Which expressions correctly shows the substitution property?

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)
13 + 3 ÷ 3 = 13 + 1
13 + 3 ÷ 3 = 16 ÷ 3
13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

The correct answers are:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

13 + 3 ÷ 3 = 13 + 1

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

Let's look into them one by one:

13 + 3 ÷ 3 = 1(13 + 3 ÷ 3)

As anything multiplied by one will not have changes in value, this is correct.

13 + 3 ÷ 3 = 13+(3÷3) = 13 + 1

As 3÷3 is 1,this is also correct.

13 + 3 ÷ 3 = 13 + 3 ÷ 3 + 0

As anything plus zero will not have a chnage in value, this is correct.

The incorrect option:

13 + 3 ÷ 3 ≠ 16 ÷ 3

Unless there are brackets indicating addition has to be done first, devision comes before addition hence this is not correct.

Hope it helps!

answer set (b) 0.5, 3/4 80% is in order from least to greatest.  

step-by-step explanation:

in order to compare rational numbers to each other, it is much easier if they are in the same form.   typically, the best form in which to evaluate rational numbers is in decimals.   in order to convert a percent to a decimal, you would divide the given percentage by 100.   you can also accomplish the conversion by moving the decimal point over two places to the left.   for example, the decimal value of 80% is 80/100, or 0.8.   in order to convert a fraction to a decimal, you need to divide the numerator by the denominator.   for example, 3/4 is 0.75.   so, for choice (b) 0.5 3/4 (0.75), 80% (0.8) is the only choice in which the numbers are in order from least to greatest.  

step-by-step explanation:

f(x)=2x^2 -1 

translation is a function transformation that transform the function in a way of translating. by translating the function its graph is moved  up an down. moving the function f(x) 2 units to the left will be the new function g(x) with the equation: g(x)=f(x+2)=2(x+2)^2 -1