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Jlenok [28]
2 years ago
9

Simplify −45(30x−40)+(42x+4) . Write your answer in factored form.

Mathematics
1 answer:
kakasveta [241]2 years ago
5 0

solution

-4(327x-451)

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the north pole is in the middle of the ocean. A person at sea level at the north pole would be 3,949 miles from the center of th
musickatia [10]

Answer:

7,897.30 miles

Step-by-step explanation:

It is given that the North Pole is at a distance of 3,949 miles from the center of the earth.

We also know that the sea floor is below 2.4 miles from the sea level.

It is given that a submarine is located at the sea floor near North Pole. Hence, the distance of the submarine from the center of the earth would be

3949 - 2.4 = 3946.6 miles.

On the other hand, the South Pole is given to be at an elevation of 1.7 miles from the sea level.

Since we know that the sea level is at a distance of 3949 miles from the center of the earth, we can immediately calculate the distance of the South Pole from the center of the earth to be

3949 + 1.7 = 3950.7 miles.

Putting all of this together, we see that the center of the earth is at a distance of 3946.6 miles from the submarine near the North Pole, and the center of the earth in turn is 3950.7 miles from the South Pole.

Hence, the distance between the submarine and a person on the South Pole = 3946.6 + 3950.7 = 7897.3 miles.

6 0
3 years ago
Conplete the square to solve the quadratic equation. x<br><img src="https://tex.z-dn.net/?f=1%20%7Bx%7D%5E%7B2%7D%20%20-%206x%20
o-na [289]

Answer:

\large\boxed{x=4\pm2\sqrt6}

Step-by-step explanation:

x^2-6x+12=2x+20\qquad\text{subtract}\ 2x\ \text{and}\ 12\ \text{from both sides}\\\\x^2-8x=8\\\\x^2-2(x)(4)=8\qquad\text{add}\ 4^2=16\ \text{to both sides}\\\\x^2-2(x)(4)+4^2=8+4^2\qquad\text{use}\ (a-b)^2=a^2-2ab+b^2\\\\(x-4)^2=24\iff x-4=\pm\sqrt{24}\\\\x-4=\pm\sqrt{4\cdot6}\\\\x-4=\pm\sqrt4\cdot\sqrt6\\\\x-4=\pm2\sqrt6\qquad\text{add 4 to both sides}\\\\x=4\pm2\sqrt6

6 0
2 years ago
The function f(x) = −x2 + 16x − 60 models the daily profit, in dollars, a shop makes for selling candles, where x is the number
castortr0y [4]
I wrote it out on paper and uploaded the answer for you. Let me know if you have any questions.

5 0
3 years ago
Read 2 more answers
Ben had a coupon for an additional 15% off of the sale price of any intem in a store. He uses his coupon to buy a shirt whose sa
borishaifa [10]

Answer:

3

Step-by-step explanation:

15% of 20=0.15 x 20=3

4 0
3 years ago
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What is the value of X to the nearest tenth?
Dennis_Churaev [7]

The answer to your question is 21.5

8 0
3 years ago
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