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3 years ago

If f(x) = 7 + 4x and g(x)=1/2x, what is the value of {f/g}(5)?

Mathematics

2 answers:

lisabon 2012 [21]3 years ago

7 0

Answer: 270

Step-by-step explanation:

Given: $f(x)=7+4x$ and $g(x)=\dfrac{1}{2x}$

Then, the rational function (f/g) is given by :-

$(f/g)(x)=\dfrac{f(x)}{g(x)}\\\\\Rightarrow\ (f/g)(x)=\dfrac{7+4x}{\dfrac{1}{2x}}\\\\={2x(7+4x)}$

Now, the value of (f/g) is given by :-

$(f/g)(5)=2(5)(7+4(5))=270$

Hence, the value of (f/g) (5) = 270.

Misha Larkins [42]3 years ago

4 0

I hope this helps you

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4 years ago

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Cynthia Besch wants to buy a rug for a room that is 1919 ft wide and 2727 ft long. She wants to leave a uniform strip of floor a

yulyashka [42]

Answer:

The dimension of the rug would be 17 ft × 9 ft.

Step-by-step explanation:

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length of the room = 27 ft.

width of the room = 19 ft.

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So,

The length of rug = (27-2x)ft.

Width of rug= (19-2x)ft.

∴ Area of the rug= length×width

$= (27-2x)(19-2x)$

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According to the question,

$513-92x+4x^2=153$

$513-92x+4x^2-153=0$ ( subtract 153 both sides)

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$x^2-23x+90=0$

$x^2-(18+5)x+90=0$ ( Middle term splitting)

$x^2-18x-5x+90=0$

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4 years ago

Cassie is a half pound of sugar in her cabinet her cake recipe calls for two tenths of a pound of sugar how many cakes can she m

mamaluj [8]

The information's given in the question should be very minutely checked. Based on those given information's the answer to the question can easily be deduced.
Amount of sugar in the cabinet of Cassie = 1/2 pound
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The number of cakes that Cassie can make = (1/2)/(1/5)
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So from the above deduction we can easily conclude that Cassie can make a total of 2 cakes with the sugar she has and there will still be some sugar left.

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4 years ago