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Missouri State University

Campbell University

Harvey Mudd College

00:55

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. The volume $V$ of a cylindrical can is modeled by the formula $$V=\pi r^{2} h$$ where $r$ is the radius and $h$ is the height of the can. Find the volume of a can with radius 3 in. and height 5 in.

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 $C=$ _________.

01:04

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.

01:15

Jinseop S.

$3-12=$ Using Models Use the model given to answer the questions about the object or process being modeled. The sales tax $T$ in a certain county is modeled by the formula $T=0.06 x .$ Find the sales tax on an item whose price is $\$ 120 .$

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we're being asked to evaluate the given expression using the order of operations. And as you can see, I wrote our order of operations off to the right now because we have a fraction. What we need to dio is followed order of operations for both the numerator and denominator separately and then combined them at the end. So let's start with our numerator. All we have our operations is subtraction. Multiplication. So according to our order operations, we should take care of the multiplication first. What? Well, two times three is equal to six. So our numerator is just going to be 15 minus six. Now let's look at the denominator. Step one is grouping symbols which we do have. We have this bracket. So inside the grouping symbols, we also have to follow the order of operations. So our next step would be exponents, which we have. We have three squared, which remember means three times three, which is equal denied. So we're gonna have to to the third minus five bracket nine minus two times four. Now let's look at our go back to our numerator. Well, all we have is 15 minus six. So let's just subtract Well, 15 minus six is nine. So now we've evaluated are numerator. Now let's go back to the denominator. We still have our grouping. Simple. And inside the grouping symbol we have subtraction. Multiplication! Remember, we must take care of the multiplication first and two times four is equal to eight. So we're gonna have to To the third minus five Bracket nine minus eight. Now, as you can see, the numerous, there's all set. So we'll bring down the nine and the denominator. We still have our grouping. Simple. But all we have left is nine minus eight, which is equal to one. So we're gonna have to to the third minus five times one. So now we're taking care of our grouping. Simple. We still have the bracket there, but it's just to indicate multiplication. So now Step Two would be our exponents, which we have. We have to to the third, which remember, means two times two times two, which is eight. So course I got away from me, so we'll bring down our numerator. We said to to the third was eight. We have minus five times one. So now we're taking care of our exponents. So next we have multiplication and division and we dio we have five times one which is equal to five. So we're gonna have nine divided by eight minus five. Well, as you can see, we're getting there in the denominator. All we have left down there, it's eight minus five, which is equal to three. So we're gonna have nine divided by three. So now that we evaluated both the numerator and the denominator, now we're going to divide Well, nine divided by three is equal to three. So what we found is when we evaluate are given expression. Our final answer is positive three.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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