Determining Solution Points In Exercises 7-14, determine whether each point lies on the graph of the equation.
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College Algebra
- Internet use An equation that models the number of users of the Internet is y = 11.786x2 – 142.214x + 493 million users where x is the number of years since 1990 (Source: CyberAtlas, 1999). If the pattern indicated by the model remains valid, when does this model predict there will be 812 million users?arrow_forwardA new Car worth $35,000 is depreciating in value by $7000 per year. The mathematical model, which describes the car’s value, y, in dollars, after x years, is y=—$7000x+35,000 The missing coordinate is (2,?) The y-intercept is____.arrow_forwardExercise #4: Consider the equation x-7 =-2 (a) Show that x=5 is not a solution to this equation. (b) Explain why this equation cannot have any solutions.arrow_forward
- Pediatric growth charts suggest a linear relationship between age (in years) and median height (in inches) for children between 2 and 12 years of age. Two year olds have a median height of 35 inches and 12 year olds have a median height of 60inches. Generate an equation to describe height as a of age. A) H(a)= -2.5a + 30 B) H(a)= 2.5a + 35 C) H(a)= 2.5a - 30 D) H(a)= .4a - 12 E) H(a)= 2.5a + 30arrow_forwardA car rental company charges a flat fee of $18.30 plus $0.15 per mile. Part 1 of 2 (a) Write an equation that expresses the cost y of renting a car if the car is driven for x mi. The equation is y = 0.15x + 18.30 Part: 1/2 Part 2 of 2 (b) Using the equation from part (a), find the cost of driving the rental car 50, 100, and 200 mi. The cost of driving 50 miles is S The cost of driving 100 miles is S The cost of driving 200 miles is $arrow_forwardCumplete) Given the graph of the quadratic equation of the form y = f(x) to the right, find the number of real number solutions of the related equation f(x) = 0. The equation has real number solution(s). (-8,8,2] by [-20,20,5] More Enter your answer in the answer box.arrow_forward
- Determine whether each point lies on the graph of the equation. y = |x − 1| + 2 (a) (2, 3) Yes, the point is on the graph. No, the point is not on the graph. (b) (−1, 0) Yes, the point is on the graph. No, the point is not on the graph.arrow_forwardCan someone help me ASAParrow_forwardThe arch support of a bridge is modeled by y = −0.0012x2 + 300, where x and y are measured in feet and the x-axis represents the ground. (a) Use a graphing utility to graph the equation. (b) Find one x-intercept of the graph. Explain how to use the intercept and the symmetry of the graph to find the width of the arch support.arrow_forward
- While on vacation your family decides to rent a canoe. The cost of the rental is a deposit of $10 plus $28 per day. 2. (a) What does each variable represent? X = y = (b) Write an equation to model the total cost of renting a canoe for any number of days. (c) Graph the equation. Label axes, scales (both x & y), and y-i сept. (d) Use the equation to find the cost of renting a canoe for 3 days. Indicate on your graph the same solution.arrow_forwardWrite an equation (a) in slope-intercept form and (b) in standard form for the line passing through (-3,6) and parallel to x+2y=7. a) The equation of the line in slope-intercept form is. (Type your answer in slope-intercept form. Use integers or fractions for any numbers in the equation.)arrow_forwardFootball player kicks a football held 50 cm above the ground. football reaches a max height of 30 m at a horizontal distance of 18 m from the player. Determine a quadratic equation that models the path of the football.arrow_forward
- Big Ideas Math A Bridge To Success Algebra 1: Stu...AlgebraISBN:9781680331141Author:HOUGHTON MIFFLIN HARCOURTPublisher:Houghton Mifflin Harcourt