4x + 6 < 3x - 5 is our given inequality
4x < 3x -11 by subtracting 6 on both sides of the inequality sign
x < -11 by subtracting 3x on both sides.
Thus, x < -11 -- choice D -- is the solution.
Answer:
1. F
2. (2,2)
3. points P and E
Step-by-step explanation:
-78
We subtract 1, then 3, then 5, then 7
Then subtract 9,11,13,15,17
-21 -11 = -33
-33 -13 = -46
-46 -15 = -61
-61 -17 = -78
3, 2, -1, -6, -13, -22, -33, -46, -61, -78
The answer is D. y - x = 1
cause they have the same slope
r=d/2. r=17/2. r=8.5
Area= pi r^2. A= 3.14*(8.5)^2
A= 226.87
Dimension
Height =29.01
Breadth=38.70
Printed area is =386 and margins as specified.
For printed area let height be x and breadth be y.
x*y=386 ⇒ y =
Now considering the margins
Height = x+6+6=x+12
Weidth = +8 +8= + 16
Area of poster to be minimised =(x+12)( + 16)
Differentiate above area with respect to x and equate to zero to find extrema.
= 16 -=0
x=17.01
Now plug value of x in height and breadth