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3 years ago

Show that (38x)^7 = 6^74^7x^7

Mathematics

1 answer:

Sergeeva-Olga [200]3 years ago

4 0

Answer:

24x^7 = 24x^7

Step-by-step explanation:

Left side of equation: 3 times 8 times X = 24x

Then you raise it to the 7th power

Right side of the equation: 6 times 4 times X = 24x

Since the exponent is the same, you keep it as the 7th power

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3 years ago

Write a proof that shows how 45 and 4.5 have a factor of 10

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Step-by-step explanation:

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3 years ago

If f(x) = 7 + 4x and g (x) = StartFraction 1 Over 2 x EndFraction, what is the value of (StartFraction f Over g EndFraction) (5)

Degger [83]

Answer:

$\frac{f}{g}(5)$ = 270 ⇒ Last answer

Step-by-step explanation:

* If f(x) = 7 + 4x

* If g(x) = $\frac{1}{2x}$

* We want to find $\frac{f}{g}(5)$

- Lets find at first $\frac{f}{g}(x)$

∵ f(x) = 7 + 4x

∵ g(x) = $\frac{1}{2x}$

∴ $\frac{f}{g}(x)=\frac{7+4x}{\frac{1}{2x}}$

- Lets divide the numerator by the denominator

∵ The numerator is 7 + 4x

∵ The denominator is $\frac{1}{2x}$

∴ (7 + 4x) ÷ $\frac{1}{2x}$

- Lets reverse the division sign to multiplication sign and reciprocal

the fraction after the division sign

∴ (7 + 4x) × $\frac{2x}{1}$

∴ $\frac{f}{g}(x)$ = 2x(7 + 4x)

∴ $\frac{f}{g}(x)$ = 14x + 8x²

- Now substitute x by 5

∴ $\frac{f}{g}(5)$ = 14(5) + 8(5)² = 70 + 200 = 270

∴ $\frac{f}{g}(5)$ = 270

4 0

3 years ago

Read 2 more answers

If √6 is the geometric mean between 4 and another number, then the number is<br> 1.5<br> 9<br> 24

konstantin123 [22]

Correct answer is A.

g - geometric mean
$g= \sqrt{ab} 
\\
\\g= \sqrt{6} ,a=4,b=?
\\ \sqrt{6}= \sqrt{4b} 
\\ (\sqrt{6})^2= (\sqrt{4b} )^2
\\6=4b
\\
\\b= \frac{6}{4} = \frac{3}{2}=1.5$

4 0

3 years ago

Write an expression that will have a product less than both factors.

anzhelika [568]

$-2 * 3 = -6


-6 \ \textless \ -2 \ \textless \ 3$

6 0

3 years ago

Read 2 more answers

Show that (3*8*x)^7 = 6^7*4^7*x^7

Show that (38x)^7 = 6^74^7x^7