Word problems, Quadratic Equations and Inequalities

Word Problem

Diagonal Brace: The width of a rectangular gate is 2 meters (m) larger than its height. The diagonal brace measures √6m. Find the width and height.

Maximum Height. If a soccer ball is kicked straight up from the ground with an initial velocity of 32 feet per second, then its height above the earth in feet is given by s(t) = -16t^2 + 32t. When t is time in seconds, graph this parabola for 0 ≤ t ≤ 2. What is the maximum height reached by the ball?

NOTE to OTAs: Please help me with the above. I am having a hard time with all of them and I just want to make sure I can understand what I am doing so I can do it on my own with all the rest. The more steps you can provide me with the better. Thank you so much for any help youcan give me.

Solution Summary

This solution shows how to graph the equations with all work and graphs formatted in an attached Word document.

... Write quadratic equations for which the following are solutions for x: a ... Questions 20 through 25 are word problems. ... that your equations fit the words before you ...

...Problems involving Solve for Real or Imaginary Roots, Word Problems (Sum of two numbers) , Lowest Terms, Inequalities and Quadratic Equations are solved ...

...Equations, Graphs, Rational Inequalities and Word Problems are investigated ... Graphs For 39-41 Solve each problem. ... Page 569/570 Quadratic and Rational Inequalities...

... one is in Word XP Format, while the other is in Adobe ... Solve the following problems. ... The quadratic function s(t) = -16t2 + 176t + 112 models the ball's height ...

... Please include: - A solution to the above problem, making sure to ... writing (Do not write definitions for the words; but integrate ... Use quadratic equation to solve ...

... Please see attachment for 33 problems). ... more than one equality, separate the inequalities by a comma or word. ... 26.Use the quadratic formula to solve the equation. ...

... is in the attached Word document ... Using the master theorem this problem falls under case 3 in ... Now, using quadratic formula we could find relatively low values of ...

... We will do the following problems: ... Click on the words LIMIT AND LOG in the upper right-hand ... EXAMPLE: To type [■(1&12@10&3)] Click on the word Brackets in the ...

... Solve 3x^2+19x-14=0 using the quadratic formula. ... solving a variety of type of equations, including fractions, graphing, quadratics, and word problems. ...

... This solution is 546 words with three references. ... dummies and e is the remaining white noise error term ... The quadratic term for FDI is included in order to allow ...