Solve by using the square root property. Write your answer in simplest radical form.

Mathematics

2 answers:

ELEN [110]3 years ago

7 0

Answer: X = t or minus 4 square root 3 and X= 4 square root 3 Explanation: add 48 on both sides bring down x squared = 48 take the square root on both sides you get X= t or - 4 square root 3 and X=4 square root 3) Animex yw

aleksley [76]3 years ago

5 0

Answer:

x = ±4√3

Step-by-step explanation:

Given: x² = 48, find x. Note that we must take the square root of both sides, and that there are 2 roots (solutions) because this is a second order equation.

√x² = ±√48

48 is not a perfect square, but it does factor into 16 (a perfect square) and 3 (not a perfect square).

Thus, x = ±4√3 (the last answer choice)

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Rasek [7]

The function $g(x)=6(3)^{x}$ represents a reflection of $f(x)=6(\frac{1}{3})^{x}$ across the y-axis ⇒ 3rd answer

Step-by-step explanation:

Let us revise the reflection across the axes

If the function f(x) reflected across the x-axis, then its image is g(x) = - f(x)
If the function f(x) reflected across the y-axis, then its image is g(x) = f(-x)

∵ $f(x)=6(\frac{1}{3})^{x}$

∵ g(x) is the image of f(x) after reflection across the y-axis

- From the rule above reflection across the y-axis changes the sign of x

∴ $g(x)=6(\frac{1}{3})^{-x}$