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2 years ago

Solve the equation by expressing each side as a power of the same base and then equating exponents.

Mathematics

2 answers:

pickupchik [31]2 years ago

8 0

Hope it helped you.

alexdok [17]2 years ago

6 0

1/27 = 3^(-3)

3^(3x+6) = 3^(-3)

When bases are the same, all you need to do is set the exponents equal to each other:

3x+6 = -3
3x = -9
x = -3

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Hey ill give brainlist

TEA [102]

Answer:

$2.\:\frac{41}{9}$

Step-by-step explanation:

Recall that $\frac{x}{9}=\lfloor \frac{x}{9} \rfloor + 0.\overline{[x\:\mod9]}$ .

Therefore, $4.\bar{5}=\frac{4\cdot 9 + 5}{9}=\fbox{$2)\:\frac{41}{9}$}$ .

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2 years ago

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Simplify each expression. Use positive exponents. <br> A^4b^-3<br> ab^-2

choli [55]

$\dfrac{a^4b^{-3}}{ab^{-2}}$

$= {a^{4-1}b^{-3+2}}$

$= {a^{3}b^{-1}}$

$= \dfrac{a^3}{b}$

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2 years ago

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What is the inverse function of f(x) = 25x-3?

Harrizon [31]

Answer:

The answer is

Step-by-step explanation:

$f(x) = 25x - 3$

To find the inverse of f(x) , equate f(x) to y

That's

y = f(x)

We have

$y = 25x - 3$

Next interchange the terms that's x becomes y and y becomes x

$x = 25y - 3$

<u>Next solve for y</u>

Move 3 to the other side of the equation

That's

$25y = x + 3$

<u>Divide both sides by 25</u>

$\frac{25y}{25} = \frac{x + 3}{25}$

We have the final answer as

${f}^{ - 1} (x) = \frac{x +3 }{25}$

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2 years ago

Marrrta [24]

Answer:

7.8

Step-by-step explanation:

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2 years ago

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd) =

BabaBlast [244]

Answer:

4c² + 11cd + 5d

Step-by-step explanation:

(–4c2 + 7cd + 8d) + (–3d + 8c2 + 4cd)

-4c² + 7cd + 8d - 3d + 8c² + 4cd (opening bracket)

8c²-4c²+7cd + 4cd + 8d - 3d

= 4c² + 11cd + 5d

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2 years ago

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