for the roots of each of the given equation below.4) + =231) x(x - 5) = 02 22) x2 - 2x- 24 = 03) 2x2 + 5x – 7 = 05) (3x – 5)(2x + 1) = 0Activity 2: Make Me an EquationUse a variable to represent an unknown quantity and then write an equation in a singlevariable based on the given information. Use x as the variable.1) The sum of two numbers is 14. If the product of these numbers is 48, what arethe numbers?2) The area of a rectangular garden is 56 m². If the length of this garden is onemeter longer than its width, what are the dimensions of the garden?3) Michael works twice as fast as Mario. If it takes 6 hours for the two boys to finishthe job, how long will it take for Michael to do the job alone?4) The area of a rectangular board is 6 square meters. If its length is one meterlonger than its width, how long is the cardboard?5) The product of two consecutive even numbers is 224, find the smaller number.Let's UnderstandThe concept of quadratic equations is illustrated in many real-life situations.blems that arise from these situations, such as those involving area, work, profitsmany more, can be solved hy anniuing tiAQJEIS

We are entitled to solve only one question at a time. As the question number is not mentioned so we…

Answered: S. Activity 2: Make Me an Equation Use…

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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A row of grassed seating at an amphitheater has been marked out to define 25 spaces of equal width that can be booked for an event, the row is 20m long. If s represents the width in metres of one space, express this as an algebraic equation, do not simplify your equation, use whole numbers in the equation. Observe algebraic conventions, do not include brackets or units in your equation: Use your algebraic equation to find the width of each space, s. Your answer should be a numerical value to 2 decimal places, give your answer in the same units used in the question, include units and no spaces in your answer: S=
3. A rancher needs to build a temporary holding pen out of 150 feet of fencing. For once side of the pen he will use an existing fence line, so his 150 feet only need to cover 3 sides of the rectangle. (see picture) Temporary Pen Existing fence a) Create an equation relating the width and length of the holding pen to his 150 feet of fencing. b) If the width of the holding pen (x) is 15 ft, what is the length? c) If the width of the holding pen (x) is 15 ft, what is the area?
Samila is sitting under her tarp at the ocean and decides to walk to the snack shack. She can walk 1.7 feet per second in the sand and 2.4 feet per second on the sidewalk. Her tarp is 25 feet away from the nearest point B along a straight boardwalk. The snack shack is 87 feet away from point B. (So the distance from B to C is 87 feet). Sidewalk Snack shack If she walks in the sand along a straight line to the sidewalk and then walks the rest of the way on the sidewalk, find an expression that gives the total time to reach the snack shack in terms of x, the distance from B to where she first reaches the sidewalk. T(x) = Find the minimum time it takes for Samila to reach the snack shack. (I'm looking for the TIME here.) DO NOT USE CALCULUS TO DO THIS. Minimum TIME required to get to snack shack = seconds. (Round to the nearst second)
I can't get these right
Your friend frequently uses Uber to get around town, and they are curious about the fees they are being charged. They know the cost depends on the distance of the trip. When they went on a 10 mile trip it cost $4.50, and when they went on a 15 mile trip it cost $5.50. a)write an equation to represent cost, c, after m miles. b) how much does Uber charge per mile? c) what does Uber cahrge just for getting in the car(if you don't go anywhere)?
6. Mrs. Pickering took her class out for a lap around the track during break. The track is 400 m long. Mr. Massie also took his class out for a lap but they wore roller skates and their speed was 5 m/second faster. Mr. Massie's class stopped to play hacky sack for 10 minutes. Mrs. Pickering's class completed their lap 6 minutes faster than Mr. Massie's class. Write an equation that could be used to determine the speed of Mrs. Pickering's class. DO NOT SOLVE
Kate need to pay someone to type her ooOK report. Shannon charges a ħal tee of $3 plus $3 for each additional page. Cory charges $5 per page. If she estimates having about 10 pages, who is the best deal? The refrigerator repair man charges $20 per hour plus a $30 service charge. If you only have $100 to spend, what is the most hours that the repair man can work on your refrigerator? Green Lawn service charges $15 service fee plus $30 per hour to maintain your lawn. If you believe to have about 6 hours work of work, how much should yoa expect to pay?
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Directions: Use a variable to represent, the unknown quantity then write an equation from the given information. Explain how you arrived at your answer. 1. The area of the concrete pathway is 350 m² and its perimeter pathwayis 90 m. What is the length of the pathway? 2. A rectangular lot has an area of 240 m². What is the width of the lot if it requires 64 m of fencing materials to enclose it? 3. The area of a garden is 160 m². Suppose the length of the garden is 3 m more than twice its width. What is the length of the garden? 4. The length of a tarpaulin is 3 ft. more than thrice its width and its area is 126ft.2. What is the length of the tarpaulin? 5. Mario and Kenneth work in a car wash station. The time that Mario takes in washing a car alone is 20 minutes less than the time that Kenneth takes in washing the same car. If both work together in washing the car, it will take them 90 minutes. How long will it take each of them to wash the car?
If 8 equal right triangles form a square, and the perimeter of the square is 32 inches, what is the perimeter of one right triangle?I ONLY NEED A DIAGRAM FOR THIS PROBLEM. NO NEED FOR SOLUTION
Match the words or phrases with their definitions. a. a formula for determining the roots of an equation of the form ax? + bx +c = 0, a + 0 1. root of an equation 2. quadratic equation b. a process for expressing y = ax" + bx +c in the form y = a(x-h)? + k - 3. completing the square C. an equation in the form ax + bx +c = 0, where a,b, and c are real numbers and a + 0 4. quadratic formula d. the value of the variable that makes an equation true Without graphing or using any algebraic methods, determine whether or not there is a solution to the following: 3x+ y = 2 бх — 2у 3D 3

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