Solve the equation using the quadratic formula. 10x²= 2x+3

A carpenter is creating two new templates for his designs One template will be in the shape of a right triangle where the longer leg is three inches more than three times the shorter leg The second template will be in the shape of a rectangle where one side length is one inch less than three times the length of the triangle s shorter leg and the other side length is one inch more than twice the width The carpenter needs the lengths of both diagonals to be the same Write a system of equations to represent this situation where yis the length of the diagonals and x is the shorter leg of the triangle Which statement describes the number and viability of the system s solutions O A OB The system has only one solution and it is viable because it results in a figure with only positive side lengths The system has only one solution but it is not viable because it it results in a figure with a negative side length OC The system has two solutions and both are viable because they result in figures with only positive side lengths OD The system has two solutions but only one is viable because the other results in a figure with negative side lengths

The value of a particular rookie baseball card was 2 00 when it was first printed Five years later when the player was at his peak the card wa valued at 25 00 Ten years after printing the card was valued at 8 00 Model the above scenario showing the value of the card y with respect to years since it was printed x Write the equation in standard form y ax bx c where a b and care real numbers rounded to the nearest tenth o 0 10 y Vo d X S 2 X 0 x 0 T a A B E 9 P P sin cos tan sin cos csc sec cot log log In tan 1 LANE U O

03 04 One factor of the function f x x 8x 17x 10 is x 5 Describe how to find the x intercepts and the y intercept of the graph of f x without using technology Show your work and include all intercepts in your answer

Mr Waller owns a company that manufactures decorative statues The revenue earned in thousands of dollars by the company each year over an eight year period is modeled by this quadratic function 3 22t2 40 63 11 17

Try It Abigail has 30 00 to buy groceries She needs to buy some apples some bananas and 3 pounds of potatoes Fuji apples are 1 79 a pound bananas are 0 36 each and potatoes are 2 99 for a 3 lb bag If a represents the number of pounds of apples Abigail buys and b represents the number of bananas she buys which expression represents the amount of change she receives after her purchases 30 00 a b O 1 79a 0 36b 2 99 30 00 1 79a 0 36b 2 99 30 00 1 79a 0 36b 2 99

Select the correct answer from each drop down menu Determine the number and type of solutions for the following quadratic equations using the discriminant x2 Equation 6x 5 11 x2 241 50 L 4x 8x 10 0 15x2 2 7x 8x Number and Type of Solutions

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

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