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Black_prince [1.1K]
2 years ago
10

Help solve these algebraic fractions please with explanation would be great <3​

Mathematics
1 answer:
sineoko [7]2 years ago
5 0

Answer:

<em><u>7</u></em><em><u>/</u></em><em><u> </u></em><em><u>Ans;</u></em>

\frac{x + 2}{ x + 4}  \div  \frac{ {x }^{2}  - 2x - 8}{ {x}^{2}  + 2x - 8}  \\  \\  \\  \frac{x + 2}{x + 4}  \times  \frac{ {x}^{2} + 2x  - 8 }{ {x}^{2}  - 2x - 8}  \\  \\  \\  \frac{x + 2}{x + 4}  \times  \frac{(x - 2)(x + 4)}{(x - 4)(x + 2)}  \\  \\  \\  =1 \times   \frac{x - 2}{x - 4}  \\  \\  \\  =  \frac{x - 2}{x - 4}

___o__o__

<em><u>9</u></em><em><u>/</u></em><em><u>Ans;</u></em>

\frac{ {x}^{2}  - 9}{ {x}^{2}  - 6x + 9}  \div  \frac{x + 4}{x - 3}  \\  \\  \frac{ {x}^{2} - 9 }{ {x}^{2}  - 6x + 9}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  \frac{(x + 3)(x - 3)}{(x - 3)(x - 3)}  \times  \frac{x - 3}{x + 4}  \\  \\  \\  =  \frac{(x + 3)}{1}  \times  \frac{1}{(x + 4)}  \\  \\  \\  =  \frac{x + 3}{x + 4}

__o__o__

In the two questions, we first replace the division with multiplication with flipping the fraction after the division sign, secondly we analyze any equation that needs analysis to simplify it, thirdly, to simplify the fraction by deleting the numerator and the similar denominator .

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Larry Mitchell invested part of his $36,000 advance at 7% annual simple interest and the rest at 2% annual simple interest. If h
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The amount invested at each rate

Investment at 7% = $25000

Investment at 2%  = $11,000

<h3>What is investment?</h3>

Investment definition is an asset acquired or invested in to build wealth and save money from the hard earned income or appreciation.

Given:

Larry Mitchell invested = $36,000 at 7% annual simple interest

the rest at 2% annual simple interest.

Total investment = 36000

let the investment at 7% is x

then, invested at 2% = 36000 - x

Total interest earned = $1,970

Simple interest = principal * rate * time

Investment at 4%:

(x * 0.07) + [(36000 - x) * 0.02] = 1970

0.07x + 720 - 0.02x= 1970

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0.05x = 1250

x= 25000

Hence,

Investment at 7% = $25000

Investment at 2% = $36,000 - $25000 = $11,000

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brainly.com/question/18801028

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