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Dimas [21]
3 years ago
14

Simplify the rational expression below.

Mathematics
1 answer:
LenKa [72]3 years ago
3 0

Answer:

A) (x-7)/(x+4)

Step-by-step explanation:

(x^2-10x+21)/(x^2+x-12)=[(x-3)(x-7)]/[(x+4)(x-3)]=(x-7)/(x+4)

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Write the equation of the line that passes through (3, 4) and (2, −1) in slope-intercept form.
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Answer:

5

Step-by-step explanation:

Slope equation is (y2-y1)/(x2-x1)

(-1-4)/(2-3)

-5/-1

5

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3 years ago
Find The Value Of The Following
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Answer:

2. (-1) 3. (-3.75)

Step-by-step explanation:

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explain how you can tell the difference between the half inch and quarter inch marks when measuring an object with a ruler
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3 years ago
A 10-pound block of ice melts at a rate of 3% per hour. Find the weight of the block of ice after 1 day.
mylen [45]

Answer:

The weight of the block of ice after 1 day is of 4.81 pounds.

Step-by-step explanation:

Equation for exponential decay:

The equation that models an amount after t hours, subject to exponential decay, is given by:

A(t) = A(0)(1 - r)^t

In which A(0) is the initial amount and r is the decay rate, as a decimal.

A 10-pound block of ice melts at a rate of 3% per hour.

This means that A(0) = 10, r = 0.03

So

A(t) = A(0)(1 - r)^t

A(t) = 10(1 - 0.03)^t

A(t) = 10(0.97)^t

Find the weight of the block of ice after 1 day.

One day has 24 hours, so this is A(24).

A(24) = 10(0.97)^{24} = 4.81

The weight of the block of ice after 1 day is of 4.81 pounds.

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