Explain what it means to be a solution to a quadratic function

Mathematics

1 answer:

mariarad [96]3 years ago

8 0

Answer:

The "solutions" to the Quadratic Equation are where it is equal to zero. They are also called "roots", or sometimes "zeros" There are usually 2 solutions (as shown in this graph). And there are a few different ways to find the solutions: We can Factor the Quadratic (find what to multiply to make the Quadratic Equation)

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What is the rate of change from x = n to x = 2n?

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Answer:

$\dfrac{-8}{\pi}$

Step-by-step explanation:

The rate of change of the function f(x) from point $x_1$ to point $x_2$ can be calculated using formula

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}$

Given

$x_1=\pi\\ \\x_2=2\pi$

From the graph of the function

$f(x_1)=f(\pi)=4\\ \\f(x_2)=f(2\pi)=-4$

So, the rate of change is

$\dfrac{f(x_2)-f(x_1)}{x_2-x_1}=\dfrac{-4-4}{2\pi -\pi}=\dfrac{-8}{\pi}$

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What irrational number is between 4.47 and 4.48?

shepuryov [24]

Answer: √20 is between 4.47 and 4.48

Step-by-step explanation: Square roots of numbers between perfect squares are irrational numbers. 16 and 25 are squares of 4 and 5, so the irrational number we are looking for must be about halfway between 16 and 25.

$\sqrt{20} =4.472135955$ is more than 4.47 and less than 4.48