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2 years ago

11

Simplify completely quantity 12 x plus 36 over quantity x squared minus 4 x minus 21 and find the restrictions on the variable..

2 answers:

Vesna [10]2 years ago

4 0

The answer is 12/x-7, x ≠ 7, x ≠ −3

Softa [21]2 years ago

3 0

To simplify the expression stated, it is better to write it in the numerical form. The statement is:

<span>quantity 12 x plus 36 over quantity x squared minus 4 x minus 21

The numerical form is:

12x+36 / (x</span>²-4x-21)

Simplifying,
12x+36 / (x<span>²-4x-21)
</span>12 (x+3) / (x+3)(x-7)

We can cancel the x+3 term, leaving only:
12/(x-<span>7)</span>

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3 years ago

The voltage V in a simple electrical circuit is slowly decreasing as the battery wears out. The resistance R is slowly increasin

hoa [83]

Answer:

$\frac{dI}{dt}=-0.00016 A/s$

Step-by-step explanation:

We are given that

By ohm's law

$V=IR$

R=389 ohm

I=0.03 A

$\frac{dV}{dt}=-0.06V/s$

$\frac{dR}{dt}=0.07ohm/s$

We have to find rate of change of current I means $\frac{dI}{dt}$

Differentiate the equation w.r.t t

$\frac{dV}{dt}=\frac{dI}{dt}R+I\frac{dR}{dt}$

Substitute the values then we get

$-0.06=\frac{dI}{dt}\times 389+0.03\times 0.07$

$-0.06=389\frac{dI}{dt}+0.0021$

$-0.06-0.0021=389\frac{dI}{dt}$

$-0.0621=389\frac{dI}{dt}$

$\frac{dI}{dt}=\frac{-0.0621}{389}=-0.000160 A/s$

Hence, the current I is changing at the rate=-0.00016A/s

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3 years ago

Which two features are parts of a line graph? <br><br> A a line of best fit

shepuryov [24]

An x axis because to make a graph you need y and x axis

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2 years ago

3,100 mg is how many grams

ziro4ka [17]

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2 years ago

1. The population of a small town has established a growth rate of 3% per year. If the

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Answer:

17 years

Step-by-step explanation:

3% of 2000 = 60

3000-200 = 1000

1000 ÷ 60= 16.6666666667

Round to the nearest whole number: 17

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2 years ago