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3 years ago

What is the greatest common factor of the numerator and denominator of the rational expression below? 5x-20/x^2-2x-8

1 answer:

8 0

Factories both equations:
5(x - 4) / (x + 2)(x - 4)

Then take out the common brackets:
5 / x + 2

Minus 2 from both sides:
3 / x

If you are looking for the greatest common factor of the numerator and denominator, the answer would be (x - 4)

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To approximate the number of bees in a hive, multiply the number of bees that leave the hive in one minute by 3 and divide by 0.

AlekseyPX

Answer:

There are about 5,357 bees in the hive

Step-by-step explanation:

Let

x -----> the number of bees that leave the hive in one minute

y -----> the approximate number of bees in a hive

we know that

The formula to calculate the approximate number of bees in a hive is equal to

$y=\frac{3x}{0.014}$

For x=25

substitute

$y=\frac{3(25)}{0.014}$

$y=5,357\ bees$

therefore

There are about 5,357 bees in the hive

6 0

3 years ago

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The cost of text books for school increases with the average class size identify the independent and dependent quantity in the s

Zinaida [17]

C average class size; cost

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3 years ago

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A jeweler wants to minimize business costs and has found that the average cost in dollars per necklace is given by C(x)=0.5x^2-7

Vika [28.1K]

Answer:

The maximum cost is 41 dollars per necklace.

Step-by-step explanation:

The average cost in dollars/necklace is given by :

$C(x)=0.5x^2-7x+65.5$ .....(1)

Where

x is the number of necklaces that are created

To maximize the cost, find the value of x by putting dC/dx = 0

$\dfrac{d}{dx}(0.5x^2-7x+65.5)=0\\\\x-7=0\\\\x=7$

Now put the value of x = 7 in equation (1).

$C(x)=0.5(7)^2-7(7)+65.5\\\\=41\ \text{dollars per necklace}$

Hence, the maximum cost is 41 dollars per necklace.

8 0

3 years ago

Please Show Work.

Y_Kistochka [10]

Answer:

The answer is 144°

Step-by-step explanation:

180 - 36 = 144

5 0

3 years ago

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What is the y- intercept of the line shown?

timofeeve [1]

Y-intercept when x = 0
so
y = 4

8 0

3 years ago