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2 years ago

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

Mathematics

1 answer:

Airida [17]2 years ago

5 0

Answer:

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

Step-by-step explanation:

We know that for any two function f(x) and g(x) ,

$\dfrac{f}{g}(x)=\dfrac{f(x)}{g(x)}$

Given functions : $r(x)=3x-1$ and $s(x)=2x+1$

Then, $\dfrac{r}{s}(x)=\dfrac{r(x)}{s(x)}$

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

At x= 6 , we get

$\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

The , The expression is equivalent to $\dfrac{r}{s}(6)=\dfrac{3(6)-1}{2(6)+1}$

When we further simplify it , we get $\dfrac{r}{s}(6)=\dfrac{18-1}{12+1}=\dfrac{17}{13}$

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A water tank leaks 5 gallons of water each day. What integer represents the change in the number of gallons of water in the tank

andrey2020 [161]

Answer:

35 is the integer that represents the change in number of gallons of water in the tank after 7 days

Step-by-step explanation:

The water tank leaks 5 gallons in one day.

So if there is leakage of 5 gallons a day, then after 7 days the total leakage will be:

Total Leakage = Leakage per day * Total number of days

= 5 Gal/day * 7 day

= 35 Gallons

So, 35 is the integer that represents the change in number of gallons of water in the tank after 7 days ..

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2 years ago

mark has a cabinet door in his kitchen with the dimensions shown below. he creates a scale drawing where the width of the cabine

laiz [17]

Answer:

$h^{*} = 25\,in$

Step-by-step explanation:

Let consider that door has a height of 5 feet and a width of 3 feet. The scale factor is:

$n = \frac{15\,in}{3\,ft}$

$n = 5\,\frac{in}{ft}$

The height of the cabinet is:

$h^{*} = n \cdot h_{door}$

$h_{*} = \left(5\,\frac{in}{ft} \right)\cdot (5\,ft)$

$h^{*} = 25\,in$

6 0

2 years ago

Read 2 more answers

Which measurement is the best estimate for the capacity of a bottle of nail polish?

Law Incorporation [45]

The best estimate for the capacity of a bottle of nail polish is A: 10 mL

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2 years ago

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long. What is the length of the

lukranit [14]

Answer:

The length of the remaining piece of thread is $\frac{1}{16}.$

Step-by-step explanation:

Given:

A tailor cuts a piece of thread One-half of an inch long from a piece Nine-sixteenths of an inch long.

Now, to find the length of the remaining piece of thread.

Total thread = $\frac{9}{16} \ inch.$

Tailor cuts a piece of thread = $\frac{1}{2}\ inch.$

Now, to get the length of the remaining piece of thread by subtracting tailor cuts a piece of thread from the total thread:

$\frac{9}{16} -\frac{1}{2} \\\\=\frac{9-8}{16} \\\\=\frac{1}{16}$

Therefore, the length of the remaining piece of thread is $\frac{1}{16}.$

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1 year ago

A recipe calls for 5 ounces of vinegar and 10 ounces of oil. Daren is making dressing with 9 ounces of vinegar using the same ra

g100num [7]

Answer:

Step-by-step explanation:

Set this up as ratio of vinegar to oil in fraction form:

$\frac{v}{o}:\frac{5}{10}$

That's what we're given. If we are looking to find how much oil he needs if he's using 9 ounces of vinegar, then 9 goes on top with the vinegar stuff and x goes on bottom as the unknown amount of oil:

$\frac{v}{o}:\frac{5}{10}=\frac{9}{x}$

Cross multiply to get

5x = 90 and

x = 18

Which you probably could do without the proportions. If he is using 5 ounces of vinegar and double that amount of oil, then it just makes sense that if he uses 9 ounces of vinegar he will double that amount in oil to use 18 ounces.

6 0

1 year ago