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00:52

Amy J.

The model $L=4 S$ gives the total number of legs that $S$ sheep have. Using this model, we find that 12 sheep have $L=$ __________ legs.

02:33

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. The power $P$ measured in horsepower (hp) needed to drive a certain ship at a speed of $s$ knots is modeled by $$P=0.06 s^{3}$$ (a) Find the power needed to drive the ship at 12 knots. (b) At what speed will a 7.5 -hp engine drive the ship?

02:07

Suppose gas costs $\$ 3.50$ a gallon. We make a model for the cost $C$ of buying $x$ gallons of gas by writing the formula $C=$ _________.

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?

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So in this section we're going to talk about multiplying rational numbers. So the biggest thing is just knowing what the sign of your answer should be. So there's two key rules here when two numbers have the same sign. So unlike addition, subtraction you have to think about should I add a ship's tracked when you're multiplying? Your answer. You're still just gonna still multiply. We just again have to be concerned about the sign of our answer. So when you multiply, two numbers have the same sign. Whether they're both positive or both negative, the sign of your answer will be positive, so same sign is going toe leap to a positive answer. But when you multiply two numbers that have different signs than your answer is going to be a negative value. And again doesn't matter if the number is bigger or smaller. If you have two numbers that have the same sign or two numbers, they have different signs. I should probably put the word science in here, so only add that so different signs and those of your two general rules. Other than that you do your normal multiplication. So how you multiply doesn't change you just have to pay attention to the science for your answers. So let's just do a couple of examples here. So here are some examples. Let's scroll down a little bit. Sorry, curse. I got away from me there. Let's get back up here. There we go. All right, So number one, let's say we had negative three times five. So all you have to dio is first multiply three times five, which is going to be 15. And because both signs air different, you have one negative one positive. Your answer would be negative. So negative three times five is 15. Now, let's say number two. We had three times five. So again you just multiply three times five, which is 15. And because they have the same sign the rope Positive. Your answer is also positive. Um, let's say we had three times negative five again. Three times five is 15, but because they're different signs, your answer will be negative. So know this. We don't have any discussion about whether the three is bigger. The fives bigger and last example. Let's say we had negative three times negative five. So again we multiply three times five which is 15. And because both values are negative, our answer will be positive. So negative three times negative five is going to be positive. 15. So we'll talk about in the next couple examples leaving forward what happens when you multiply fractions when you multiply decimals. Um, and as you see in the examples following, we'll talk about those. But again, in terms of the sign, when both signs of the numbers of the same, your answer will be positive and when you have two numbers with different signs that will answer will be negative regardless of what type of number of this.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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