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3 years ago

Write and solve an inequality that means a number plus four is greater than or equal to twelve.

Mathematics

2 answers:

tangare [24]3 years ago

5 0

Answer:

The answer is 8

Step-by-step explanation:

because four plus eight equals twelve

Stella [2.4K]3 years ago

4 0

The answer is 8 because four plus eight equals twelve

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What are the coordinates of the turning point for the function f(x) = (x - 1)3 - 3? A. (-1, -3)

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ANSWER

The turning point is

$(1,-3).$

EXPLANATION

The function given to us is

$f(x) = (x - 1) ^{3} - 3$

At turning point,
$f '(x) = 0$

So we need to differentiate the given function and equate it to zero.

We using the chain rule of differentiation, we obtain,
$f '(x) =3 (x - 1) ^{2}$

We equate this to zero to obtain,

$3 (x - 1) ^{2} = 0$

We divide through by 3.

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We solve for x to get,

$x - 1 = 0$

$x = 1$

We substitute this x-value in to the function to obtain the corresponding y-value of the turning point.

$f(1) = (1- 1) ^{3} - 3$

$f(1) = 0 - 3$

$f(1) = - 3$

Therefore the turning point is

$(1,-3)$

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