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3 years ago

HELP PLEASE Simplify the rational expression. State any excluded values. x^2-12x+35/x^2-3x-10

1 answer:

5 0

$\frac{{x}^{2} - 12x + 35 }{ {x}^{2} - 3x - 10 }$
Factorise both the term by splitting the mid term and you'll get

$\frac{ {x}^{2} - 5x - 7x + 35}{ {x}^{2} - 5x + 2x - 10 } \\ = \frac{x(x - 5) - 7(x - 5)}{x(x - 5) + 2(x - 5)} \\ = \frac{(x - 7)(x - 5)}{(x + 2)(x - 5)} \\ = \frac{x - 7}{x + 2}$

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Karla invests $300 compounded every 6 months at a rate of 10% for 3 years. At the end of three years, Karla will have $402.03 in

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Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

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n represents the periodic interval at which it was compounded.

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From the information given,

P = $300

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3 years ago

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Answer:

Approximately 62 gallons of water will be used by Lee County by the year 2025.

Step-by-step explanation:

The amount, in millions gallons of water, spent by Lee County, in t years after 2019, is given by the following equation:

$P(t) = P(0)(1 + r)^{t}$

In which P(0) is the amount spent on 2019 and r is the increse rate, as a decimal.

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This means that $P(0) = 55$

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This means that $r = 0.021$

$P(t) = P(0)(1 + r)^{t}$

$P(t) = 55(1 + 0.021)^{t}$

$P(t) = 55(1.021)^{t}$

Approximately how many million gallons of water will be used by Lee County by the year 2025?

2025 is 2025 - 2019 = 6 years after 2019. So this is P(6).

$P(t) = 55(1.021)^{t}$

$P(6) = 55(1.021)^{6}$

$P(6) = 62.3$

Rounded to the nearest millions

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3 years ago

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Answer:

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since 16m with 9p --> 8 walls

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