Quadratic equations Questions and Answers

Question 9 of 46 Todd is attempting to predict how much money his furniture company will make based on the amount raw materials the company currently has at its disposal The average profit from the sale of 1 piece of furniture can be expressed as x 4 and the average number of pieces of furniture that can be made using the current supply of raw materials can be expressed as x 4 What polynomial function can Todd use to calculate the average profit F x x 8x 16 A B F x 4 C F x x 16 OD F x 16x 16

Which of the following statements is true for the quadratic equation x2 16x 64 0 The equation has no solutions The equation has two solutions It s impossible to determine how many solutions the equation has The equation has one solution

A toy manufacturer needs a piece of plastic in the shape of a right triangle with the longer leg 3 cm more than the shorter leg and the hypotenuse 6 cm more than the shorter leg How long should the sides of the triangle be The sides are Use a comma to separate answers as needed

A tennis player hits the ball with an initial speed of 62 feet per second at an angle of 15 from a height of 2 2 feet How far away does the ball land in feet 47 293 feet 56 372 feet

The cost for ground shipping with FedEx and UPS varies UPS charges 8 25 initially anc then 0 20 per pound FedEx initially charges 9 50 and then 0 16 per pound Write the equation to find the number of pounds when the costs of shipping with UPS and FedEx a the same Let the number of additional pounds x

Neftali Moreno Miranda Solve by Trinomial Factor a 1 Nov 16 5 09 12 PM Watch help video Solve the quadratic by factoring 2x 9x13 8

The table below gives the retail sale of electricity in billions of kilowatt hours for the residential and commercial sectors of the United States Year 2000 2003 2006 2009 2012 2015 Residential billions of kilowatt hours 1 192 1 276 1 400 1 420 1 402 1 390 Let a represent time in years with 0 corresponding to 2000 and let y represent the corresponding residential sales Find the quadratic regression equation for the data y R x ax bx c with a rounded to the nearest hundredth 2 decimal places b rounded to the nearest tenth 1 decimal place and c rounded to the nearest integer Use this quadratic model above to answer this question Predict the residential retail sale of electricity in 2022 Round to the nearest billion of kilowa hours NOTE You may get the wrong answer if you do not use the quadratic model with coefficients rounded as described above billion of kilowatt hours

3 pts The solution of the quadratic equation 3x 2 4x is written by a student as the following According to you is this students solution correct or not Explain your answer with reasons Solution Step 1 3x 4x Step 2 3xx 4x Step 3 3x 4 Step 4 x

Select the correct answer from each drop down menu An executive at a software company is using the function g to compare the revenue in thousands of dollars generated by downloads of two products on day x of the business year Function g is a quadratic function equal to the difference when the revenue from downloads of an antivirus program is subtracted from the revenue from downloads of photo editing program The table shows the value of function g for different values of x X g x 0 1 5 14 0 28 0 5 42 0 Complete the statements Interpreting the table 56 1 5 70 4 5 The revenue from downloads of the antivirus program was greater than the revenue from the photo editing program The revenue from downloads of the photo editing program was greater than the revenue from the antivirus program

You throw a baseball upward with an initial velocity of 56 feet per second. The height h (in feet) of the baseball relative to your glove is modeled by the position function h(t)= -16t2+56t where t is the time in seconds. How long does it take for the ball to reach your glove? (Round your answer to one decimal place.)

You are working with the following quadratic function: y = x² - 2x - 8 a) Write the quadratic in factored form: y= b) Complete the square to write the quadratic in vertex form: y = Identify the vertex of the parabola: Remember that the vertex is a point! Identify the y-intercept of the parabola: Remember that the y-intercept is a point! Identify the x-intercepts: and Remember that the x-intercepts represent points on the graph!

This question is not about solving the stated problem, but about understanding it. A rocket is launched, and its height above sea level t seconds after launch is given by the equation h(t) = 4.9t² + 1300t + 170. a) From what height was the rocket launched? b) What is the maximum height the rocket reaches? c) If the rocket will splash down in the ocean, when will it splash down?

Use the discriminant to determine whether the quadratic equation has zero, one, or two distinct real solutions. x² + 6x + 1 = 0 The quadratic equation has choose one real solution(s).

Is it more convenient to complete the square for x^2 + bx when bis odd or when b is even? Explain.

Solve the following quadratic expressions by factoring. First write the expressions in completely factored form. Then write the real number solutions. [Hint: Remember to use proper notation when writing the real number solutions. For example: if the solutions are a = 1 and x = 4, write x 1,4

A jazz group on tour has been drawing average crowds of 1000 people. It is projected that for every $1 increase in the $17 ticket price, the average attendance will decrease by 60. What equation could be used to solve this problem and at what ticket price will nightly receipts be $16,400? A) (17+x)(1000-60x)=16400; $20 B) (17x)(1000x-60)=16400; $20 C) (17+x)(1000-60x)=16400; $19 D) (17-x)(1000+60x)=16400;