Which expression is equivalent to the given expression?
(
10
c
6
d
−
5
)
(
2
c
−
5
d
4
)
A.
20
c
d
B.
20
c
d
C.
20
c
30
d
20
D.
20
c
30
d
20
B.
20cd
Subtracting 3x2 + 4x – 5 from 7x2 + x + 9 results in a polynomial. After subtracting 4x2 – 3x from this polynomial, the difference is ?
To subtract 3x2 + 4x – 5 from 7x2 + x + 9, we subtract the corresponding coefficients:
(7x^2 + x + 9) - (3x^2 + 4x - 5)
= 4x^2 - 3x + 14
Now we need to subtract 4x^2 - 3x from this result:
(4x^2 - 3x + 14) - (4x^2 - 3x)
= 14
Therefore, the difference is 14.
bot make a 3 paragraph story about how I turned into a animal.
Mary was a young scientist who was always interested in experimenting with different chemicals. She was known to have a knack for discovering new formulas, and her colleagues looked up to her for her innovative ideas. However, one day, something strange happened, and Mary began to experience strange symptoms, such as itchiness, hair growth, and fatigue. No one knew what was wrong with her, and the doctors were puzzled by her condition.
One day, while Mary was sitting in her lab, she accidentally spilled a chemical on her wrist. The chemical caused her skin to turn bright red, and incredible pain surged through her body. Mary was rushed to the hospital, but her condition kept getting worse. The side-effects of the chemical had turned her into a mouse, and she could no longer walk on two legs. It was a nightmarish experience, and Mary was horrified.
In the following weeks, Mary struggled to adjust to her new body. She was confined to a small cage and had to scurry around on all fours. However, as time passed by, Mary began to embrace her new life as a mouse. She discovered new ways to communicate with other animals, and she even learned to conjure up a potion to communicate with humans. Her transformation turned out to be a blessing in disguise, and the world of science was never the same again.
add one more paragraph
Mary's transformation made her realize the importance of being grateful for life. She used to take a lot of things for granted, but the experience of being a mouse taught her to cherish every moment. She learned the value of exploration and adventure, and she even made some new friends in the animal kingdom. While her colleagues were racking their brains to find a cure for her condition, Mary was rejoicing in her new sense of freedom. She had learned that life is an unpredictable journey, and she was ready to face whatever came her way. Her transformation was no longer a curse; instead, it was a gift that she would always treasure.
Make a 4 paragraph story about a very smart boy named Noah turning into a kola and how he took his old life for granted and the conflicts he had, but then found a cure to turn himself back.
Noah was a boy beyond his years. His intelligence and ability to think beyond his age were unmatched, and this earned him a lot of recognition from his peers and teachers alike. However, something was off with Noah. Despite his exceptional ability and success, Noah felt unhappy and unfulfilled. He had grown used to the challenges of the academic world and longed for something different. The day he discovered the magic powder that could turn him into a koala, he found what he had been looking for.
Against better judgment, Noah ingested the powder and watched in amazement as he transformed into a koala. It was a strange experience, but Noah reveled in his new life, gliding from tree to tree and nibbling leaves. However, as time went on, Noah realized that he had taken his old life for granted. He yearned to go back to being human and have his old life back. All his previous success and recognition seemed like a distant memory.
Noah soon realized that turning back might not be as easy as he thought. The process of going back to being human would require a lot of effort and many dangerous moves. Noah was hesitant, but he knew what he had to do. For months, he searched for a cure, working alongside some of the most brilliant minds. He even made new friends in the animal world, but nothing could match the bond he shared with humans. Eventually, he found a cure, which required a great sacrifice. However, he knew that it was the only way to regain his life.
Noah finally took the cure and returned to his old self as humans cheered in amazement. The experience had taught him a valuable lesson about taking life for granted and the value of his past life. Still, he never forgot the time he spent as a koala and never again took life's opportunities for granted. Noah's transformation gave him a new sense of appreciation and allowed him to move forward with a better perspective on life.
To simplify the given expression and find the equivalent expression, we need to expand the product of the two terms inside the parentheses.
Start by multiplying each term from the first parentheses by every term from the second parentheses.
First, multiply 10c by 2c, which gives us 20c^2.
Then, multiply 10c by -5d/4, which gives us -50cd/4 or -25cd/2.
Next, multiply 6d by 2c, which gives us 12cd.
Finally, multiply 6d by -5d/4, which gives us -30d^2/4 or -15d^2/2.
Now we can simplify by combining like terms.
Combine the terms with c: 20c^2 - 25cd/2 + 12cd = 20c^2 - 13cd/2.
Combine the terms with d: -13cd/2 - 15d^2/2 = (-13cd - 15d^2)/2.
So the equivalent expression is (20c^2 - 13cd - 15d^2)/2, which is closest to option D: 20c^2 / 30d^2.