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Kay [80]
3 years ago
7

What is the solution to the equation 9 –3x ≈ 7 ?

Mathematics
1 answer:
sveticcg [70]3 years ago
3 0

x=0.295 this is the correct answer


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BARSIC [14]

Answer:

x= 0 , \frac{1}{14} , \frac{-1}{12}

Step-by-step explanation:

Given, equation is \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x}. →→→ (1)

Now, by cubing the equation on both sides, we get

( \sqrt[3]{15x-1} + \sqrt[3]{13x+1} )³ = (4\sqrt[3]{x})³

⇒ (15x-1) + (13x+1) + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{15x-1} + \sqrt[3]{13x+1}) = 64 x.

⇒ 28x + 3×\sqrt[3]{15x-1}×\sqrt[3]{13x+1} (4\sqrt[3]{x}) = 64x.        

(since from (1),  \sqrt[3]{15x-1} + \sqrt[3]{13x+1} = 4\sqrt[3]{x})

⇒ 12× \sqrt[3]{15x-1}×\sqrt[3]{13x+1} (\sqrt[3]{x})= 36x.

⇒ 3x = \sqrt[3]{(15x-1)(13+1)(x)}.

Now, once again cubing on both sides, we get

(3x)³ = (\sqrt[3]{(15x-1)(13+1)(x)})³.

⇒ 27x³ = (15x-1)(13x+1)(x).

⇒ 27x³ = 195x³ + 2x² - x

⇒ 168x³ + 2x² - x = 0

⇒ x(168x² + 2x -1) = 0

⇒ by, solving the equation we get ,

x = 0 ; x = \frac{1}{14} ; x = \frac{-1}{12}

therefore, solution is x= 0 , \frac{1}{14} , \frac{-1}{12}

7 0
3 years ago
Simplify 1/9^-3? <br> A. 1/-27 <br> B. 9^3 = 729 <br> C.1/-729 <br> D. 9^-3 = -27
Natali [406]
Exponent rule : a^-b = 1 / (a^b)

1/9 ^-3 =
1 / (1/9^3) =
1 / (1^3) /(9^3) =
1 / (1/729) =
1 * 729/1 =
729

ur answer is B
8 0
2 years ago
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Answers this pls PLS PLS PLS I NEED HELP
raketka [301]
3+4=7
7 x 8=56
There will be 56 airplanes :)Hope this helped!
3 0
2 years ago
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mixas84 [53]

Answer:

48

Step-by-step explanation:

( it might be wrong pls dont report me just let me kno y its wrong )

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Ana es diseñadora
nosotros somos muy delgados
El -es- astronauta

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