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3 years ago

6

We have f '(x) = 6x2 + 6x − 432, so f ''(x) = 12x+6 correct: your answer is correct. , which equals 0 when

1 answer:

Mila [183]3 years ago

3 0

The derivative of the first derivative given to be, f'(x) = 6x² + 6x - 432 is given to be,
f''(x) = 12x + 6

As asked in the given, the value of the second derivative becomes zero when the value of x is,
f"(x) = 0 = 12x + 6

12x + 6 = 0

Subtract 6 from both sides of the equation such that,
12x = -6

Divide both sides of the equation by 12 giving us an answer of
x = -1/2.

Hence, x = -1/2.

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What is the sum of the first eight terms of a geometric series whose first term is 3 and whose common ratio is .5 ?

ser-zykov [4K]

$\bf \qquad \textit{sum of a finite geometric sequence}
\\ \quad \\
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r=\textit{common ratio}
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\\ \quad \\
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3 years ago

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The perimeter of this rectangle is 24cm. If the length is 8 cm, what is the height?

Gemiola [76]

Answer:

4

Step-by-step explanation:

P = s+s+s+s

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3 years ago

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How many milliliters equal 1942 cm?

stiks02 [169]

1cm³=1mL
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________ = ________
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3 years ago

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The drawing of the building, shown below, has a scale of 1 inch to 30 feet. What is the actual height, in feet, of the building?

andreyandreev [35.5K]

Answer:

Actual height of the building is 37.5 feet

Step-by-step explanation:

Formula to be used to get the actual length of the building,

Scale used = $\frac{\text{Dimension of image (on map)}}{\text{Dimension of actual}}$ = $\frac{1}{30}$

By this formula,

$\frac{1.25}{\text{Actual height}}=\frac{1}{30}$

Actual height of the building = 1.25 × 30

= 37.5 feet

Therefore, actual height of the building will be 37.5 feet.

6 0

3 years ago

Triangle ABC is translated 5 units to the right and 4 units up to create triangle A' B'C'.

kherson [118]

Answer:

74°

Step-by-step explanation:

From the attached figure, translation only affects the length of the sides of the triangle :

From the figure :

We are given ;

A = 80° ; C = 26° ; B =?

Sum of angles in a triangle :

A + B + C = 180°

80° + B + 26° = 180°

106° + B = 180°

B = 180 - 106

B = 74°

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3 years ago