B. Solve the problem below. Make use of your guide questions following the stepsin solving real-life problems involving quadratic equations and rational algebraicequations. Use the table format below.Bicycles are becoming a transport option under the new normal. Two bikersstarted at the same apartment, one going east, the other going north to go totheir workplace. One biker was traveling at 3 kph faster than the other. Afterone hour, the two bikers were 15 km apart. Find the rate of each.15 kmApartmentSteps in solving real-lifeproblemsGuide Questions/Solution1Read and understandthe problemDevise a Plan3 Carry out the plan4 Look back What I KnowLet us check if you have knowledge in solving word problems involving quadraticequations and rational algebraic equations. Try the activity below.Activity 1:Find those missing!A. Solve the following problems using the guided questions provided.1. Two numbers differ by 9. The sum of their squares is 653. What are thenumbers?a. What expressions represent the first number? How about the expressionsthat represent the second number?b. Formulate an equation to relate the two numbers. Explain how you arrivedat the mathematical sentence.c. Using the equation, how will you determine the first and second numbers?d. What is the first number? The second number?e. How can we sure that the two numbers are correct? Justify.2. Mang Simo is putting up a new rectangular lawn with an area of 100 m2. A 50-meter fence is used to enclose the lawn. What are the dimensions of the lawn?Area = 100 m2a. Draw a diagram to identify the missing dimensions.b. How will you represent the length and the width of the lawn, knowing thata 50-m fence is used to enclose the lawn?c. Formulate an equation relating the length and the width of the lawn.Explain how you arrived at the mathematical sentence.d. Using the equation, how will you find the length and width of the lawn?What are the dimensions of the lawn?e.

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Calculus: Early Transcendentals

8th Edition

ISBN:9781285741550

Author:James Stewart

Publisher:James Stewart

Chapter1: Functions And Models

Section: Chapter Questions

Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...

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Suppose x varies inversely as y and x = 16 and y = 5. Find the value of x when y = 20. 1 A 4 B 32 20 D 1
A car is initially located 40 km North of a truck. The car then begins to travel North at 20 km/h, while at the same time, the truck travels due West at 30 km/h. After travelling for 2 hours , the distance between the two vehicles is 11. A. decreasing at 26 km/h B. increasing at 26 km/h C. decreasing at 34 km/h D. increasing at 34 km/h
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Read the problem carefully then solve for what is asked. Show your solution on the space provided. One car leaves an intersection traveling north at 50 mph; another is drivingwest toward the intersection at 40 mph. At one point, the north-bound car is three-tenths of a mile north of the intersection and the west-bound car is four- tenths of a mile east of it. At this point, how fast is the distance between the cars changing?
Gas mileage actually varies slightly with the driving speed of a car (as well as with highway vs. city driving). Suppose your car averages 29 miles per gallon on the highway if your average speed is 48 miles per hour, and it averages 26 miles per gallon on the highway if your average speed is 65 miles per hour. Answer parts (a) and (b) below. a. What is the driving time for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the driving time at 65 miles per hour? The driving time at 48 miles per hour is hours. (Type an integer or decimal rounded to two decimal places as needed.) The driving time is at 65 miles per hour is (Round to two decimal places as needed.) b. Assume a gasoline price of $4.43 per gallon. What is the gasoline cost for a 2300-mile trip if you drive at an average speed of 48 miles per hour? What is the gasoline cost at 65 miles per hour? The gasoline cost at 48 miles per hour is $ (Round to two decimal places as needed.) hours. The…
Assume a varies directly as b². If b is doubled, how will it affect a. Explain your answer in detail and upload your solution. Upload Choose a File Question 7 The mass of the sun is approximately 2 x 1030 kilograms, and the mass of the Earth is approximately 6 x 1024 kilograms. How many more times greater is the mass of the sun than the mass of the Earth? Explain your answer in detail and upload your solution. Upload Choose a File Question 8 JAN 14 MacBook Air

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