Can anyone help me with 2 and 3 (different one)

Mathematics

2 answers:

Aloiza [94]2 years ago

5 0

Fraction would be 30/100 and decinal would be .30 and ratio would be 30/100

babymother [125]2 years ago

5 0

2.) the fraction is 3/10 because there are 100 blocks and 30 of them are filled
Decimal is .3 because it is 30% of 100
The ratio is 3:10

3.) part is 40 because 50% of 80 is 40 and whole is 80 because that’s the full number without the percentage, percentage is 50 because 50% is the percentage you have to get this means it’s 40/80 = 50/100 we know this is correct because they both simplify to 1/2=50%

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Find g^-1(x) <br><br> A<br> B<br> C<br> D

Katyanochek1 [597]

<h2>Answer:</h2>

$a. \ g^{-1}=-1 \pm\sqrt{\frac{3}{x}+1}$

<h2>Step-by-step explanation:</h2>

A function has an inverse function if and only if passes the Horizontal Line Test for Inverse Functions. This test tells us that a function $f$ has an inverse function if and only if there is no any horizontal line that intersects the graph of $f$ at more than one point. So the function is called one-to-one. The graph of $g$ is shown below. As you can see, this function does not pass the Horizontal Line Test, therefore the inverse is not a function. However, let's find $g^-{1}(x)$ :

$g(x)=\frac{3}{x^2+2x} \\ \\ Substitute \ g(x) \ by \ y \\ \\y=\frac{3}{x^2+2x} \\ \\ Interchange \ x \ and \ y: \\ \\ x=\frac{3}{y^2+2y} \\ \\ Solve \ for \ y: \\ \\y^2+2y=\frac{3}{x} \\ \\ Completing \ square \\ \\y^2+2y\mathbf{+ 1}\mathbf{-1}=\frac{3}{x} \\ \\(y+1)^2=\frac{3}{x}+1 \\ \\y+1=\pm\sqrt{\frac{3}{x}+1} \\ \\ y=-1 \pm\sqrt{\frac{3}{x}+1}$