Trevor and Isaiah are running in the park on the same day. The rate at which Trevor runs is modeled by the equation y = x2 - 7x - 1. The rate at which Isaiah runs is modeled by the equation y = x - 1. In the equations, y represents the distance traveled in feet and x represents the time that has passed in seconds. The boys beginning running at time equals zero (x = 0). After how many seconds will the distance the boys run be the same? %3D %3D

Q: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute.

A: Initial amount of water in the tank=450-gallon Amount of water draining per minute=20-gallons 1)…

Q: Find an equation parallel to x =0 and passing through (1,- 7).

A:

Q: Austin believes that his score on an upcoming test can be modeled by the equation y=7.2x+53 where x…

A:

Q: A food truck vendor averages 150 tacos sold when the price per taco is $4.A study shows that the…

A: Given that, the food truck's average sales in dollar is s and and price per taco is x.  Let us…

Q: At the basketball game, the Tigers scored twice as many points as the Sharks. Which equation best…

A: To determine the equation that best describe the relation between x and y.

Q: The owner of an apartment building can rent all 50 apartments if she charges $600 per month, but she…

A: Solution ) the equation of revenue R(x) = (50 - x ) ( 600 + 30x) [ 50 - x = fewer apartment (600 +…

Q: Chelsea believes that her score on an upcoming test can be modeled by the equation y=5.6x+53 where…

A: Solution: Let x represents the number of hours spent studying and y be the Chelsea’s test score.…

Q: One day, Jada takes home $90.45 after working h hours and after paying the bus fare. Write an…

A:

Q: If an object is propelled upward from a height of 48 feet at an initial velocity of 96 feet per…

A: given that.

Q: A car travel at 15 mph and a truck travel at 32 mph. The car needs two and a half hours more than…

A: Given: Speed of a car is 15 mph and speed of a truck is 32 mph. The car takes two and half hours…

Q: Carlos' grandmother will give him $20 plus $5 for every hour that he completes yard work. This…

A: Given Total fixed amount given by his grandmother                                     = $20 amount…

Q: For the linear equation Y = 2X + 5, if X increases by 1 point, how much will Y increase

A: Solution

Q: A movie theater charges 8.75 for entrance and boxes of candy are $4 each. Write a linear equation to…

A: From the given information, it is observed that the theater charges 8.75 for entrance and boxes of…

Q: Eliminate the arbitrary constant of the equation: y2(a-x)=x3

A:

Q: A human slingshot was used to launch a stunt  man into the air across two football fields where he…

A:

Q: 3. Find the instantaneous velocity of a rocket that hits the ground whose position can be modeled…

A:

Q: The number x of printer cartridges that a store will sell per week and their price p (in dollars)…

A:

Q: The quantity demanded each month of the Walter Serkin recording of Beethoven's Moonlight Sonata,…

A: Since you have asked a question with multiple question in a single request, we would be answering…

Q: y = x - 3 x- y = 8

A: We Use the basic definition of plot a graph of lines. y= x-3------(1) x-y=8------(2) (1) can be…

Q: When Makayla moved into a new house, she planted two trees in her backyard. At the time of planting,…

A: At time of planting, t= 0. Height of tree A = 19 in Height of tree B = 35 in

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: Currently, an artist can sell 270 paintings every year at the price of $140.00 per painting. Each…

A: Given:   Income  = 270 - 5x    Price = 140 + 10x

Q: Find the general solution of the equation x*y" + 2.x°y'+ y = 0.

A:

Q: A 450-gallon tank full of water is draining at a rate of 20 gallons per minute. (Write an equation…

A:

Q: The relationship between the number of pencil sharpeners x a company can sell each week and the…

A:

Q: In the linear equation Y = 3X + 2, when X increases by 4 points, Y will increase by __________.

A: In multiple linear regression, there will be more than one independent variable. In simple linear…

Q: A plumber charges $50 to come to your house and $30 for every hour of labor.   How much will it cost…

A:

Q: Gertrude accepted a job as a fashion model after being offered a $375 signing bonus. If she makes…

A: This question can be solved using the concept of linear equation in two variables.

Q: Brend had 3 Math assignments (which took the same amount of time to complete) and 1 English…

A: Given- Brend had 3 Math assignments (which took the same amount of time to complete) and 1 English…

Q: Write an equation for a line perpendicular to 2y−4x=−2 and passing through the point (-6,0). Solve…

A:

Q: In a equation of Y= b0 + b1X, and b is negative then, As Y increases X decreases As X decreases Y…

A:

Q: The equation x 2= 2 x has three solutions: x = 2, x = 4, and one other. Estimate the third solution…

A: Given:

Q: in a health club, a person must pay a $75 one-time fee plus a charge of $30 per month. This…

A: The given equation represents a straight line.

Q: The cost equation for a company to install install X square feet of brick pathway is C=209+14x, and…

A:

Q: Jan has 200 acres of farm land that she wants to plant with either corn or soybeans. If 300 bushels…

A: Let us assume that x acres of corn and y acres of soybeans.  So total farmland: x+y=200 Number of…

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: A hairdresser is deciding where to open her own studio. If she chose location A, she will pay $1200…

A: So it's a making equation from given statement problem, so I'm providing hand written solution.

Q: The cost to rent a paddleboat at Central Park includes an initial fee of $7 plus $3.50 per hour.…

A: Given  the initial fee of renting paddleboat =$7 rate per hour=$3.5

Q: Amazon offers a Prime Memebership for $79 per year , which qualifies a buyer for a reduced shipping…

A:

Q: Jackson and Ginger are both learning to ride a bike. Jackson can travel y= 4x miles, and Ginger…

A:

Q: 2. у' %3D х3 — 2ху when x = 1 & y = 2

A: This is a problem of differential equation.  Here we will substitute the some of variable and then…

Q: Two satellites are orbiting Earth. The path of one satellite has the equation x2 + y2 = 56 250 000.…

A: We can solve this problem using concept of circle.

Q: If x servings of Designer Whey (supplying 2 grams of carbohydrates per serving) and y servings of…

A:

Q: The number of hours it takes for ice to melt varies inversely with the air temperature. Suppose a…

A: Given,           The number of hours it takes for ice to melt varies inversely with the air…

Q: solve equation y''' - ( y'' / x ) = 0

A:

Q: The number of calories, c, burned varies directly with the amount of time, t, spent exercising.…

A:

Q: By 8:05 am, there were 20 people in Me.Arbizus math class. Write an equation for this scenario where…

A:

Q: The population of spring city was 15,000 in 1990 and 7,250 in 2000. Write a linear equation to…

A: Given The population of spring city was 15000 in 1990 and7,250 in 2000

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.