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3 years ago

What is the contrapositive of the statement if 4x = 12,then x= 3

1 answer:

6 0

You reverse the conclusion and the hypothesis.

Hypothesis= If

Conclusion= then

And then, you flip what it is saying to be the opposite.

Converse:

If x=3, then 4x= 12.

Contrapositive:

If x isn't 3, then 4x does not equal 12.

I hope this helps!

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The line L is a tangent to the curve with equation y= 4x^2 +1 . The line L cuts the y axis at (0,8) and has a positive gradient.

sergeinik [125]

A generic point on the graph of the curve has coordinates

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Let k be a generic x-coordinate. The tangent line to the curve at this point will pass through $(k, 4k^2+1)$ and have slope $8k$

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In this case, $(x_0, y_0)=(k, 4k^2+1)$ and $m=8k$ , so the equation becomes

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We can rewrite the equation as follows:

$y-4k^2-1 = 8k(x-k) \iff y = 8kx - 8k^2+4k^2+1 \iff y = 8kx-4k^2+1$

We know that this function must give 0 when evaluated at x=0:

$f(x) = 8kx-4k^2+1 \implies f(0) = -4k^2+1 = 8 \iff -4k^2 = 7 \iff k^2 = -\dfrac{7}{4}$

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3 years ago

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dezoksy [38]

Answer: 9;0;-3

Step-by-step explanation:

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2 years ago

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Step-by-step explanation:

DO IT URSELF

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2 years ago

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