Please answer Part 1 and Part 2 (with solution and explanation)

Part 1 Tell whether each statement is always, sometimes or never true. [2 point each) 1. Quadratic equations have at most two solutions. 2 2 2 2. 2x + 5x 3x = 5x x isaquadratic equation. a. 2x2 10x 37 = 2xl13+xl isa quadratic equation. 4. x2-5x=0 and x-5= 0 have the same solution set. 1 . 5. = B is a uadratlc e uatlon. xz-Zx-l-l q q Part 2 Answer each item completely. (5 points each) For item 1 and 2 refer to the following information. In physics the distance 5 of any object thrown from a certain ho above the ground is given by _L 2 5 2a: +vut+hn where a is the acceleration due to gravity and on is the initial velocity. Some astronomer compares the effects of gravity on moving object on Earth and on the Moon. In their experiment, a ball is launched from an initial velocity \"u = 15.2 m/s from both Earth and the Moon. 1. Once the ball is launched, how long would it take for the ball to land back on Earth? Note that the acceleration due to gravity on Earth is -9.8m/ 32 . 2. Since the acceleration due to gravity on the moon is -1.6 ml 52 , how many seconds would it take for the ball to land bank on the surface of the moon? For item 3 to 5 refer to the following information: In economics the market is in equilibrium if the demand and supply are equal to each other. Given price p, the supply the product it is - awed The demand for the same product isz 600. 3. What is the equilibrium price of product x ? Show your solution. 4. If the demand is greater than the supply by 336, what is the new price of product X ? 5. If the supply is greater than the demand by 375, what is the new price of product X? For item 6 and 7 please refer to the following information: Maria makes a total monthly profit of loom-25x2 pesos for producing x number of hand woven basket in a month. 6. If Maria wants to yield a prot of 7, 500, how many baskets should she make? Use the quadratic formula to solve the problem. 7. Maria daughter intends to help out in weaving baskets so that; together they can reach a total prot of 10,000. How many baskets should they make to achieve this prot? Show your solution. For number 8 please refer to the following information. In research conducted by the International Journal of Gynecology and Obstetrics, it was found out that the fetal weight after the second trimester of pregnancy can be accurately estimated given the femur length. Suppose the f is the femur length in centimeter , the weight of a 15 week old baby or older is estimated to be 0. 042f2+0.32f-1.36 kilograms. a. How many centimeters is the femur of a 2.5 kilogram fetus? Use the quadratic formula to show your solution. For number 9 and 10 please refer to the following information: The distance ofany obiect thrown .'lD units above the ground with an initial velocity v() is given by %al:2 + v": + ho' where a is the acceleration due to gnvity. Recall that the acceleration due to gravity on Earth is -9.8 m/sz. 9. Suppose that you launched from a height of 58.8 rn with an initial velocityof 19.6 m/s. how long would it take the ball to reach the ground? 10. Suppose that you launch the ball from the ground, how long would it take to hit the ball? Show your solution