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Johns Hopkins University

University of Washington

University of Michigan - Ann Arbor

07:20

Alix S.

Using Models Use the model given to answer the questions about the object or process being modeled. The gas mileage $M($ in milgal) of a car is modeled by $M=N / G,$ where $N$ is the number of miles driven and $G$ is the number of gallons of gas used. (a) Find the gas mileage $M$ for a car that drove 240 mi on 8 gal of gas. (b) $A$ car with a gas mileage $M=25$ mi/gal is driven 175 mi. How many gallons of gas are used?

00:50

Taylor S.

Making Models : Write an algebraic formula that models the given quantity. 14. The average $A$ of two numbers $a$ and $b$

03:34

Kyle I.

Using Models Use the model given to answer the questions about the object or process being modeled. The distance $d$ (in mi) driven by a car traveling at a speed of $v$ miles per hour for $t$ hours is given by $$d=v t$$ If the car is driven at 70 milh for 3.5 $\mathrm{h}$ , how far has it traveled?

0:00

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negative, too. Tom's Tu minus two X minus four Tom's X Plus five is less than or equal to negative 24. Just like it was an equation. Before we can begin solving, we need to go ahead and simplify. I've got some parentheses, so let's get rid of our parentheses by doing distributive property. So negative two times two is negative. Four Negative two times negative. Two x is positive for X negative. Four times X is negative. Four x and negative. Four times five is negative. 20 at all of that is still less than or equal to negative 24. Now we can go ahead and combine like terms. Well, I have a negative four and a negative 20 and those combined will give me a negative 24 Also have a four X and a negative for X. Well, if I combine those, I get a zero X. Well, another way of writing zero X is actually just to cancel it out. I don't need to write zero X. So what I have is negative. 24 is less than or equal to negative 24. At this point. In order to get my answer, I need to look and see if if my statement is true or false, because at this point, I know that I'm either gonna have and all riel numbers. Answer, or I'm going to have a no solution. Answer. Now, in all real numbers, answer means that I have a true statement. No solution means I have a false statement. Well, negative 24 is less than or equal to negative 24. This is actually true because they are equal to each other. So that means that my solution to this inequality is all riel numbers.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

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