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3 years ago

(b12)3 The simplified expression is

Mathematics

1 answer:

AlexFokin [52]3 years ago

8 0

Answer:

b^36

Step-by-step explanation:

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Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

AnnZ [28]

Answer:

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

Step-by-step explanation:

We have been given that

$f(x)=x^3-27,g(x)=3x-9$

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes - $a^3-b^3=(a-b)(a^2+ab+b^2)$

$f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)$

And g(x) can be written as

$g(x)=3x-9\\=3(x-3)$

Thus, we have

$(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}$

On cancelling the common factors, we get

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

5 0

2 years ago

Find the volume of the cylinder if the height is 3 mm and the diameter is 40 mm. Leave the answer in terms of it.

KiRa [710]

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Step-by-step explanation:

Height of cylinder = 3mm

Diameter of cylinder = 40mm

Volume of cylinder = ?

The formula used to find Volume of cylinder is:

$Volume = \pi r^2h$

Putting values in the formula:

Since we need radius,

radius = diameter/2

radius = 40/2

radius = 20 mm

So,

$Volume = \pi r^2h\\Volume = 3.14*(20)^2*3\\Volume = 3.14*400*3\\Volume= 3769.91 or \,\,\,Volume\approx 3770\,\,cubic\,\,millimeters$

The Volume of cylinder is 3770 cubic millimeters

But, the correct option is not available in options given.

Keywords: Volume of cylinder

Learn more about Volume of cylinder at:

#learnwithBrainly

6 0

3 years ago

Whats the total area of covered box with a length of 4ft a width oc 3ft and height of 6 ft

hodyreva [135]

The total area of a box is the sum of all the area of the faces it has. It is also called the surface area. The area of one face of a rectangular box is equal to the product of its length and width. So, the total area would be:

SA = 2lw + 2wh + 2lh
SA = 2(4)(3) + 2(3)(6) + 2(4)(6)
SA = 108 ft^2

6 0

2 years ago

Read 2 more answers

A helicopter is hovering 110 feet in the air over a landing pad. If a man sees the helecopter at an angle of elevation of 29°, w

Pavel [41]

See the attached figure to better understand the problem

we know that

tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft

the answer is
the man is 198.45 ft from the helicopter landing pad

3 0

3 years ago

Evaluate 3x+5(y+3) when x is 2 less than the quotient of y and 3, and y=12

myrzilka [38]

Answer:

Step-by-step explanation:

12/3 = 4

4 - 2 = 2

x = 2

using the order of operations, you would first have to do y + 3

y = 12

12 + 3 = 15

the equation simplified is 3 x 2 + 5 x 15

3 x 2 = 6

5 x 15 = 75

75 + 6 = 81

8 0

2 years ago