#### Тема: Teams should present all relevant math applications that came into play in the process of solving the problem.

Learn how to model and solve math word problems. Ideal for students in grades 1 to 6.

x^2-4 axis of symmetry: x = 0 ; directrix: y =-4.25; focus: ( 0,-3.75) vertex=( 0, -4) is minimum 1/14(24-x)x (1/14)(24-x)(x) = 12/7x-1/14x^2 = -1/14x^2+12/7x axis of symmetry: x = 12 ; directrix: y = 13.78571; focus: ( 12, 6.785714) vertex=( 12, 10.28571) is maximum

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L=1.5√400 L=1.5(20) L=30 mph For a just plug the radius into the equation for R and solve. You can just type it right into a calculator and that equals L the speed limit. 40=1.5√R divide 1.5 on both sides to get R by itself, then 40/1.5=// 26.66667=√R 26.66667^2=√R^2 You have to square both sides to get R alone, Squaring gets rid of the square root! 711.11=R So the radius needs to be 711 feet just divide 40 by 1.5, square the R and 26.66667 and that gives you your radius

Problem 1: The demand for a certain product is given by p = 29 - 0.01x, where x is the number of units sold per month and p is the price, in dollars, at which each item is sold. The monthly revenue is given by R = xp. What number of items sold produces a monthly revenue of \$20,925? 20925 = x(29 - 0.01x) 0.01x^2 - 29x + 20925 = 0 x = 1,350 x = 1,550 Problem 2: A model rocket is launched upward with an initial velocity of 260 feet per second. The height, in feet, of the rocket t seconds after the launch is given by h = -16t2 + 260t. How many seconds after the launch will the rocket be 350 feet above the ground? 18.8 seconds (rounded to the nearest tenth of a second)