1 + 2x2 −4x4 = −3 x1 - x2 −4x3 + 9x4 = 22
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