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Svetach [21]
2 years ago
8

write a decimal division problem that has an estimated quotation of 4. explain how to get the estimation

Mathematics
1 answer:
vodomira [7]2 years ago
7 0

9514 1404 393

Answer:

  15.8 ÷ 3.9

Step-by-step explanation:

To make up this problem, we can start with two numbers whose quotient we know is 4, such as 16 and 4. Then we can choose two numbers that round to these values, such as 15.8 and 3.9

__

The problem 15.8 ÷ 3.9 has an estimated quotient of 4. The estimate is found by rounding each value to the nearest integer and finding the quotient of those numbers: 16/4 = 4.

_____

<em>Additional comment</em>

The actual quotient is 4 2/39, about 4.05128.

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<h2>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h2>

Step-by-step explanation:

f(x) =  \frac{2x + 6}{3x}  \\  \\ g(x) =  \frac{ \sqrt{x}  - 8}{3x}

To find ( f - g)(x) , subtract g(x) from f(x)

That's

( f - g)(x) =  \frac{2x + 6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}

Since they have a common denominator that's 3x we can subtract them directly

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\frac{2x  +  6}{3x}  -  \frac{ \sqrt{x}  - 8}{3x}    =  \frac{2x  + 6 - ( \sqrt{x} - 8) }{3x}  \\  =  \frac{2x + 6 -  \sqrt{x} + 8 }{3x}  \\  =  \frac{2x -  \sqrt{x} + 6 + 8 }{3x}

We have the final answer as

<h3>( f - g)(x)  =  \frac{2x -  \sqrt{x} + 14 }{3x}</h3>

Hope this helps you

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3 years ago
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