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Harman [31]
3 years ago
5

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

Mathematics
1 answer:
katrin [286]3 years ago
6 0

Answer:

\large\boxed{\dfrac{3(6)-1}{2(6)+1}}

Step-by-step explanation:

\left(\dfrac{f}{g}\right)(x)=\dfrac{f(x)}{g(x)}\\\\\text{We have}\\\\f(x)=3x-1,\ g(x)=2x+1\\\\\left(\dfrac{f}{g}\right)(x)=\dfrac{3x-1}{2x+1}\\\\\left(\dfrac{f}{g}\right)(6)\to\text{put x = 6 to the equation of the function}\ \left(\dfrac{f}{g}\right)(x):\\\\\left(\dfrac{f}{g}\right)(6)=\dfrac{3(6)-1}{2(6)+1}

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In the diagram below of right triangle ACB, altitude CD is drawn by hypotenuse AB. if AB= 36 and AC= 12, what is the length of A
Nady [450]
36 squared + 12 squared = AD squared 
1296 + 144 = AD squared
square root of 1440 = AD
37.95
7 0
4 years ago
Fernando bought 8 pints of milk. How many fluid ounces of milk did he buy?
ipn [44]

1 pint = 16 fluid ounces.

Multiply number of pints by 16 to find total ounces:

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3 0
3 years ago
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A cleaning crew can clean 5 offices in 6 hours how many offices can they clean in 12 hours
weeeeeb [17]
1 cleaning crew = 5 offices in 6 hours
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12
6 x 2 = 12, 12 = the number of offices you're trying to find.
Therefore, you need to multiple 5 by 2 (number that is double), so
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8 0
3 years ago
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I need helpWith this problemFor my grandson. I did get some help but need more. Thank you!
Pani-rosa [81]

Step 1:

Percent is part of 100.

Step 2

First part:

60 units split into 80% and 20%

\begin{gathered} 80\text{ \% of 60 units = }\frac{80}{100}\text{ }\times60\text{ = 48} \\ 20\text{ \% = 12} \end{gathered}

Second part

12 units = 40 %

\begin{gathered} 40\text{ \% = 12 units } \\ 60\text{ \%  = }\frac{60\times12}{40}\text{ = 18 units} \end{gathered}

Third part

30 % = 18 units

\begin{gathered} 30\text{ \%  =  18 units} \\ 70\text{ \%  = }\frac{18\text{ }\times\text{ 70}}{30}\text{ = 42 units} \end{gathered}

Fourth part

75 % = 42 units

\begin{gathered} 75\text{ \%  =  42 units} \\ 25\text{ \%  =  }\frac{25\text{ }\times\text{ 42}}{75}\text{ = 14 units} \end{gathered}

Final answer

14 + 42 = 56 units

The length of the bottom diagram = 56 units

5 0
1 year ago
The angle of depression of a boat from three quarters of a vertical pole is 35º. If the boat is 120 m from the foot of the pole,
Verdich [7]

Answer:

  112 m

Step-by-step explanation:

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  Tan = Opposite/Adjacent

If we let (3/4h) represent the length of the side opposite the given angle, and 120 m the side adjacent, we have ...

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Multiplying by the inverse of the coefficient of h, we get ...

  h = (160 m)tan(35°) ≈ 112 m

The height of the pole is about 112 meters.

4 0
2 years ago
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