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3 years ago

Complete the comparison: 26 < ? A. 13 B. 25 C. 54 D. 26

Mathematics

1 answer:

Gnesinka [82]3 years ago

5 0

C. 54 is the correct answer because it is greater than 26

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The curve with equation y=ax^2+bx has a gradient of 3 at the point (2,-2). Find the values of a and b.

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Answer:

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Step-by-step explanation:

Given

y = ax² + bx

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Differentiate each term with respect to x using the power rule

$\frac{d}{dx}$ (a $x^{n}$ ) = na $x^{n-1}$

$\frac{dy}{dx}$ = 2ax + b, hence

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4a + b = 3 → (1) and substitute x = 2 into y

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b = - 2 - 3 = - 5

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4a = 8 ( divide both sides by 4 )

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