Functions - practice problems - page 7 of 13
Number of problems found: 252
- Sleep vs. watch TV time
Using a data set relating to the number of episodes I watch on TV in a day (x) versus the number of hours of sleep I get that night (y), I construct the linear model y=−0.6x+11 Which of the following general observations can you make from this model? a) I - Headphones
Charlie is saving money to buy a pair of headphones for $225. He has $37 so far and can save $15 per week. In how many weeks will he have enough money to buy the headphones? - Ratio of triangles areas
In an equilateral triangle ABC, the point T is its center of gravity, the point R is the image of the point T in axial symmetry along the line AB, and the point N is the image of the point T in axial symmetry along the line BC. Find the ratio of the areas - Telco company
The upstairs communications company offers customers a special long-distance calling rate that includes a $0.10 per minute charge. Which of the following represents this fee schedule, where m represents the number of minutes and c is the call's overall co - Borrowing bicycle
Jacob lent a bicycle to friends who wanted to ride it. For a three-hour bike ride, Jacob received two chocolates. Yup. If you wanted a bike for 2 hours, you had to give Jacob 12 candies. Peter gave Jacob 1 chocolate and three candies. How long can Peter r - Statistical XY file
Year; money spent on advertising; profit (three values each row) 2008 2 12 2009 5 20 2010 7 25 2011 11 26 2012 15 40 1. draw a scatter diagram depicting the data. 2. calculate the Pearson's correlation coefficient. 3. determine the linear regression equat - Ascend vs. descent
Which function is growing? a) y = 2-x b) y = 20 c) y = (x + 2). (-5) d) y = x-2 - Electricity tariffs
To figure out the pricelists of energy companies is difficult for the ordinary person. One must be on guard e.g. when one moves and thus somewhere sharply reduces the consumption of electricity and somewhere else sharply raises the consumption of electric - General line equations In all examples, write the GENERAL EQUATION OF a line that is given in some way. A) the line is given parametrically: x = - 4 + 2p, y = 2 - 3p B) the slope form gives the line: y = 3x - 1 C) the line is given by two points: A [3; -3], B [-5; 2] D) the lin
- The tangent line
Find the tangent line of the ellipse 9x² + 16y² = 144 with slope k = -1. - Tangents to ellipse Find the magnitude of the angle at which the ellipse x² + 5 y² = 5 is visible from the point P[5, 1].
- Similarity of squares
There is a given square ABCD with a = 5.3 cm. If the similarity ratio k = 3 cm, determine the side size of a similar square. Then, calculate the area and perimeter of the magnified square. - Used cars
Peter plans to buy a used car: The first car was a Renault Espace 2.0 dCi 16 V Dynamique 2006, which cost 2000 euros. It is 14 years old and has a combined diesel consumption of 8 liters. / 100 km. Diesel costs 1.1 euros/liter. How much will the car cost - Line intersect segment
Decide whether the line p : x + 2 y - 7 = 0 intersects the line segment given by points A[1, 1] and B[5, 3] - Derivative problem
The sum of two numbers is 12. Find these numbers if: a) The sum of their third powers is minimal. b) The product of one with the cube of the other is maximal. c) Both are positive, and the product of one with the other power of the other is maximal. - Roots and coefficient
In the equation 2x² + bx-9 = 0 is one root x1 = -3/2. Determine the second root and the coefficient b. - Nou camp
Nou camp is the largest football stadium in Europe with a capacity of 99 354 places. It has built several dozen entrances. Half an hour before the start of the sold-out match there were already 30 906 fans in the stands. Through each of the 31 entrances, - Function 3
Function f(x)=a(x-r)(x-s) the graph of the function has an x-intercept at (-4, 0) and (2, 0) and passes through the point (-2,-8). Find constant a, r, s. - Rectangle area function
A rectangle with sides of lengths a, b (cm) has a circumference of 100 cm. The dependence of its area P (in cm2) on the number a can be expressed by the quadratic function P = sa + ta². Find the coefficients s, t. - Quadratic function graph The quadratic function has the formula y = x²-2x-3. Sketch a graph of this function. Find the intersections with the axes. Find the vertex coordinates.
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