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Musya8 [376]
3 years ago
6

Simplify: –3(y + 2)2 – 5 + 6yWhat is the simplified product in standard form?

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
6 0

Answer by Mimiwhatsup:

\mathrm{Multiply\:the\:numbers:}\:3\cdot \:2=6\\=-6\left(y+2\right)-5+6y\\-6\left(y+2\right)\mathrm{Apply\:the\:distributive\:law}:\quad \:a\left(b+c\right)=ab+ac\\a=-6,\:b=y,\:c=2\\=-6y+\left(-6\right)\cdot \:2\\Apply\:minus-plus\:rules\\+\left(-a\right)=-a\\=-6y-6\cdot \:2\\\mathrm{Multiply\:the\:numbers:}\:6\cdot \:2=12\\=-6y-12\\=-6y-12-5+6y\\\mathrm{Simplify}\:-6y-12-5+6y\\Group\:like\:terms\\=-6y+6y-12-5\\\mathrm{Add\:similar\:elements:}\:-6y+6y=0\\=-12-5\\

\mathrm{Subtract\:the\:numbers:}\:-12-5=-17\\Answer is: =-17

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Y= -x +3 and y = x - 1
inysia [295]

Answer:

x=2 and y=1

Step-by-step explanation:

Rewrite equations:

y=−x+3;y=x−1

Step: Solve

y=−x+3

Step: Substitute−x+3foryiny=x−1:

y=x−1

−x+3=x−1

−x+3+−x=x−1+−x(Add -x to both sides)

−2x+3=−1

−2x+3+−3=−1+−3(Add -3 to both sides)

−2x=−4−2x−2=−4−2

(Divide both sides by -2)

x=2

Step: Substitute2forxiny=−x+3:

y=−x+3

y=−2+3

y=1(Simplify both sides of the equation)

Hope this Helps you :)

3 0
3 years ago
A company can manufacture x hundred items for a total cost of C=300+1200x-100x. Find x if the total cost is 3,000
Scilla [17]
C=300+1200x-100x. Find x if the total cost is 3,000
3,000 = 300 + 1200x -100x
3000 = 300 + 1100x
2700 = 1100x
2700÷1100=x
x=27/11
x = 2 5/11 Round to 3
5 0
3 years ago
What is the quotient of 14.2 ÷ 0.28
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This would be 50.71                  
4 0
3 years ago
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Mary invests £120000 in a savings account.the account pays 1.5% compound interest per year work out the value of her investment
iris [78.8K]

Answer:

120,027£

Step-by-step explanation:

A=P(1+r/100)^n

120,000(1+1.5/100)^2

=120,027£

hope it helps

5 0
2 years ago
The length of a basketball court is twice its width. The perimeter is 150 feet. Find the length and width of the basketball cour
lukranit [14]

Answer: W=25 and L=50

Step-by-step explanation: I first started out with 50, because 50 is half of 100. 50 divided by 2 equals twenty five. Now, I moved on to 100. 100 divided by 2 equals 50. 25+25+50+50=150.

8 0
2 years ago
Read 2 more answers
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