Find the product of two numbers that have a sum of 268 and a difference of 122

The 2 number's product  = 195 × 73 = 14235

Step-by-step explanation:

Step 1 :

Let x be the first number and y be the second number

Given ,

Sum of the 2 numbers = 268

So x + y = 268  

Difference of the 2 numbers = 122

So x - y = 122

Step 2 :

Adding the 2 equations obtained in step 1 ,

we have

2 x = 390 = > x = 195

x + y = 268  

y = 268 - x = 268 - 195 = 73

y = 73

Product of x and y is 195 × 73 = 14235

Step 3 :

Answer

The 2 number's product  = 195 × 73 = 14235

the answer would be 150 books

step-by-step explanation:

if you divide 300 by 2 you will get 150

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