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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 $\mathrm{km}^{3}$ .

03:07

Taylor S.

Using Models Use the model given to answer the questions about the object or process being modeled. Arizonans use an average of 40 gal of water per person each day. The number of gallons $W$ of water used by $x$ Arizonans each day is modeled by $W=40 x$ . (a) Make a table that gives the number of gallons of water used for each $1000-$ person change in population, from 0 to $5000 .$ (b) If the pressure is $30 \mathrm{lb} / \mathrm{in}^{2},$ what is the depth? (b) What is the population of an Arizona town whose water usage is $120,000$ gal per day?

01:38

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 $\$ 120 .$

01:15

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we're being asked to simplify the following expressions by using distributive property. So the one thing you'll notice when you simplify expressions you can't have parentheses in your final answer. So we're going to use to the strip distributive property in this case. So let's take a look at number one. We're multiplying eight to the quantity of three X minus five. Well, that means we have to take eight and multiply it to both terms in those Prem theses. So essentially, we're gonna multiply a by the first term, which is three X and then we have to multiply the positive eight by the second term. Negative five. Well, let's go ahead and multiply them well, eight times three x is 24 x, and then we have eight times negative five, which is negative. 40. Now we can't simplify this expression. Any fervor because 24 x and negative for the are not like terms, so 24 x minus 40 will be our final answer. Now let's take a look at number two. In this case, we need to distribute the negative seven thio each term in this prophecy. So notice how there's three terms in the preface E So we're gonna need to multiply three times. So first we're gonna need to multiply negative seven by two x squared. Then we're gonna multiply negative seven by negative five X and then we'll need to multiply. Negative seven by positive, too. Uh huh. Sorry. My things being a little slow here, Here we go. So, unlike I said, we're gonna multiply negative seven by our last term. Positive, too. So let's go ahead and do the multiplication. Well, negative. Seven times two x squared is negative. 14 x squared. Next, we have negative seven times negative five x, which is positive 35 x and lastly, we have negative seven times positive two, which is negative. 14. And after a while, you might not necessarily have to write the second line in. You might be able to go right from the first line to our last line here. Um, that just takes practice. So now take a look at the three terms we have. Do we have any pairs of, like terms? The answer's no, because none of them have the same variables raised to the same exponents. So because we've gotten rid of our prophecies and we cannot combine any pairs of like terms. We have now simplified completely, so our final answer is negative. 14 X squared plus 35 x minus 14

Linear Functions

Solve Linear Inequalities

Functions

Systems of Equations and Inequalities

Graph Linear Functions

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