The equation used to predict how long it will take to receive a package through the mail is ŷ=0.5 + 0.02x1 + 0.85x2days, where x1 is the distance to travel and x2 is the weight of the package. Use this equation to predict the how long it will take to receive a package that is 85 miles away and weighs 6.7 pounds.

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)…

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A:

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A:

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Q: solve for linear equation y' = x - y

A: To solve linear differential equation.

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

Q: If 6x + y = 5 is a true equation, what would be the value of -9+ 6x + y?

A:

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Q: The phone company Blurizon has a monthly cellular plan where a customer pays a flat fee for…

A: Given: for 8GB use the monthly cost is $62for 20GB use the monthly cost is $116

Q: Write the equation of all points that are 10 units away from the point (5, -2)

A:

Q: Write the equation in slope intercept form for both of them

A: 1.  for the first graph, equation of line passes through points 2,1, 0,-3 Using slope intercept…

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Q: Write an equation that describes all points that are 5 units away from (0, 7)

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Q: Holly believes that her score on an upcoming test can be modeled by the equation y = 4.9 x + 55…

A: Given Regression equation is y = 4.9 x + 55

Q: Please Write the general Equation with steps to find y in terms of x and r variables

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Q: The difference equation given by A(yt - Yt-1) can be written as

A: Given

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Q: The equation y=18,000(0.64)^x represents the value of a car after x years based on this equation…

A: Given value of car y= 18000*(0.64)x  x=no of years  The value of car after 6 months means x= 1/2…

Q: Write an equation for the quadratic graph with the x intercepts (-2,0),(1,0) and y intercept (0,-1).…

A:

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A: We have given that the number of a certain type of bacteria present in a culture is determined by…

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Q: is y=5 a linear equation? Explain.

A: A linear equation is given by: y = mx + C where  m is the slope  and C is the y-intercept

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Q: Write an equation for the line perpendicular to 2y-4x=-2 and that passes through the point (-6,0).

A: Solution of given question is written in below steps.

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A: In any equation, we want the variable to get on one side

Q: When looking at a multi-step equation, how do you know WHEN you should Move Variables?

A: When variable on both side of equation then we move variables accordingly.

Q: The length of one side of a shoebox is 8 centimeters more than twice the width. The base of the…

A: Let, length=l Beadth=b width=w The length of one side of a shoebox is 8 centimeters more than twice…

Q: Write the equation that is parallel to the line = 2x + 5 and passes through the point (3.1)

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A: By distance time formula: Speed=distancetime Substitute Speed=50 miles/day, distance=m and time=d in…

Q: long will it take the pipe to fill the pool if the drain is left open?

A:

Q: Every year, a video game console that cost $2500 loses around 10% of its value. a) Create an…

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Q: The path of water from a hose on a fire tugboat can be approximated by the equation y = −0.006x2 +…

A: Known fact: The solution of quadratic equation ax2+bx+c=0 is given by x=-b±b2-4ac2a.   The height of…

Q: The path of water from a hose on a fire tugboat can be approximated by the equation  y = −0.004x2 +…

A: Given data:   The expression for the height of the water above the ocean is y=-0.004x2+1.15x+10. The…

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: Write an equation that models this situation with t being the number of years since 2009.   If…

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Q: Write an equation that describes all points that are 8 units away from the point (2, -5)

A:

Q: The relationship between the number of grams of carbohydrates in a loaf of bread and the number of…

A: the option B and option D are correct. Please find the detailed solution in below images

Q: John is buying a car for $8000. The value of the car will decrease by 5% each year. Which equation…

A:

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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.