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

did you get the answer yet?

step-by-step explanation:

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."