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3 years ago

PLEASE ANSWER + BRAINLIEST!! Factor completely. 4k - 20k^9 = 3b^2 - 108 =

1 answer:

7 0

$4k-20k^9=4k(1-5k^8)=4k\left[1^2-(k^4\sqrt5)^2\right]\\\\=4k(1-k^4\sqrt5)(1+k^4\sqrt5)=4k\left[1^2-(k^2\sqrt[4]5)^2\right](1+k^4\sqrt5)\\\\=4k(1-k^2\sqrt[4]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k\left[1^2-(k\sqrt[8]5)^2\right](1+k^2\sqrt[4]5)(1+k^4\sqrt5)\\\\=4k(1-k\sqrt[8]5)(1+k\sqrt[8]5)(1+k^2\sqrt[4]5)(1+k^4\sqrt5)$

$3b^2-108=3(b^2-36)=3(b^2-6^2)=3(b-6)(b+6)$

$Used:\ (a-b)(a+b)=a^2-b^2$

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Write the expression in standard form. <br><br> 27ℎ ÷ 3ℎ

Andrews [41]

Answer:

I think 9h

Step-by-step explanation:

Since both variable are the same, you can divide the numbers. 27/3=9. Add back in the variable, and the answer would be 9h. That's how I would solve it at least

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3 years ago

What is the percent rate of change in function y=(0.96)^x? Determine Whether The Function Represents Exponential Growth Or Expon

mihalych1998 [28]

B
The original value will be multiplied by 0.96 each time, making it 4% less than what it was.

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3 years ago

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WILL GIVE BRAINLIEST b. Describe the function over each part of its domain. State whether it is constant, increasing, or decreas

True [87]

Answer:

When x <= 8000

The cost remains constant at 0.35 when x increases from 0 to 8000

The slope of cost function over this part is 0

When 8000 < x <= 20000

The cost remains constant at 0.75 when x increases from 8000 to 20000

The slope of cost function over this part is 0

When 20000 < x <= 42000

The cost decreases when x increases from 20000 to 42000

The slope of cost function

$m = \frac{y2 - y1}{x2 - x1} \\ = \frac{(0.83 - \frac{40000}{200000}) - (0.83 - \frac{20000}{200000})}{40000 - 20000}$

m= -5 × 10^-6

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2 years ago

A mine worker is in a tunnel 25 feet below the ground. He descends another 13 feet. What is his final position? i already know t

Marina86 [1]

Answer: -25 - 13

This simplifies to -38

So the worker's final position is 38 feet below the ground.

A diagram is shown below.

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Explanation:

Draw a vertical number line. Plot 0 on it to indicate the ground level, or surface level. Then plot -25 on it, which is below 0. This is 25 feet below the ground.

To move 13 further feet downward, we will subtract 13 from -25. Subtracting a positive means we move downward.

For example, start at the 30th of a building. This is marked as +30 or just 30 on the vertical number line. Subtract off 13 to go down 13 floors and we have 30-13 = 17. So after going down 13 floors, we're at the 17th floor now.

Going back to the problem at hand, we start at -25 and subtract off 13 to get the final answer -25 - 13

The answer is not -25 - -13 and it is not -25 - (-13). This is because the two negatives cancel to be a positive. So -25 - (-13) becomes -25+13. Here we're starting at -25 but then going up 13 feet. Instead we want to go down 13 feet.

------------------------------------

After we determine the expression is -25 - 13 we will effectively add the positive versions of those numbers like so

25+13 = 38

But the final answer is negative because we're starting underground and moving further underground.

We can write it like this

-25 - 13 = -(25+13) = -(38) = -38

Therefore, if the worker starts off 25 feet underground, and moves 13 feet downward, then the worker ends up 38 feet underground. Again, use the vertical number line to help see this.

Check out the diagram below.

7 0

2 years ago

If you make a 25% of discount how much money do you subtract?

pantera1 [17]

Lets say u want an item that originally cost $ 50.....and u get a 25% discount....then u are actually subtracting 25% of the original price.

25% of 50 .....turn the percent to a decimal..." of " means multiply
0.25 * 50 = 12.50.....so u would be subtracting 12.50 from $ 50 for the discounted price which is (50 - 12.5) = 37.5

here is another example...
u want an item that costs $ 90....and it is 25% off.....so u would be subtracting (25% of 90).......u would be subtracting (0.25 * 90) = 22.50 from the original price to arrive at the discounted price.
90 - 22.50 = 67.50...the discounted price

But let me show u something....taking 25% off is the same as paying 75%..
so lets say u want an item that costs $ 60....and u get a 25% discount...this means u r actually paying 75%.....ur paying 75% of 60.
0.75 * 60 = $ 45...this is what u r paying....no need for subtracting

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3 years ago

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