Four less than the quotient of ten and a number, increased by eight;

evaluate when y = 2

Step-by-step explanation:

Quotient of two numbers means that one number is dividing the other since quotient also means division. If we have quotient of ten and a number, this can be represented as 10/y where y is the unknown number.

If the resulting number is increased by 8, then we will add 8 to the function 10/y to give 10/y + 8 (note that increment means addition)

Finally, four less than the quotient of ten and a number, increased  by eight will give us te difference between the resulting function and 4 i.e (10/y +8)-4

The resulting equation of the statement is  (10/y +8)-4

To evaluate the result when y = 2, we will substitute y = 2 into the resulting function;

f(y) =  (10/y +8)-4

f(2) = (10/2 +8)-4

f(2) = (5+8)-4

f(2) = 13-4

f(2) = 9

Hence the value of the expression when y = 2 is 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.