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Inessa [10]
2 years ago
10

I need help on this asap

Mathematics
1 answer:
Stells [14]2 years ago
7 0
Stella will have $160 saved after 6 months .

This is because, each month, Stella sets aside double the amount


Month 1 : $5

Month 2 : $10

Month 3 : $20

Month 4 : $40

Month 5 : $80

Month 6 : $160


Hope this is correct!
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Option 3

The solution for given expression is \frac{(x - 4)(x - 4)}{(x + 3)(x + 1)}

<h3><u>Solution:</u></h3>

Given that we have to divide,

\frac{x^2 -16}{x^2 + 5x + 6} \div \frac{x^2 + 5x + 4}{x^2 -2x - 8}   ---- (A)

Let us first factorize each term and then solve the sum

Using a^2 - b^2 = (a + b)(a - b)

x^2 -16 = x^2 - 4^2 = (x + 4)(x -4)  ----- (1)

x^2 + 5x + 6 = (x + 2)(x + 3)   ----- (2)

x^2 + 5x + 4 = (x+1)(x + 4)   ---- (3)

x^2 -2x - 8 = (x-4)(x + 2)   ---- (4)

Now substituting (1), (2), (3), (4) in (A) we get,

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \div \frac{(x+1)(x+4)}{(x-4)(x +2)}

To do division with fractions, we turn the second fraction upside down and change the division symbol to a multiplication symbol at the same time. Then we treat this as a multiplication problem, by multiplying the numerators and the denominators separately.

\frac{(x + 4)(x -4)}{(x +2)(x +3)} \times \frac{(x - 4)(x + 2)}{(x + 1)(x + 4)}

On cancelling terms we get,

= \frac{(x -4)(x-4)}{(x + 3)(x + 1)}

Thus option 3 is correct

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