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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.

00:57

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?

00:52

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we're being asked to simplify the following expression. So remember, the first thing we want to do one we're simplifying is to get rid of our parentheses. So to do that, we need to use the distributive property. So notice we have two different sets of premises here. So let's start by first looking at this first set. So the first thing we need to dio is distribute to To To both terms in the parentheses. So, in other words, we're going to take two and multiply it by the first term three X Then we're gonna take the positive two and multiply it by the second term. Negative four. Now, take a look at your next next set of parentheses. Out in front of it is a negative seven. So we're going to need to multiply both terms in our premises by negative seven. So we're gonna need to multiply negative seven by positive nine, and then we're gonna have to multiply negative seven by negative X Now, the last time in our problem. Positive three x just comes down. It's not gonna multiplied by anything. So now let's go ahead and take care of the multiplication. Well, two times three x is six x two times negative. Four is negative. Eight. Then we have negative seven times nine, which is negative. 63. Then we have negative seven times negative X. Now don't forget when you don't see a coefficient in front of the variable, it's imagine everyone so negative seven times negative. One X is positive. Seven X and then we're gonna bring down our last term. Positive. Three x. Okay, great. Now we've taken care of all of our distributing. Now we just have to combine our pairs of late terms. So let's take a look for Let's find our like terms. Well, first we have our ex terms. We have six X. We have positive seven x on. We have positive three x So let's go ahead and group those together so we'll have six x plus seven X plus three X Next we have our constants. We have negative eight and negative 63 so we'll group these together as well. Nada put group dog like terms together. Let's go ahead and combined them. So first we have six x plus seven X plus three x, while six plus seven is 13 and 13 plus three is 16, which means we're gonna have 16 x. Our next parallel terms are negative. Eight minus 63. Well, negative eight minus 63 is negative. 71. Now that we have distributed and combined are like terms, we now can no longer simplify forever. So our final answer is 16 x minus 71.

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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