Which facts could be applied to simplify this expression? Check all that apply. 5 x + 3 y + (negative x) + 6 z To add like terms, add the coefficients, not the variables. First add 5x + x. The simplified expression is 4 x + 3 y + 6 z. Only combine terms which contain the same variable. The simplified expression is 5 x + 3 y + 6 z

The simplified expression is 4 x + 3 y + 6 z

Step-by-step explanation:

B. Like terms are terms that contain the same variable, raised to the same powers.

C.The simplified expression is 4x + 3y + 6z

D. Only combine terms which contain the same variable.

Step-by-step explanation:

We have to simplify the given expression given (5x + 3y + (-x) + 6z).

We will use the process as given below.

1) We will identify the like terms, we have to add or subtract.

2) Like terms are those, which have the same variable of the same degree.

3) We get the simplified expression by combining the same terms.

5x + 3y + (-x) + 6z = 4x + 3y + 6z

Therefore, Options B, C and D will be the correct options

2 over 5

step-by-step explanation:

the 2: 3 ratio is the length of the ac segment to the cb segment total length. this implies that the ratio between segment ac length and segment ab length is 2: 5. point c is 2/5 from a to b, so the required fraction is 2/5.

, and

for

step-by-step explanation:

we can analyze the pattern at which the terms increase. let us denote , , , so that we can call

note the following:

the pattern: to get the next term value, we just add the next term number (e.g. 1st, 2nd, to the previous term value (term values are the given numbers in the question, 1, 3, 6, 10, 15,

from , to get to , we add

from , to get to , we add

etc.

we need to form a recursive formula, a formula that has the next term as a function of the previous term. so a possible recursive formula can be

, and for