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Gwar [14]
3 years ago
6

Write the standard form of the equation for

Mathematics
1 answer:
LekaFEV [45]3 years ago
8 0

Answer:

8x-9y=31

Step-by-step explanation:

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If f(x) = 3x +7, find
malfutka [58]

Answer:

I think your answer will be 21 cause you timeing the 3 by 7

4 0
3 years ago
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If fog(x) = 2x-1/x and g(x) = 5x + 2. Find a. f(x) b. The truth set of g inverse (x) + 3 = gof (x)​
RSB [31]

Answer:

Step-by-step explanation:

Remember:

(fog)(x)= g(f(x))

a)

(fog)(x)=2x-\dfrac{1}{x} =g(f(x))\\\\g(x)=5x+2\\\\Calculate\ g^{-1}(x)\\\\y=5x+2\\\\x=5y+2\ exchanging\ x\ and\ y\\\\y=\dfrac{x-2}{5} \\\\\boxed{g^{-1}(x)=\dfrac{x-2}{5}}\\\\

[(f\ o\ g)\ o\ g^{-1}](x)=[f\ o\ (g\ o \ g^{-1})](x)=f(x)\\\\g^{-1}(g(f(x))=g^{-1}(2x-\dfrac{1}{x} )=\dfrac{2x-\dfrac{1}{x}-2}{5} =\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5}  \\\\\\\boxed{f(x)=\dfrac{2x}{5} -\dfrac{1}{5x}-\dfrac{2}{5} }\\\\

b)

g^{-1}(x)+3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(g(x))\\\\\dfrac{x-2}{5} +3=f(5x+2)\\\\\dfrac{x-2}{5} +3=\dfrac{2(5x+2)}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\\dfrac{x}{5} -\dfrac{2}{5} +\dfrac{15}{5}=\dfrac{10x}{5} +\dfrac{4}{5} -\dfrac{1}{5(5x+2)}-\dfrac{2}{5} \\\\9x-\dfrac{1}{5x+2}=11\\\\x\neq -\dfrac{2}{5} \\\\

45x^2-37x-23=0\\\Delta=37^2+4*23*45=5509\\\\Sol=\{ \dfrac{37-\sqrt{5509} }{90} ,\dfrac{37+\sqrt{5509} }{90} \}

6 0
3 years ago
A jet plane flies at 12 mph. At that speed, how far does it travel in 18 minutes?
Fed [463]
Given that the plane flies at 12mph

⇒ 1 hour = 12 miles

---------------------------------------------------------------------------------------------
Rewrite 1 hour as 60 mins
---------------------------------------------------------------------------------------------
60 mins = 12 miles

---------------------------------------------------------------------------------------------
Find 1 minute
---------------------------------------------------------------------------------------------
1 min = 12 ÷ 60 
1 min = 0.2 miles

---------------------------------------------------------------------------------------------
Find 18 minutes
---------------------------------------------------------------------------------------------
1 min = 0.2 miles
18 mins = 0.2 x 18
18 mins = 3.6 miles

---------------------------------------------------------------------------------------------
Answer: The jet plane traveled 2.6 miles in 18 minutes.
---------------------------------------------------------------------------------------------



5 0
4 years ago
Cuántas aristas tiene un cilindro​
Dominik [7]
Un cilindro tiene dos bordes
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3 years ago
I JUST NEED THE PERIMETER PLEASE HELP ITS DUE IN 10 MINUTES
Airida [17]
18x is the perimeter
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