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2 years ago

What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?

Mathematics

1 answer:

blagie [28]2 years ago

3 0

Answer:

1.8 x 10^3

Step-by-step explanation:

(8.1 x 10^8) / (4.5 x 10^5) = 1800

1800 = 1.8 x 10^3

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Answer:

$\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}$

Step-by-step explanation:

We are given the function:

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

Let's find the inverse of g.

Call y=g(x):

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

We need to solve for x. Multiply both sides by x-2 to eliminate denominators:

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

Operate:

$yx-2y=-3+2x-4$

Collect the x's to the left side and the rest to the right side of the equation:

$yx-2x=-3-4+2y$

Factor the left side and operate on the right side:

$x(y-2)=-7+2y$

Solve for x:

$\displaystyle x=\frac{-7+2y}{y-2}$

Interchange variables:

$\displaystyle y=\frac{-7+2x}{x-2}$

Call y as the inverse function:

$\boxed{\displaystyle g^{-1}(x)=\frac{-7+2x}{x-2}}$

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What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?​

What is the quotient of 8.1 x 10^8 and 4.5 x 10^5 expressed in scientific notation?