What are the one-sided limits of g(x) around the vertical asymptote x = –1? Limit of g (x) as x approaches negative 1 minus = infinity and limit of g (x) as x approaches negative 1 plus = infinity Limit of g (x) as x approaches negative 1 minus = infinity and limit of g (x) as x approaches negative 1 plus = negative infinity Limit of g (x) as x approaches negative 1 minus = negative infinity and limit of g (x) as x approaches negative 1 plus = infinity Limit of g (x) as x approaches negative 1 minus = negative infinity and limit of g (x) as x approaches negative 1 plus = negative infinity ANSWER: C

98%

step-by-step explanation:

region b will make the inequalities y < 2x + 1 and y > -x - 2 true ⇒ answer a

step-by-step explanation:

* lets study the graph and the inequality to solve the question

- the inequality y > -x - 2

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = -2 that means the line intersect the y-axis at point (0 , -2)

∵ the sign of the inequality is >

∴ we shad the part over the line

  region a and b

- the inequality y < 2x + 1

∵ the form of the inequality is y > mx + c , m is the slope of the line

  and c is the y-intercept (the line intersect y-axis at point (0 , c)

∴ c = 1 that means the line intersect the y-axis at point (0 , 1)

∵ the sign of the inequality is <

∴ we shad the part under the line

  region b and c

∵ the common region between the two lines is region b

∴ region b will make the inequalities y < 2x + 1 and y > -x - 2 true

we need to divide the number of toy dinosaurs, 156, by the number of brothers, 4:

in order to estimate, we can use compatible numbers:

156 ÷ 4

  ↓

160   ÷ 4 = 40        

the correct answer is a).