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Amiraneli [1.4K]
3 years ago
11

A – If P(n,4) = 20 × P(n,2), determine the value of n.

Mathematics
1 answer:
Kaylis [27]3 years ago
4 0

Answer:

P(n,4)÷P(n,2)

= (n-2)(n-3)

20 = 4 × 5 (two consecutive numbers)

(n-2)(n-3)=5×4

n-2=5

n=7

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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
Please help me!!!!!<br>Appreciate it
fredd [130]
I'm working on something like this too.
You want to get the measure of y.

4x - 2y = 10
-4x -4x
------------------
-2y = 4x + 10
----- ---- ----
-2 -2 -2
y = -2/1x + -5
m = -2
b = -5
I think.....
3 0
3 years ago
A fair coin is tossed and a die is rolled. what is the probblloy of the coin being tails and the die landing on a 2
ZanzabumX [31]
The probility of getting a tail is 1 (tail) to 2 total possibilities which will be 1/2. The probility for rolling a "2" is 1 to a total possibility of 6 so the probability of 1/6. Since these are independent events and you want both to happen, you need to multiply the two results which will be 1/2 * 1/6 which equals 1/12.
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3 years ago
Help me figure this out
iren [92.7K]
No, because they will have different opinions and tastes! I hope this helps a ton!
3 0
3 years ago
Myra saved $15 a month for 18 months. She bought a book for $46.50 and a tennis racquet for $129.95. How much does she have left
lara [203]
Myra saved $ 15 per month for 18 months...so she saved (15 * 18) = $ 270.

270 - (46.50 + 129.95) =
270 - 176.45 = 
93.55 <=== what she had left
7 0
3 years ago
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