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2 years ago

(2x9y^n)(4x2y10)=8x11y20

1 answer:

5 0

$(2x^9y^n)(4x^2y^{10})=8x^{11}y^{20}\\\\(2\cdot4)(x^9\cdot x^2)(y^n\cdot y^{10})=8x^{11}y^{20}\\\\8x^{9+2}y^{n+10}=8x^{11}y^{20}\\\\8x^{11}y^{n+10}=8x^{11}y^{20}\Rightarrow n+10=20\ \ \ |-10\\\\\boxed{n=10}$

$\text{Used:}\\a^n\cdot a^m=a^{n+m}$

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julsineya [31]

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Step-by-step explanation:

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B) In order to evaluate what $g(f(3)) is$ , let's first investigate what f(3) is using the definition for this function:

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2 years ago

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jok3333 [9.3K]

Answer:

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8. dy/dx = 1/2 x^(-3/2)

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Step-by-step explanation:

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dy/dx = -2(1)

dy/dx = -2

8. y = 4 - x^-1/2

dy/dx = - (-1/2x^ (-1/2-1)

dy/dx = 1/2 x^(-3/2)

10. y = 4/3 pi r^3

dy/dr = 4/3 pi (3r^2)

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2 years ago