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4 years ago

If r(x) = 3x – 1 and s(x) = 2x + 1, which expression is equivalent to (r/s)(6)?

Mathematics

2 answers:

Vera_Pavlovna [14]4 years ago

8 0

<span>A. 3(6)-1/2(6)+1 this is the answer

</span>

Alex777 [14]4 years ago

6 0

Answer:

$\frac{3(6)-1}{2(6)+1}\text{ or }\frac{18-1}{12+1}\text{ or }\frac{17}{13}$

Step-by-step explanation:

Given functions,

$r(x) = 3x -1------(1)$

$s(x) = 2x + 1-----(2)$

$\because \frac{r}{s}(6)=\frac{r(x)}{s(x)}$

From equation (1) and (2),

$\frac{r}{s}(x)=\frac{3x-1}{2x+1}$

Put x = 6,

$\frac{r}{s}(6) = \frac{3(6)-1}{2(6)+1}=\frac{18-1}{12+1}=\frac{17}{13}$

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Write the ratio 12:16:8 in simplest form

Morgarella [4.7K]

Answer:

$\huge\boxed{\bf\: 3:4:2}$

Step-by-step explanation:

In the given ratio, $12:16:8$ , we can see that all the 3 numbers in ratio are multiples of 4. Hence the lowest common multiple (LCM) of the given ratio = 4.

Now, let's divide the 3 numbers by 4.

$12:16:8\\= \frac{12}{4}:\frac{16}{4}:\frac{8}{4}\\=\boxed{\bf\: 3:4:2}$

This ratio cannot be further simplified as they don't have any common multiples except for 1.

So, the simplified ratio = $\boxed{\bf\: 3:4:2}$

$\rule{150pt}{2pt}$

5 0

2 years ago

A farmer has just tilled her 51-yard by 68-yard field. To survey her field, the farmer begins in one corner and walks the length

Bumek [7]

Answer: l +w+ hypotenuse or 204

Step-by-step explanation: so the farmer walks the length then the width of the field then the diagonal which we don't know using pythagorean to find that last side then add the values 51^2+68^2=c^2 and 51+68+85= 204

6 0

3 years ago

Divide the fractions and simplify the answer 1/2 5/8

NeTakaya

To solve this let our write this fraction in terms.
$\frac{1}{2} 
$ / $\frac{5}{8}$

So now let change this problem as a multiplication problem. To change this to multiplication problem we have to flip our second term

$\frac{1}{2} * \frac{8}{5}$

So, now let's simplify the terms. So we get
$\frac{4}{5}$

Thus this is our final answer.

6 0

3 years ago

Read 2 more answers

Find the vertical asymptote(s) of f (x) = StartFraction x squared minus 1 Over 2 x + 6 EndFraction.

viktelen [127]

<h2>Explanation:</h2>

We have the function:

$f(x)=\frac{x^2-1}{2x+6}$

The vertical asymptote can be found when the denominator equal zero, therefore:

$2x+6=0 \\ \\ 2x=-6 \\ \\ x=-3$

So the vertical asymptote occur at $x=-3$

3 0

3 years ago

Ann, Chang, and Kareem sent a total of

Gnoma [55]

It is given in the question that

Ann, Chang, and Kareem sent a total of 89 text messages over their cell phones during the weekend. Ann sent 9 fewer messages than Chang. Kareem sent 3 times as many messages as Ann.

Let number of messages Chang sent be x. And Ann sent 9 fewer than Chang, so Ann sent (x-9) messages. And Kareem sent 3 times as many messages as Ann, so Kareem sent 3(x-9) messages.

And the total messages are 89. That is

$x+x-9+3(x-9)=89$

Combining like terms

$x + x - 9 + 3x-27 =89
\\
5x -36=89
\\
5x = 125
\\
x =25$

So Chang sent 25 messages, Ann sent

$25-9=16 messages$

And Kareem sent

$3*16 = 48 messages$

8 0

3 years ago