Complete the work to simplify the algebraic expression 3s2 + 11s − s2 − 4 − 5s + 7. Identify like terms: 3s2 and −s2 11s and −5s −4 and 7 Combine like terms: 3s2 + −s2 = 2s2 11s + −5s = 6s −4 + 7 = 3 Simplified expression:

2s² + 6s + 3

Step-by-step explanation:

Same variable with same exponents are like terms.

3x ,  4y , x² , -5y , 2x , 11x²

In this example, like terms are:

(i) 3x & 2x

(ii) 4y and -5y

(iii) x² and 11x²

3s² + 11s - s² - 4 - 5s + 7

Combine the like terms,

3s² - s² + 11s - 5s - 4 + 7 = 2s² + 6s + 3

1.4

2.3

step-by-step explanation:

the formula for the constant of variation is

y= kx

divide each side by x

y/x =kx/x

y/x =k

we know a and y

1.   y/x = k

4/1 =4

check the other values to make sure they are the same

8/2 = 4   12/3 =4   and 16/4 =4  

the constant of variation is 4

2.   y/x = k

3/1 =3

check the other values to make sure they are the same

6/2 = 3   9/3 =3   and 12/4 =3  

the constant of variation is 3

the 4th choice is the correct one

step-by-step explanation: