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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 $\$ 120 .$

02:13

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. A mountain climber models the temperature $T$ ( in $^{\circ} \mathrm{F}$ ) at elevation $h$ (in ft) by $$T=70-0.003 h$$ (a) Find the temperature $T$ at an elevation of 1500 $\mathrm{ft}$ . (b) If the temperature is 64$^{\circ} \mathrm{F}$, what is the elevation?

01:11

Ruirui L.

Making Models : Write an algebraic formula that models the given quantity. 13. The number $N$ of cents in $q$ quarters

00:50

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

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we're being asked to simplify the following expression. So the first thing when we simplify expressions is we always want to get rid of the parentheses. Here's the biggest thing that most people would dio. Ah, lot of people right here. If they read, this problem will go ahead and subtract nine minus three, which is the absolute wrong thing to dio. Almost think of it like the order of operations distributing means to multiply. And you should do your multiplication always before your subtraction. So always get rid of your prophecies first. So what do we distributing by in this case? Well, what's determine front of the parentheses? Well, that's gonna be negative three. So that means we need to multiply both terms in our parentheses by negative three. So we're gonna bring down the first term positive nine. Then we're gonna multiply negative three by two X, Then we're gonna have to multiply negative three by the second term. In the preface, e positive four. So now let's go ahead to do the multiplication, so I'm gonna bring down my first term. Then we have negative three times two X, which is negative six x and then we have negative three times four, which is minus 12. Alright. Well, now we have to see if we can simplify fervor. We've gotten rid of the parentheses, which is great. But now we have to see if we can combine any pairs of, like terms. Well, we do have, like, terms are constants. Here we have nine and negative 12. They're like terms because they have the in this case. Because even though you're typically looking for variables, constant terms are always considered like terms. So let's go ahead and group these. So we're gonna group the nine minus 12 together and then our middle term negative six x does not have a leg term, so we're just gonna bring that down now let's go ahead and combined are like terms while nine minus 12 is negative three and again, the negative six x didn't have a late term. So we just bring that down Now that we've got him with the get out of the rid of our parentheses and we've combined our like terms, we have now simplified our expression completely. So our final answer is negative three minus six x

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