Q. Which expression is equivalent to 0.9+k−0.54k ?0.46k+0.91.36k−0.64k1.9−0.54k
Combine Like Terms: Combine like terms by adding the coefficients of k. We have k and −0.54k which are like terms. To combine them, we add their coefficients: 1 (the coefficient of k when it's not written is 1) and −0.54. Calculation: 1+(−0.54)=0.46
Rewrite Expression: Write the expression with the combined like terms.Now that we have combined the coefficients of k, we rewrite the expression with the new coefficient for k.Expression: 0.9+0.46k
Check Answer Choices: Check the answer choices to see which one matches the expression we found.We are looking for an expression that matches 0.9+0.46k.Checking the answer choices:- 0.46k+0.9 is the same as 0.9+0.46k (since addition is commutative).- 1.36k does not match because the coefficient of k is different.- −0.64k does not match because it does not have the constant term 0.9 and the coefficient of k is incorrect.- 1.9−0.54k does not match because the constant term is different and the coefficient of k is not combined correctly.