A larger number is five more than twice a smaller number. Their sum is 90. Find the numbers.

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

the answer is a. 72. but i cant answer with less than 20 characters so here's some random text talking about it.

0.2cm < 1.5cm : 0.2cm > 1.5cm

answer: certain

step-by-step explanation:

the probability of any event is a number which tells the chances that the event will happen or not .

an event that is certain to happen has a probability of 1.

an event that is uncertain to happen has a probability of 0.

therefore, if the the probability of choosing an apple-flavored juice box out of the refrigerator without looking is 1 .