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3 years ago

Urgent

2 answers:

5 0

To the risk of sounding redundant.

$\bf \begin{cases}
f(x)=\cfrac{2}{x}\\\\
g(x)=\cfrac{2}{x}
\end{cases}
\\\\\\
f(~~g(x)~~)=\cfrac{2}{g(x)}\implies \cfrac{2}{\frac{2}{x}}\implies \cfrac{\quad \frac{2}{1}\quad }{\frac{2}{x}}\implies \cfrac{2}{1}\cdot \cfrac{x}{2}\implies x
\\\\\\
g(~~f(x)~~)=\cfrac{2}{f(x)}\implies \cfrac{2}{\frac{2}{x}}\implies \cfrac{\quad \frac{2}{1}\quad }{\frac{2}{x}}\implies \cfrac{2}{1}\cdot \cfrac{x}{2}\implies x$

choli [55]3 years ago

4 0

Let's find f(g(x)):

f(x) = 2/x. Let's replace the two instances of x with g(x) = 2/x:

2
f( g(x) ) = --------------- = x. Thus, we have shown that f and g are inverses.
(2/x)

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Definition of multiple?

lara31 [8.8K]

Answer:

A number that can be divided by another number without a remainder.

Step-by-step explanation:

Multiples of 8: 8, 16, 24, 32, 40,

8 0

3 years ago

Read 2 more answers

Do both of them please

Neko [114]

Answer:

$ 333

Step-by-step explanation:

a) 33 + m*1 = 33 + m

b) m = 300 miles

33 + m = 33 + 300

= $ 333

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3 years ago

Which sequence below represents an exponential sequence? A) {2, 6, 10, 14, 18,...} B) {3, 5, 9, 16, 24,...} C) {4, 8, 24, 96,...

Flura [38]

Answer:d

Step-by-step explanation:

Clearly from observation option D is the exponential sequence

256,64,16,4 is decreasing exponential function

$\Rightarrow \frac{256}{64}=\frac{4^4}{4^3}=4$

$\Rightarrow \frac{64}{16}=4$

for other option they simply follow an AP

2,6,10,14,18

common difference d=4

7 0

4 years ago

Which shows the dimensions of two rectangular prisms that have volumes of 240 ft3 but different surface areas?

bulgar [2K]

Calculate the volume and surface areas of both rectangular prisms for each option.

A:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(8)(5)(6)=240~ft^3$

$\sf A=2((8)(5)+(6)(5)+(6)(8))$
$\sf A=236~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(5)(6)(8)=240~ft^3$

$\sf A=2((5)(6)+(8)(6)+(8)(5))$
$\sf A=236~ft^2$

This is incorrect, they have the same volume of 240 cubic feet and the same surface areas.

B:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(8)(5)(6)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((8)(5)+(6)(5)+(6)(8))$
$\sf A=236~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(10)(8)(3)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((10)(8)+(3)(8)+(3)(10))$
$\sf A=268~ft^2$

$\boxed{\sf Correct~Answer}$ : Both have the same volume of 240 cubic feet, but different surface areas.

C:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(15)(8)(2)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((15)(8)+(2)(8)+(2)(15))$
$\sf A=332~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(6)(4)(15)=360~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((6)(4)+(15)(4)+(15)(6))$
$\sf A=348~ft^2$

This is incorrect, they have different surface areas, but only Rectangle #1 has a volume of 240 cubic feet.

D:

Rectangular Prism #1
$\sf V=lwh$
$\sf V=(12)(6)(5)=360~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((12)(6)+(5)(6)+(5)(12))$
$\sf A=324~ft^2$

Rectangular Prism #2
$\sf V=lwh$
$\sf V=(8)(10)(3)=240~ft^3$

$\sf A=2(wl+hl+hw)$
$\sf A=2((8)(10)+(3)(10)+(3)(8))$
$\sf A=268~ft^2$

This is incorrect, they both have different surface areas but only Rectangle #2 has a volume of 240 cubic feet.

5 0

4 years ago

On a class trip to the museum, 5/8 of the students saw the dinosaurs and 2/8 of the students saw the jewelry collection. What fr

Elina [12.6K]

The kids at the jewelry collection had more students because over all 5 is bigger than 2.

7 0

3 years ago

*Urgent*

Urgent