I have an hour to finish, help a girl out

Mathematics

1 answer:

mr_godi [17]3 years ago

3 0

If you're going to use technology (Brainly) to solve this problem, you might find you get a quicker answer using the technology of your graphing calculator.

It is often convenient to cast the problem in the form f(θ) = 0. You can do that by adding 1 to both sides of the equation.

$4\sqrt{2}\cos{(\theta)}+4=0\\ \cos{(\theta)}+\dfrac{1}{\sqrt{2}}=0\qquad\mbox{divide by $4\sqrt{2}$}\\ \cos{(\theta)}=\dfrac{-\sqrt{2}}{2}\qquad\mbox{subtract $\dfrac{1}{\sqrt{2}}$}\\\\ \theta=\{\dfrac{3\pi}{4},\dfrac{5\pi}{4}\}\qquad\mbox{determine the corresponding angles}$

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If g(x) = 4√x-8 , which statement is true?

Mariana [72]

We have the following function:

$g(x)=4\sqrt{x}-8$

So if we graph this function we will get the Figure below. Thus, let's study both the equation and the graph to get some conclusions. Therefore, we can assure these statements:

First. The function is defined only for $x\geq 0$ as shown in the Figure. This is also true because of $\sqrt{x}$ where $x$ must be greater (or equal) than zero.

Second. The range of the function are the values of $y\geq -8$ .

Third. If $x$ creases then $y$ always creases, too.