The rotation that maps one side to an adjacent side is 360°/6 = 60°. This is the least rotation that plots the regular hexagon to the aforementioned. In the least whole number of these minimum rotations, such as three 60° rotations to make 180°, will retain the hexagon identical.

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Which equation represents exponential decay? * a y=3^x-4 b y=2(4)^x c y=1/2(3)^x d: y=6(1/3)^x

yuradex [85]

The equation which represents exponential decay is y= $6(1/3)^{x}$

Given four equations : 1)y= $3^{x} -4$ , 2) y= $2(4)^{x}$ , 3) y= $3^{x}/2$ , 4) y= $6(1/3)^{x}$ .

Equation is relationship between two or more variables expressed in equal to form. Equations of two variables look like ax+by=c. Exponential equation look like $a^{x}$ .

Decay means when x value increases ,the y value decreases.

We haveto put 3 values for x in the equations to check.

1)y= $3^{x} -4$

put x=0,y=-3

put x=1, y=-1

put x=2, y=5

No,itdoes not represents exponential decay.

2) y=2 $4^{x}$

put x=0,y=2

put x=1, y=8

put x=2, y=32

No,it does not represents exponential decay.

3) y= $3^{x}/2$

put x=0,y=0.5

put x=1, y=1.5

put x=2, y=4.5

No,it does not represents exponential decay.

4)y=6 $(1/3)^{x}$

put x=0,y=6

put x=1, y=2

put x=2, y=0.67

Yes ,it represents exponential decay.

Hence the equation which represents exponential decay is y=6 $(1/3)^{x}$ .

Learn more about equations at brainly.com/question/2972832

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2 years ago