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I am Lyosha [343]

2 years ago

7

I need help showing work and explain the reason

1 answer:

dimulka [17.4K]2 years ago

8 0

Answer:

Ok

Step-by-step explanation:

-3x-5=16

at 5 to both sides

-3x=21

divide by -3

x= -7

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G(x)=(5-x)/(2x-1) f(x)= (x+5)/(2x+1) what is g(f(x))

Elina [12.6K]

$\bf \begin{cases}
g(x)=\cfrac{5-x}{2x-1}\\\\
f(x)=\cfrac{x+5}{2x+1}
\end{cases}\qquad g(~~f(x)~~)=\cfrac{5-f(x)}{2[f(x)]+1}
\\\\\\
g(~~f(x)~~)=\cfrac{5-\left(\frac{x+5}{2x+1} \right)}{2\left(\frac{x+5}{2x+1} \right)-1}\implies g(~~f(x)~~)=\cfrac{\frac{5(2x+1)-(x+5)}{2x+1}}{\frac{2x+10}{2x+1}-1}$

$\bf g(~~f(x)~~)=\cfrac{\frac{10x+5-x-5}{2x+1}}{\frac{2x+10-1(2x+1)}{2x+1}}\implies 
g(~~f(x)~~)=\cfrac{\frac{9x}{2x+1}}{\frac{2x+10-2x-1}{2x+1}}
\\\\\\
g(~~f(x)~~)=\cfrac{\frac{9x}{2x+1}}{\frac{9}{2x+1}}\implies g(~~f(x)~~)=\cfrac{\underline{9} x}{\underline{2x+1}}\cdot \cfrac{\underline{2x+1}}{\underline{9}}
\\\\\\
g(~~f(x)~~)=x$

3 0

2 years ago

Which expression represents the same solution as (4) (negative 3 and StartFraction 1 over 8 EndFraction? (4) (negative 3) + (4)

elena-s [515]

Answer:

Option B.

Step-by-step explanation:

The given expression is

$(4)(-3\dfrac{1}{8})$

We need an expression Which represents the same solution as the given expression.

It can be written as

$(4)[-(3+\dfrac{1}{8})]$

$(4)[-3-\dfrac{1}{8}]$

$(4)(-3)+(4)(-\dfrac{1}{8})$

Since $(4)(-3)+(4)(-\dfrac{1}{8})$ is equivalent to given equation, therefore this equation represents the same solution as the given expression.

Hence, option B is correct.

3 0

3 years ago

Read 2 more answers

Which radical expressions are equivalent to the exponential expression below ? Check all that apply . (13 + 8) ^ (1/2) A. (13 +

Fantom [35]

Answer:

$(B)\sqrt{21}\\(C)\sqrt{13+8}$

Step-by-step explanation:

Given the expression $(13 + 8) ^{1/2}$

Using law of indices: $a^{1/2}=\sqrt{a}$

$(13 + 8) ^{1/2}=\sqrt{13+8}$

Also:13+8=21

Therefore:

$(13 + 8) ^{1/2}=21^{1/2}\\=\sqrt{21}$

8 0

3 years ago

Pairs of markings a set distance apart are made on highways so that police can detect drivers exceeding the speed limit. Over a

JulijaS [17]

Answer:

Speed of car is 78 mph which travels the distance in 6 seconds.

Step-by-step explanation:

Given:

Speed of the car R = 52 mph

Time t = 9 seconds

We need to find the speed of a car that travels the given distance in 6 seconds.

Now first we will find the distance traveled by the car in 9 seconds.

Distance can be calculated by multiplying speed and time.

Distance = $Speed \times Time = 52\times9 = 468 miles.$

Hence Total distance travel by car is 468 miles.

Now we will find the speed of a car that travels the given distance in 6 seconds.

Speed can be calculate by dividing Distance by time.

Hence;

Speed = $\frac{Distance}{Time}=\frac{468}{6}= 78 \ mph$

Hence Speed of car is 78 mph which travels the distance in 6 seconds.

6 0

2 years ago

Combine like terms to write a simplified expression: <br><br> 12p + 11 - 5p + 3

liubo4ka [24]

Answer:

7p + 14

Step-by-step explanation:

add 12p and -5p to get 7p

then add 11 and 3 to get 14

your equation will be 7p + 14

7 0

2 years ago

Read 2 more answers