Graph the following equations in 4 different colors f(x)=2x f(x)=2x+6 f(x)=2x-3 f(x)=2x-5

The given equations are linear functions and represent straight lines.

The first equation F(x) = 2x , represent a straight line passing through the origin.

Now, we plot the rest equation using the transformation of the graph.

Using these properties, the second graph gets shifted upward by 6 units. Hence, it passes through (0,6)

Third graph will shift downward by 3 units. Hence, it passes through the point (0,-3)

Fourth graph will shift downward by 5 units. Hence, it passes through the point (0,-5)

The graph of these functions are shown in the same xy-plane in the attached file.

step-by-step explanation:

given expression is .

now we need to simplify the given expression .

we know that square root is equivalent to the power 1/2. so that means we can take half of the exponents to get the square root of given expression.

expanding that will give a very very large number so let's keep answer in exponent form.

1,407.5 hours

step-by-step explanation:

we first convert all the time to hours and then sum them up.

there are 24 hours in 1 day, in 58 days, there are 24 x 58 = 1,392 hours.

there are 60 minutes in 1 hour, thus, 30 minutes will be equivalent to 30 / 60 = 0.5 hours.

therefore, the number of hours it will take mercury to complete a full rotation is 1,392 + 15 + 0.5 = 1,407.5 hours