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anygoal [31]
2 years ago
5

F(x+1)+f(x+2)=2x+3; f(x)=?

Mathematics
1 answer:
Rama09 [41]2 years ago
4 0

Answer:

F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Step-by-step explanation:

1. \mathrm{Subtract\:}f\left(x+2\right)\mathrm{\:from\:both\:sides}\\
F\left(x+1\right)+f\left(x+2\right)-f\left(x+2\right)=2x+3f-f\left(x+2\right)



2. \mathrm{Simplify}\\
F\left(x+1\right)=-xf+f+2x\\


3. \mathrm{Divide\:both\:sides\:by\:}x+1;\quad \:x\ne \:-1\\
\frac{F\left(x+1\right)}{x+1}=-\frac{xf}{x+1}+\frac{f}{x+1}+\frac{2x}{x+1};\quad \:x\ne \:-1

4. \mathrm{Simplify}\\
F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

Final Answer: F=\frac{-xf+f+2x}{x+1};\quad \:x\ne \:-1

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Mr. Johnson currently has a square garden. He wants to redesign his garden and make it into a rectangle with a length that is 5
AlekseyPX

Answer:

Width of the rectangle = 10 feet

Length of the rectangle = 25 feet

Step-by-step explanation:

Perimeter of a rectangle = 2(length + width)

Let

Width of the rectangle = x feet

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Perimeter of the rectangle = 70 feet

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70 = 2{x + (3x - 5)}

70 = 2{x + 3x - 5}

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Divide both sides by 8

x = 80 / 8

= 10

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2 years ago
23rd term: -4,-7,-10,-13
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6 : -19
7 : -22
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23rd term : is -70
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Step-by-step explanation:

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