I need help solving this. |x−4| if x>4. You have to write the expression without using the absolute value sign.

We simply drop the absolute value signs and write whatever is inside

This is because |x-4| is really composed of two equations and it depends on what x is

If x < 4, then we use -(x-4) or -x+4

If x >= 4, then we use x-4

This is from the idea that |x| breaks down into this piecewise function

Replace every x with x-4

Then for each inequality, you would solve for x to get the following

which is the same as

the largest number of the four options is 1.8 x 10-2

you have it in scientific notation.

1.80 x 10-6   = 0.00000180

1.80 x 10-4   = 0.000180 (bigger, or "less small", than the former one)

so

1.8 x 10-2       = 0.0180. as you see. the "less small", or the biggest one of them all.

as you have negative exponent, it means you are dividing 1.8 by 100 (i.e. moving the dot towards left, two times).

if you had positive exponent for the scientific notation, power of tenths, you would be multiplying times 100 (moving the dot towards right) as below:

1.8 x (10)2 = 180

so. if you have negative exponent in scientific notation, move the dot toward left. if it is positive, toward right as many times the exponent tells you.

70

step-by-step explanation: