48. The sum and the product of the roots of the quadratic equation 6x? &_ respectively. В. - 4x – 12 = 0 are С. 2, - 2 D. - 2 , А. - 2
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A: To determine the next equation and to verify the result.999,999×2=1,999,998 999,999×3=2,999,997
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- The life expectancy for females born during 1980-1985 was approximately 80.6 years. This grew to 81 years between 1985-1990 and to 81.6 years between 1990-1995. I have to find a model for this data by finding a quadratic equation whose graph passes through the points (0,80.6) (5,81) and (10,81.6). Based on that, estimate the life expectancy for females born between 1995 and 2000 and those born between 2000 and 2005.create 3 equations of the form ax + by + cz = d where a, b, c, and d are constants (integers between -5 and 5). create 3 equations of the form ax + by + cz = d where a, b, c, and d are constants (integers between -5 and 5).Find numbers a and b such that ax + by =(9, -1, 10), where x =(3, -1, 0) and y =(0, 1, 5). Is there more than one solution?
- You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Based on this information, answer the following questions. 1. determine if it exists, the safe distance between the two hearing zones of the guards for you to pass through undetected? (Hint: use Pythagorean Theorem or distance formula) Distance between two red dots is:________________ . (5 pts) We know that the radius of the hearing zones are:…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…You wish to cross the 11 m x 10 m courtyard without being detected by the two guards and escape through a door located on the western wall. Guard 1 is located in a tower at the northeast corner of the yard and Guard 2 is located in the yard, in the southwest corner, as shown in the figure below. Guard 1 can hear you if anything more than 1/36 of the footstep sound energy reaches them; similarly Guard 2 can hear you if anything more than 1/16 of the footstep sound energy reaches them (Guard 1 can hear more due to his elevated height in the tower). Assume for now that both guards are fixed at these locations and cannot move unless they detect you. Now assume that Guard 2 is on patrol. He walks a straight patrol route up and down along the dotted line always remaining 3 m from the western wall. Determine the new maximum safe distance between the two hearing zones of the guards for you to pass undetected? (Hint: use Pythagorean Theorem or distance formula) Where is the Guard 2 located for…
- Suppose there are two cities, Chandlertowne and Gilbertville. Combined, the two cities have a population of 5,000. Chandlertowne is three times larger than Gilbertville. A) Write two equations that, together, model the situation. Beside the equations, clearly indentify what each variable means? B) Solve the sysyem of equations, and describe what the solution means within the context of this problem? write your answer in a complete sentance with units.Lorene plans to make several open-topped boxes in which to carry plants. She makes the boxes from rectangular sheets of cardboard from which she cuts out 9-in squares from each corner. The length of the original piece of cardboard is 18 in more than the width. If the volume of the box is 1035 in, determine the dimensions of the original piece of cardboard.On a hot Saturday, Ananya and her 4 friends decide to go to their local pool. Burning up from the heat, they all immediately jump into the pool and start swimming around. The pool is a square with dimensions 6 feet by 6 feet. Prove that at any point while these 5 friends are swimming in the pool, there is some pair of friends that is of distance at most 3√2 feet away from each other.
- The sum of one positive number and the square of another equals to 21. Choose the numbers so that their product is as large as possible. Enter the exact value of the product of the two numbers. The maximal value of the product is:3. Two brothers decide to invest in a vacant lot which cost $51 000. The first brother contributes $1000 more than one-quarter of what the second brother contributes. How much does each brother contribute?a. B1 = 11000, B2 = 40000b. B1 = 40000, B2 = 11000c. B1 = 12500, B2 = 38500d. B1 = 50000, B2 = 10000e. B1 = 1000, B2 = 50000 4. Solve for x and y: 4x + 9y = 72, 6x + 15y = 90a. x = 45, y = -12b. x = -45, y = 12c. x = 45, y = 12d. x = -45, y = -12e. x = -45, y = -15Suppose your car averages 38 miles per gallon on the highway if your average speed is 55 miles per hour, and it averages 32 miles per gallon on the highway if your average speed is 70 miles per hour. What is the driving time for a 2000-mile trip if you drive at an average speed of 55 miles per hour? What is the driving time at 70 miles per hour? Assume a gasoline price of $2.55 per gallon. What is the gasoline cost for a 2000-mile trip if you drive at an average speed of 55 miles per hour? What is the gasoline cost at 70 miles per hour?