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In-s [12.5K]
3 years ago
9

What is the standard form of this number? 700,000 + 30,000 + 1,000 + 40 + 6

Mathematics
1 answer:
slega [8]3 years ago
7 0

Answer:

731 046

Step-by-step explanation:

put the unit it it's correct value position

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37/50 of a number is what percentage of that number
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74%

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Multiply both the numerator and denominator by 2 so that you will have a number over 100. After doing this you will have 74/100 which is 74%

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The quotient of (x^3+3x^2-4x-12)/(x^2+5x+6)
Elis [28]

Answer: The quotient is (x-2).

Step-by-step explanation:

Since we have given that

f(x)=(x^3+3x^2-4x-12)\\\\and\\\\g(x)=x^2+5x+6\\\\So,\ \frac{\left(x^3+3x^2-4x-12\right)}{\left(x^2+5x+6\right)}

Now, we have to find the quotient of the above expression.

So, here we go:

Factorise\ (x^3+3x^2-4x-12)\\\\=\left(x^3+3x^2\right)+\left(-4x-12\right)\\\\=-4\left(x+3\right)+x^2\left(x+3\right)\\\\=\left(x+3\right)\left(x^2-4\right)

Now, we will divide the above simplest form with g(x):

\frac{\left(x+3\right)\left(x^2-4\right)}{\left(x+2\right)\left(x+3\right)}\\\\=\frac{x^2-4}{x+2}\\\\=\frac{\left(x+2\right)\left(x-2\right)}{x+2}\ using\ (a^2-b^2)=(a+b)(a-b)\\\\=x-2

Hence, the quotient is (x-2).


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Whenever you can invert a function, you have that the graphs of f(x) and its inverse f^{-1}(x) are reflected with respect to the line y=x

So, given any point on the graph of f^{-1}(x), you can simply swap its coordinates to get the correspondent point on the original function f(x)

As an example, all exponential functions pass through the point (0,1), while all the logarithmic functions pass through the point (1,0)

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