Answer: hello your question is incomplete attached below is the complete question
answer :
a) 
( option D )
b) A = 1/2 (6)(3) ( option B )
c) Area of shaded region = 9
Step-by-step explanation:
<u>a) Using integration with respect to x </u>
Area = 
( note a = 10 )
= y^2/2 - 4y |⁷₄ + 10y - y^2/2 |¹⁰₇
= 33/2 - 12 + 30 - 51/2 = 9
hence the best integral from the options attached is option D
= [ 10x - x^2 /2 - x^2/2 - 9x ] ³₀
= 30 - 9/2 - 9/2 - 12 = 9
<u>b) Using Geometry </u>
Area = 1/2 * base * height
= 1/2 * 6 * 3
= 9
Answer:
-2 (filled in circle) to 7 (open circle)
Step-by-step explanation:
for the first equation x must be the equal to or smaller than 6. so -3(-2) equals 6 but anything less than -2, let's say -3(-3), will be BIGGER than six, so -2 including -2 which is a filled in circle.
solving it:
-3(x) 
6
for the second equation x must be smaller than 17. so first you take out + 3 by subtracting it, leaving the equation as 2x<14. 2(7)<14 is NOT true so anything bigger than 7 leaves it as true because 6.98934747483 can still make it true, so anything smaller than 7 which is 7 with a not filled in, or open, circle
solving it:
2x < 14
x < 7
my explanation is all over the place, but hope this helps!!!
