Which of the following systems is equivalent to the given system? 2/3x - y = 2

1 answer:

5 0

Based on the given above, the correct answer would be x-30y=100 and 10y=x-20, the first option.
So how do we know that this is the correct option. So, let us check
0.01x - 0.3y = 1 <<multiply both sides by 100 (since there is 2 decimal places after the decimal point
The result for this would be x - 30y = 100 (So this is correct)
Next,
y = 0.1x -2 << multiply both sides by 10 since there are only 2 decimals places after the decimal point
The result would be 10y = x - 20 (So this is correct)
Hope that answer helps

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Show that the equation x^4/2021 − 2021x^2 − x − 3 = 0 has at least two real roots.

andreev551 [17]

The roots of an equation are simply the x-intercepts of the equation.

See below for the proof that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ has at least two real roots

The equation is given as: $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$

There are several ways to show that an equation has real roots, one of these ways is by using graphs.

See attachment for the graph of $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$

Next, we count the x-intercepts of the graph (i.e. the points where the equation crosses the x-axis)

From the attached graph, we can see that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ crosses the x-axis at approximately -2000 and 2000 between the domain -2500 and 2500

This means that $\mathbf{\frac{x^4}{2021} = 2021x^2 - x - 3 = 0}$ has at least two real roots

Read more about roots of an equation at:

brainly.com/question/12912962