5x-6<24
on a number line

Here we need to Prove that ,

[tex]\bf\implies \sqrt[ab]{ \frac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \frac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \frac{ {x}^{c} }{ {x}^{a} } } = 1.[/tex]

Lets start with LHS , which is ,

[tex]\bf\implies LHS = \sqrt[ab]{ \dfrac{ {x}^{a} }{ {x}^{b} } } . \sqrt[bc]{ \dfrac{ {x}^{b} }{ {x}^{c} } } . \sqrt[ca]{ \dfrac{ {x}^{c} }{ {x}^{a} } } [/tex]

We know that ,

[tex]\bf\implies \sqrt[n]{k^m }= k^{\frac{m}{n}}[/tex]

• So that ,

[tex]\bf\implies \sqrt[ab]{x^{a-b}} . \sqrt[bc]{x^{b-c}} .\sqrt[ac]{x^{c-a}} \\\\\bf\implies x^{\frac{a-b}{ab}} . x ^{\frac{b-c}{bc}} .x^{\frac{c-a}{ca}} \\\\\bf\implies x^{\frac{ ac - bc + ab - ac + bc - ba }{abc } }\\\\\bf\implies x^{\frac{0}{abc}} \\\\\bf\implies x^0 \\\\\bf\implies 1 = RHS [/tex]

Hence ,

[tex]\implies \boxed{\bf \red{ LHS = RHS }} [/tex]

[tex]\large\underline{\sf{Solution-}}[/tex]

Consider LHS:

[tex]\sf= \sqrt[\sf ab]{\dfrac{\sf x^{a}}{\sf x^{b}}}\cdot \sqrt[\sf bc]{\dfrac{\sf x^{b}}{\sf x^{c}}}\cdot \sqrt[\sf ac]{\dfrac{\sf x^{c}}{\sf x^{a}}}[/tex]

As we know that:

[tex]\sf\red\leadsto\dfrac{x^{a}}{x^{b}}=x^{a-b}[/tex]

We get:

[tex]\sf= \sqrt[\sf ab]{\sf x^{a-b}}\cdot \sqrt[\sf bc]{\sf x^{b-c}}\cdot \sqrt[\sf ac]{\sf x^{c-a}}[/tex]

We can also write it as:

[tex]\sf= x^{\dfrac{a-b}{ab}}\cdot x^{\dfrac{b-c}{bc}}\cdot x^{\dfrac{c-a}{ac}}[/tex]

We know that:

[tex]\sf \red\leadsto x^{a}\cdot x^{b}=x^{a+b}[/tex]

We get:

[tex]\sf= x^{\bigg(\dfrac{a-b}{ab}+\dfrac{b-c}{bc}+\dfrac{c-a}{ac}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{c(a-b)+a(b-c)+b(c-a)}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{ac-bc+ab-ac+bc-ab}{abc}\bigg)}[/tex]

[tex]\sf= x^{\bigg(\dfrac{0}{abc}\bigg)}[/tex]

[tex]\sf= x^{0}[/tex]

[tex]\sf=1[/tex]

[tex]\textsf{= RHS}\\[/tex]

Answer:

The value of the expression is - 9.

Evaluating the expression before simplifying is preferred because you only have to substitute once instead of substituting three times.

Step-by-step explanation:

x = 2

- 8x + 5 - 2x - 4 + 5x

= - 8x - 2x + 5x + 5 - 4

= - 10x + 5x + 1

= - 5x + 1

= - 5 ( 2 ) + 1

= - 10 + 1

= - 9

please mark this answer as brainlist

The value of given expression is 27.

An expression is a combination of terms that are combined by using mathematical operations such as subtraction, addition, multiplication, and division.

The given expression is 6²-(8-4)²+7.

Here, 6²-(8-4)²+7

= 6²-(4)²+7

= 36-16+7

= 20+7

= 27

Therefore, the value of given expression is 27.

To learn more about an expression visit;

https://brainly.com/question/28170201.

#SPJ2

Answer:

1  143 /5000

Step-by-step explanation:

Answer:

Greatest common factor of 280 and 168 is 56

-NULL

Brainliest will be appreciated thank you!

Explanation: the correct answer is C.

Answer:

Multimedia Specialist

Step-by-step explanation:  

Had a question like this before

Answer:

33.176

Step-by-step explanation:

Step-by-step explanation:

z°=180°-25°

z°= 155°

z°=x°=155° (vertically opposite angle).

w°=25°(alternate angle).

y°=z°=155°(alternate angle).

hope this helps you.

Answer:

Step-by-step explanation:

As AB and CD are parallel lines cut by a transversal, we have:

So the measures are:

Answer:

cos(30) = (sqrt(3)/2) * cos(0)    

Step-by-step explanation:

cos(0) = 1

cos(30) = sqrt(3)/2

Thus, we can write that:

cos(30) = (sqrt(3)/2) * cos(0)

Step-by-step explanation:

height is find by Pythagoras theorem.

h=4 .

h²=5²-3² = 16

h=4.

area = bh = 4×10 = 40 units .

hope this helps you.

Answer:

[tex]2 {y}^{7} x - 5 {y}^{5} {x}^{2} - 4{y}^{8} {x}^{3}[/tex]

Answer:

5hg vb

Step-by-step explanation:

,hgbn

Answer:

−120314x − 11

Step-by-step explanation:

Answer:

- 1/4

Step-by-step explanation:

[tex]\frac{1-\sqrt{x} }{x^{2}-1 } = \frac{(1-\sqrt{x})*(1+\sqrt{x} ) }{(x+1)(x-1)(1+\sqrt{x} )} \\= \frac{1-x}{-(1-x)(x+1)(1+\sqrt{x} )} \\= - \frac{1}{(x+1)(1+\sqrt{x} )} \\ \lim_{->1} - \frac{1}{(x+1)(1+\sqrt{x} )} \\ = -\frac{1}{(1+1)(1+\sqrt{1}) } = - 1/4[/tex]

Answer:

no solution

Step-by-step explanation:

2x + 8y = 4

x = -4y - 2

Divide both sides of the first equation by 2.

x + 4y = 2

x = -4y - 2

Substitute -4y - 2 for x in the first equation.

-4y - 2 + 4y = 2

0 - 2 = 2

0 = 4

Since after doing legal steps, we get a false statement, 0 = 4, that means there is no solution.

Answer:

this is a trick question 176 fps is equal to 120 mph

so 120=120

Answer:

40%

Step-by-step explanation:

Answer:

-4

Step-by-step explanation:

The form of a liner equation is y=mx+b.  b is 0 in this example.  So we are left with y=-4x

-4 is the m, the slope.  It is also called the unit rate of change.  It tells us how much y changes for each 1x unit.  

y     x

0    0

-4    1   One unit changes y by -4 :  The unit rate of change.

-8    2

951 4 1404 393

Answer:

  w = 17

Step-by-step explanation:

Altitude SU of isosceles triangle RST bisects base RT. This means ...

  UR = UT

  5w = w+68

  4w = 68 . . . . . subtract w

  w = 17 . . . . . . divide by 4

Answer:

Here are the answers for the whole QC for CA students.

1. C

2. A

3. no

4. c

5. A

Step-by-step explanation:

9514 1404 393

Answer:

  8.25°

Step-by-step explanation:

The increase over 5 hours was ...

  (5 h) × (2.25 °/h) = 11.25°

When that is added to the starting value, the ending value is ...

  -3° +11.25° = 8.25°

The temperature at 3:00 pm was 8.25°.

Answer:

11

Step-by-step explanation:

pls maerk as brainliest

Answer:

15t+9r=2

Step-by-step explanation:

the terms which are the variables are not the same on any part of the equation

Answer:

make a chart and it will be easy for you

Answer:

72 is the correct answer

Answer:

I believe 72 is the correct answer

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Might be C, but I hope it helps