Express the volume of each cube as a monomial m It's a cube with 4r^3s help

(X + 4) + ( x + 4 ) + x + x

weeeeeb [17]

Answer: 4x + 8
Simplify the x’s and then the normal value, it’s basically just addition.

4 0

3 years ago

HELP ASAP PLZ i need help ! help me :((

kodGreya [7K]

Answer:

(1) $g[f(x)]=\frac{8x-1}{12x-4}$

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

(3) $x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

Step-by-step explanation:

Given functions f(x) = (4x-1)

are $g(x)=\frac{2x+1}{3x-1}$

(1) $g[f(x)]=\frac{2(4x-1)+1}{3(4x-1)-1}$

$=\frac{8x-2+1}{12x-3-1}$

$=\frac{8x-1}{12x-4}$

(2) for $g^{-1}(x)$ , rewrite the function g(x) in terms of an equation

$y=\frac{2x+1}{3x-1}$

Substitute y in place of x and x in place of y, then solve for y.

$x=\frac{2y+1}{3y-1}$

(3y-1)x = 2y+1

3xy - x = 2y + 1

3xy - 2y = x + 1

y(3x-2) = x + 1

$y=(\frac{x+1}{3x-2} )$

⇒ $g^{-1}(x)=\frac{x+1}{(3x-2)}$

(3) $f[g(x)]=(x-1)$

$f[g(x)]=4[\frac{2x+1}{3x-1}] =(x-1)$

⇒ $\frac{(8x+4)-(3x-1)}{3x-1}=(x-1)$

⇒ $\frac{8x-3x+4+1}{3x-1}=(x-1)$

⇒ $\frac{5x+5}{(3x-1)}=(x-1)$

⇒ $5x+5=(3x-1)(x-1)$

⇒ $5x+5=3x^2-3x-x+1$

⇒ $5x+5=3x^2-4x+1$

⇒ $3x^2-9x-4=0$

⇒ $x=\frac{9\pm\sqrt{(-9)^2-4(-4)\times3} }{2\times3}$

$x=\frac{9\pm\sqrt{81+48} }{6}$

$x=\frac{9\pm\sqrt{129} }{6}$

$x=\frac{9+\sqrt{129} }{6}, \frac{9-\sqrt{129} }{6}$

4 0

3 years ago

alex is traveling by train to a vacation spot that is 810 miles away. The train is traveling at 90 miles per hour, and it has al

Elena L [17]

Answer:

7 hours

Step-by-step explanation:

810 - 180 = 630

630/ 90 = 7

4 0

3 years ago

Read 2 more answers

i need help with 3 (along with 3a-c) i am confused on what to do with the numbers that are in degrees...

iVinArrow [24]

Answer:

The answer to your question is below

Step-by-step explanation:

Let p = $\frac{cos x + siny}{\sqrt{w^{2} - z}}$

x = 36°

y = 18°

w = 29

z = 21.8

- Substitution

p = $\frac{cos 36 - sin 18}{\sqrt{29^{2} - 21.8}}$

- Simplification

p = $\frac{0.809 - 0.309}{\sqrt{841 - 21.8}}$

p = $\frac{0.5}{\sqrt{819.2}}$

p = $\frac{0.5}{28.622}$

a) Result

p = 0.017469281

b) Three significant figures

p = 0.017

c) Scientific notation

p = 1.7 x 10⁻²

a = 1.7 k = -2

7 0

3 years ago

Read 2 more answers

Please help Find the measure of UT 65° 51° 70° 55°

Maslowich

$\huge\boxed{55^\circ}$

First of all, we know that $\angle Q=95^{\circ}$ because of its vertical angle. $\angle Q$ is also equal to $\dfrac{\widehat{RS}+\widehat{UT}}{2}$ because it's an interior angle.

$\begin{aligned}\angle Q&=\frac{\widehat{RS}+\widehat{UT}}{2}\\95^\circ&=\frac{135^\circ+\widehat{UT}}{2}&&\qquad&&\textsf{Substitute in the known values.}\\190^\circ&=135^\circ+\widehat{UT}&&\qquad&&\textsf{Multiply both sides by $2$.}\\55^\circ&=\widehat{UT}&&\qquad&&\textsf{Subtract $135^\circ$ from both sides.}\\\widehat{UT}&=\boxed{55^\circ}&&\qquad&&\textsf{Switch the sides of the equation to show our answer.}\end{aligned}$

8 0

3 years ago