2 years ago

Q: Solve by the Extraction of Roots method: - -5x²=-50

Mathematics

1 answer:

My name is Ann [436]2 years ago

7 0

Answer:

$x = \sqrt{10}$

Step-by-step explanation:

$- 5 {x}^{2} = - 50 \\ {x}^{2} = \frac{ - 50}{ - 5} \\ {x}^{2} = 10 \\ x = \sqrt{10}$

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MAVERICK [17]

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Find the domain of the function f(x)=2/3x+3 . The given range is -3,0,5,9. A.1,3,19/3,9 b.-4,-2,4/3,4 c.-9,9/2,,3,9 d.0,9/2,12,1

algol13

Answer:

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Step-by-step explanation:

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3 years ago

What is the numerical coefficient of the a^8*b^2 term in the expansion of ((1/3)a^2 - 3b)^6 ?

zhuklara [117]

In the binomial development, the main problem is calculation of binomial coefficients.

If we want to get term a∧8*b∧2 we see that this is the third member in binomial development (n 2) a∧n-2*b∧2

The given binomial is ((1/3)a∧2 - 3b)∧6, the first element is (1/3)a∧2, the second element is (-3b) and n=6 when we replace this in the formula we get

(6 2) * ((1/3)a∧2)∧(6-2) * (-3b)2 = (6*5)/2 * ((1/3)a∧2)∧4 *9b∧2= 15*(1/81)*9 *(a∧8b∧2) =

= 15*9* a∧8b∧2 = 135*a∧8b∧2

We finally get numerical coefficient 135

Good luck!!!

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3 years ago