(^2 - 9)(x^3 + 3)<br> Pls someone answer this for me;(

VikaD [51]

F ` ( x ) =
$\frac{1}{1+ \frac{u ^{2} }{(1+u) ^{2} } } * ( \frac{u}{1+u})`= \\ = \frac{1}{ \frac{(1+u) ^{2}+ u^{2} }{(1+u) ^{2} } } * \frac{(u)`(1+u)-(1+u)` u}{(1+u) ^{2} } = \\ = \frac{(1+u) ^{2} }{(1+u) ^{2}+u ^{2} } * \frac{1+u-u}{(1+u) ^{2} } = \\ = \frac{1}{1+2u+2u ^{2} }$

6 0

3 years ago

A glass paperweight has a composite shape: a square pyramid fitting exacty on top of an 8 centimeter cube. The pyramid has a hei

ArbitrLikvidat [17]

Answer:

Part 1) The volume of the paperweight is $576\ cm^{3}$

Part 2) The total surface area of the paperweight is $400\ cm^{2}$

Step-by-step explanation:

Part 1) what is the volume of the paperweight?

we know that

The volume of the paperweight is equal to the volume of the square pyramid plus the volume of the cube

step 1

Find the volume of the pyramid

The volume of the pyramid is equal to

$V=\frac{1}{3}BH$

where

B is the area of the square base

H is the height of the pyramid

$B=8^{2}=64\ cm^{2}$

$H=3\ cm$

substitute

$V=\frac{1}{3}(64)(3)=64\ cm^{3}$

step 2

Find the volume of the cube

The volume of the cube is equal to

$V=b^{3}$

$V=8^{3}=512\ cm^{3}$

step 3

Find the volume of the paperweight

$64\ cm^{3}+512\ cm^{3}=576\ cm^{3}$

Part 2) what is the total surface area of the paperweight?

we know that

The total surface area of the paperweight is equal to the surface area of 5 faces of the cube plus the lateral area of the pyramid

step 1

Find the surface area of 5 faces of the cube

$SA=5b^{2}$

$SA=5(8^{2})=320\ cm^{2}$

step 2

Find the lateral area of the pyramid

$LA=4[\frac{1}{2}bh]$

$LA=4[\frac{1}{2}(8)(5)]=80\ cm^{2}$

step 3

Find the total surface area of the paperweight

$320\ cm^{2}+80\ cm^{2}=400\ cm^{2}$

8 0

2 years ago

Y=x+2<br> 3x+3y=6<br> solving systems by substitution

motikmotik

Answer:6

Step-by-step explanation:Reorder

2

and

−

x

-

x

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

y

=

6

3

x

+

3

y

=

6

Replace all occurrences of

y

in

3

x

+

3

y

=

6

3

x

+

3

y

=

6

with

−

x

+

2

-

x

+

2

.

y

=

−

x

+

2

y

=

-

x

+

2

3

x

+

3

(

−

x

+

2

)

=

6

3

x

+

3

(

-

x

+

2

)

=

6

Simplify

3

x

+

3

(

−

x

+

2

)

3

x

+

3

(

-

x

+

2

)

.

Tap for more steps...

y

=

−

x

+

2

y

=

-

x

+

2

6

=

6

=

6

Since

6

=

6

=

6

, the equation will always be true.

y

=

−

x

+

2

y

=

-

x

+

2

Always true

Remove any equations from the system that are always true.

y

=

−

x

+

2

6 0

3 years ago

What is the mode of this set of data? 1982 1988 1989 1994 1995 2005

Cerrena [4.2K]

All of the numbers are the mode, so it is
1982, 1988, 1989, 1994, 1995, 2005

8 0

3 years ago

Read 2 more answers

4 divided by 57 please help

Basile [38]

Answer:

0.07017

Step-by-step explanation:

6 0

2 years ago

(^2 - 9)(x^3 + 3) Pls someone answer this for me;(