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Gwar [14]
2 years ago
14

Which expression is equivalent to the following complex fraction?

Mathematics
1 answer:
mamaluj [8]2 years ago
3 0

The equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

<h3>How to determine the equivalent expression?</h3>

The expression is given as:

1 minus StartFraction 1 Over x EndFraction divided by 2

Rewrite properly as:

1 - \frac{1}{x} \div 2

Express the division as product

1 - \frac{1}{x} \times \frac 12

Evaluate the product

1 - \frac{1}{2x}

Take the LCM

\frac{2x - 1}{2x}

Hence, the equivalent expression of 1 - \frac{1}{x} \div 2 is \frac{2x - 1}{2x}

Read more about equivalent expression at:

brainly.com/question/27911936

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F(1)=-12, f(n)=2f(n-1) <br> find first 4 terms
amid [387]
<h3>First four terms are:   -12, -24, -48, -96</h3>

============================================

Explanation:

The notation f(1) = -12 tells us that the first term is -12.

The equation f(n) = 2*f(n-1) indicates that we're multiplying the (n-1)th term by 2 to get the nth term. Basically we multiply each term by 2 to get the next term.

-12*2 = -24

-24*2 = -48

-48*2 = -96

So the first four terms are -12, -24, -48, -96.

-----------------------------------

Alternative Approach

f(1) = -12 .... first term

f(n) = 2*f(n-1) ... nth term recursive formula

f(2) = 2*f(2-1) ... plug in n = 2

f(2) = 2*f(1)

f(2) = 2*(-12) ... plug in f(1) = -12

f(2) = -24 ... second term

f(n) = 2*f(n-1) .... resetting for the next computation

f(3) = 2*f(3-1) ... plug in n = 3

f(3) = 2*f(2)

f(3) = 2*(-24)  ... plug in f(2) = -24

f(3) = -48 .... third term

f(n) = 2*f(n-1) ... one more reset

f(4) = 2*f(4-1) .... plug in n = 4

f(4) = 2*f(3)

f(4) = 2*(-48) ... plug in f(3) = -48

f(4) = -96 ... fourth term

We get the first four terms to be -12, -24, -48, -96, which was the same as earlier.

4 0
3 years ago
90% confidence interval is found to be (32, 48). what is the margin of error?
abruzzese [7]

Answer:

8

Step-by-step explanation:

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3 years ago
A car costs £14000. Work out the price after an 8% discount
Semenov [28]

Answer:

13999.92

Step-by-step explanation:

7 0
3 years ago
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Can someone help with question 3?
Montano1993 [528]
I am not sure but I think it's b. Hope this helps
3 0
3 years ago
Find the volume of a cylinder that is 8m tall and has a radius of 12m. Use 3.14 to approximate
dmitriy555 [2]
V= πr2h
V= (3.14x12mx12m)8m
V= (452.16mx8m)
V=3,617.28m^3
5 0
3 years ago
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