Need help thank you !!!

6 11/15

Step-by-step explanation:

So the equation is 6 9/10 - 1/6, you gotta have similar denominators to have an easy subtraction process. So 9/10 - 1/6. Both numbers go into 60. 10×6 so that becomes the new denominator. Now your numerator, the 9 is times 6 because the 10 gets times by 6 so 9 times 6 = 54. You got your first fraction done and you put I back with the whole number so 6 54/60. So 1/6 10 times 6 equals 60 so now 1/60 times the 1 by 10 whatever you do to the bottom you do to the top 1 times 10 is 10 so we got out second fraction 10/60 so now it's 6 54/60 - 10/60, 54 - 10 = 44 so your answer is 6 44/60 but we can simplify so 44 ÷ 2 = 22 and you do it to the bottom 60 ÷ 2 = 30 now we got 22/30 we can divide by 2 again and we get 11/15. Put it back with the whole number and we get 6 11/15

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