Which equation is the same as “f of x equals the quantity one-fourth x plus nine all over ten” a) f(x) = ( 1 4 x + 9) 10 b) f(x) = 1 4 x + 9 10 c) f = x( 1 4 x + 9) 10 d) f = 1 4 x 10 + 9

A) f(x) =(1/4x+9) /10

Also, 1/4x is going to be added to nine before being divided by ten and so it has to be in a bracket with nine. [Thus, (1/4x + 9)]

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.