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3 years ago

Describe the transformation that maps the pre-image (^A) to the image (^A).

Mathematics

1 answer:

Vika [28.1K]3 years ago

3 0

Answer:

D. A translation 6 units to the right

Step-by-step explanation:

Triangle A coordinates

(-3,-1)

(0,1)

(-3,-5)

Triangle A' coordinates ( x + 6 )

(3,-1)

(6,1)

(3,-5)

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Answer:

Step-by-step explanation:

b is greater than or equal to 4: 4 ≤ b

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3 years ago

Find the derivative of 9x³ + 4x² + x + 3 at x = 3.

Ilia_Sergeevich [38]

Solution:

268

=============================

$\sf \bold{ \rightarrow } \ y = 9x^3 + 4x^2 + x + 3$

$\sf \bold{ \rightarrow } \ \dfrac{dy}{dx} = \dfrac{d}{dx} ( \ 9x^3 + 4x^2 + x + 3 \ )$

$| | \ \mathrm{ If \ y = x^n , \ then \ \frac{dy}{dx} = nx^{n-1}} \ | |$

$\sf derivative \ of \ constant \ is \ always \ 0 \ || \ \sf\dfrac{d}{dx}\left(a\right)=0 \ ||$

solving step wise

$\sf \bold{ \rightarrow } \ \dfrac{d}{dx} ( 9x^3) + \dfrac{d}{dx}(4x^2) + \dfrac{d}{dx}(x )+ \dfrac{d}{dx}(3 )$

$\sf \bold{ \rightarrow } \ \sf ( 3(9x^{3-1}) +2(4x^{2-1}) + (1)(x^{1-1} )+ 0$

$\sf \rightarrow 27x^2+8x+1+0$

$\sf \rightarrow 27x^2+8x+1$

when x = 3

$\sf \hookrightarrow 27(3)^2+8(3)+1$

$\sf \hookrightarrow 243+24+1$

$\sf \hookrightarrow 268$

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1 year ago

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2 years ago