The equation y = x2 -12x + 45 models the number of books y sold in a bookstore x days after an award-winning author appeared at an autograph signing reception. What was the first day that at least 100 copies of the book were sold?

Q: A carpenter had two pieces of lumber that totaled 55 feet in length. The shorter piece was 12 feet…

A: Given :  length of longer piece = x short piece is 12 feet shorter Therefore, length of shorter…

Q: A baker uses the equation y=3.5x to find the number of cup,y, of milk he needs  to make a number,x,…

A: The objective is to find the constant of proportionality between y and x.

Q: Donna receives a $100 gift card to MovieStop. Her Blu-ray player is able to play both Blu-rays and…

A: Value of gift card received by Donna = 100 $Cost of one Blue-Ray = 25.99 $Cost of one DVD = 15.99…

Q: Sarah has an average of 94 on her 5 science quizzes. If her teacher drops her lowest grade of 81,…

A: It is given that ; The average marks of Sarah on 5 sciences quizzes  = 94 And if  teacher drops her…

Q: Complete the table based on the equation. y = -a + 5 -4 -2 4 18. 1.

A: See attached file for a step by step explanation.

Q: Teresa had some Girl Scout Cookies; she gave 2 of them to her best friend, and now she only has 4…

A:

Q: Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by…

A: Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be model by…

Q: A large hardware store's monthly profit from the sale of PVC pipe can be described by the equation…

A:

Q: Jadauses the equation y=200+10m,where represents the number of months and represents the total…

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Q: Carter was given a box of assorted chocolates for his birthday. Each night, Carter treated himself…

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Q: SAC estimated that the profit generated from the carnival could be modelled by the equation P = -5x²…

A:

Q: The cost of the 30 ticket was double the cost of the regular admission, d-2r. The family purchased…

A: Let the cost of regular admission is x so, the cost 3D ticket will be 2x. it is given family spend…

Q: A large hardware store's monthly profit from the sale of PVC pipe can be described by the equation…

A:

Q: Which ordered pair is a solution of the equation 5 x + y = –23?

A: The equation is

Q: Nicci's sister is 7 year less than twice nicci's age, a. The same of nicci's age and her sister's…

A: Given: Nicci's sister is 7 years less than twice Nicci's age The age of Nicci's is a. The sum of…

Q: One gram of protein contains 4 Calories, one gram of fat contains 9 Calories, and one gram of sugar…

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Q: The weight of a goat increased by 12 pounds is 38 pounds. Write an ADDITION equation to represent…

A:

Q: Jaden wants to purchase four notebooks and a calculator. If the calculator cost $85, which equation…

A:

Q: Mr. Green sold 50 candy bars in a week when he priced each at $2. From his experience, he knows that…

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Q: Solve the equation  x2+4x-5=0 using graph. Then verify the result.

A: Given equation: x2+4x-5=y Concept: Write the quadratic equation with. on one side. Determine…

Q: Two friends, Lincoln and Peyton, took summer jobs. The equation y = 26.6x represents Peyton's…

A: Here peyton' earnings y = 26.6x where x= hour so from that we can say that it's avg 26.6. but we…

Q: A prom ticket at Smith High School is $120. Tom is going to save money for the ticket by walking his…

A: Find the equation for minimum number of weeks.

Q: Given the equation y = -6 + 4x, find the value of x if y = 14 Show Your Work

A: Given equation is y = -6+4x we need value of x when y =14  So put y = 14 in above equation.

Q: Isabelle earns $200 a week at a bookstore plus $2 for every magazine she sells. She uses the…

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Q: Panchitos Gym charges a one time registration fee of $40 and $20 each month. The total fee after x…

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Q: Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by…

A:

Q: The number of Internet paid search ads is increasing as advertisers move away from traditional…

A:

Q: The pathway of Sam's dive into the swimming pool can be represented by the equation h = -162 + 15t +…

A: height is represented byh=-16t2+15t+12substitute t=1

Q: Hattie accepted a job as a makeup artist after being offered a $550 signing bonus. If she makes $32…

A: If x pay per hour, then y hours pay = x.y

Q: The number of miles Enzo walks is represented by the equation y=6x, where x is the number of hours…

A: As per our guidelines we are suppose to solve only first question. Kindly repost the other question…

Q: For the equation, complete the solution. y = -9x - 4 (x, v) = (-4, [

A: The equation is given by y =-9x-4                           ..........(1) To evaluate: The value of…

Q: On Friday, Jessica babysat for 3 hours and earned $27. On Saturday, Jessica babysat for 6 hours and…

A: The statements involving algebraic operations and expression namely addition, subtraction ,…

Q: Melinda takes out a loan to purchase a car. The balance on her loan after x months is represented by…

A: In this question, it is given that the balance of Melinda's loan is y=10,000-250x The value of car…

Q: The sum of two consecutive integers is -51. Find the integers

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Q: One gram of protein contains 4 calories and one gram of fat contains 10 calories. If one servir of…

A:

Q: Jill has a weekend job at Electro-City selling tablet computers. She earns $10 per hour plus a $25…

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Q: On Friday, Jessica babysat for 3 hours and earned $27. On Saturday, Jessica babysat for 6 hours and…

A:

Q: (b) In the equation - x - 6 = 0, a = 1 b = |-2 , and c = |-12

A:

Q: When Raoul runs on the treadmill at the gym, the number of calories, c, he burns varies directly…

A: Given:-Calories, c varies directly with the number of minuteC ∝ tC = kt — (1)Where k is…

Q: The cost of renting a car is $35/wk plus $0.25/mi traveled during that week. An equation to…

A:

Q: Juno has two​ part-time jobs. Her job in a diner pays ​$6.03 per hour and her work in a craft store…

A: Linear equation

Q: Jake buys 2 video games that each cost the same amount, g, and a controller that costs $30. The…

A: Here g be the cost for one video game , jake purchased total 2 video game. Cost for controller is…

Q: A train ride is $2.85 per ride. A commuter can purchase an unlimited-ride card for $45 per month.…

A: Given: The cost of one ride is $2.85, The cost of the card for the unlimited ride is $45. It is…

Q: John owns a hot dog stand he has found that his profit is represented by the equation P equals…

A: given equation is p(x) = x2 + 76x + 80  but there must be a correction in this equation is to find…

Q: Morgan's Mediterranean Restaurant has found that the number of falafel plates sold can be modeled by…

A:

Q: Kim is saving money to buy a bike. She currently has $50 and will save $12 each week. Equation y=

A: Given that

Q: The equation y = 6.758x + 50 represents the relationship between the weight of the sharks and the…

A: From the provided information, y = 6.758x + 50 Here y is the weight of shark and x is the length.

Q: Silas took 17 bags of glass to the recycling center. He still has 8 bags of plastic to take to the…

A: Silas took 17 bags of glass to the recycling center. He still has 8 bags of plastic to take to the…

Q: large hardware store 's monthly profit from the sale of PVC pipe can be described by the equation…

A:

Q: The cost of renting a car is $35/wk plus $0.25/mi traveled during that week. An equation to…

A: To find: The distance travelled in miles. Given information: The equation to represent the cost…

Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.