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2 years ago

How do I solve this? I have the answer but what is the step-by-step explanation.

Mathematics

2 answers:

Ilya [14]2 years ago

8 0

Answer:

n=-12

Step-by-step explanation:

Okay this isn't to hard first in the equation you must subtract 1 from both sides

So this: -7=1+2/3n

Becomes This: -8=2/3n

Then I divided by 2 on both sides to get:-4=1/3n

Then I multiplied by three to get -12=n

Let me know if you're still confused

velikii [3]2 years ago

5 0

-7 = 1 + 2/3n

Subtract 1 from both sides:

-8 = 2/3n

Multiply both sides by 3:

-24 = 2n

Divide both sides by 2:

N= -12

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2 years ago

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3 years ago

Evaluate 5+\left(-3\right)-65+(−3)−65, plus, left parenthesis, minus, 3, right parenthesis, minus, 6.

Serga [27]

The question is not well-expressed, but it looks like you want to evaluate

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

Answer:

-140

Step-by-step explanation:

First of all, note the following

- Multiplying a negative number by another negative number gives a positive number.

- Multiplying a negative number by a positive number gives a negative number.

- Multiplying a positive number by a positive number gives a positive number.

- Brackets mean multiplication.

5 + (-3) - 65 + (-3) - 65 + (-3) - 6

= 5 - 3 - 65 - 3 - 65 - 3 - 6

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7 0

2 years ago

The function f(x)=-(x-3)^2 +9 can be used to represent the area of a rectangle with the perimeter of 12 units, as a function of

Ivenika [448]

Maximum area of the rectangle is $9cm^{2}$

<u>Explanation:</u>

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Considering the dimensions to be in cm

$f(x) = -(x-3)^{2} +9\\f(x) = -(x^{2} +9 - 6x)+9\\f(x) = -x^{2} +6x\\f'(x) = -2x+6\\-2x+6 = 0\\2x=6\\x=3cm\\\\$

Putting the value of x = 3

$Perimeter = 2(x+b)\\12 = 2(3+b)\\6 = 3+b\\b= 3cm$

$Area of rectangle = x X b\\ = 3 X 3\\ = 9cm^{2}$

Therefore, maximum area of the rectangle is $9cm^{2}$

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