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01:13

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.

0:00

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?

Kelli P.

Making Models : Write an algebraic formula that models the given quantity. 15. The cost $C$ of purchasing $x$ gallons of gas at $\$ 3.50$ a gallon

06:25

Daniel P.

Using Models Use the model given to answer the questions about the object or process being modeled. The portion of a floating iceberg that is below the water sur- face is much larger than the portion above the surface. The total volume $V$ of an iceberg is modeled by $$V=9.5 S$$ where $S$ is the volume showing above the surface. (a) Find the total volume of an iceberg if the volume show- ing above the surface is 4 $\mathrm{km}^{3}$ . (b) Find the volume showing above the surface for an ice- berg with total volume 19 $\mathrm{km}^{3}$ .

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we're gonna look at the compound. Inequality 14 are plus 20 is less than 14 or plus 16 or eight minus 10 Are is greater than or equal to 15. Minus nine are. Remember, this is a or statement, not in an statement. We're gonna see what I'm saying. That in just a minute. So let's take our first inequality. We're gonna start off by subtracting 14 are on both sides. So what's gonna happen is it's gonna cancel out on the right. Leave me with zero R plus 20 is less than 16. Subtract 20. I have zero r is less than negative four. Divide by zero, which cannot be done. So our first one is undefined. Now, our second inequality. Just because now, in this case, just because one inequality is undefined does not mean both of them are so we And this is an or statement. So we need to go ahead and work the second one out. So we're gonna add non are on both sides. And when I do, I get eight negative. 10 plus nine are It's gonna be negative. Are is greater than or equal to 15. We're going to subtract eight from both sides so negative R is greater than or equal to seven. We need to divide by negative one, which means we're gonna flip are signs so our is less than or equal to negative seven. Now, this is an or statement so that it's absolutely okay that one has an answer and the other one doesn't. So that just means that we can Onley graph one solution and we can Onley graph or is less than or equal to negative seven. So our is less than or equal to negative seven is the solution to this whole compound inequality.

Linear Equations and Functions

Linear Equations and Inequalities

Matrices and Determinants

Quadratic Equations

Applications of Trigonometric Functions

02:41