Answer:
Mark is 9 years old.
Step-by-step explanation:
If Mark Bro is 5 years older and combined is 23, then you want to subtract 5 from 23 giving you 18. Now since there is mark and his brother that is 2. So divide 18 by 2 and you get 9. Mark is 9. Add 5 to the other 9 because mark is 9 and we divided by two so one nine still remains you get (14). Now you can check. Marks age plus his brothers 9+14=23.
Equation: mark=m
m = (23-5)/2
m=18/2
m=9
I one is 8x<24 and -8≤2x-4
Hence x <24/8 =3 and -4≤2x: divide by positive 2 to get -2≤x
Hence solution is -2≤x<3
Therefore c is the correct matching for 1.
2) 5x-2>13 or -4x≥8
i.e. 5x>15 or x≤8/(-4) = -2 (since dividing by negative inequality reverses)
Or x>3 or x ≤-2
Hence solution is two regions to the right of 3 excluding 3 and left of -2 including -2.
Graph b is the correct match.
3) -25≤9x+2<20
Subtract 2
-27≤9x<18: Now divide by positive 9
-3≤x<2
Hence graph is the region between -3 and 2 including only -3.
Graph a is correct matching for question 3.
Answer:
The cost of producing 1000 remote controls is $5000.
Step-by-step explanation:
You have to substitute r = 1000 into the expressions :
Step-by-step explanation:
The answer is D.