Answer:
D. –20x + 48
Step-by-step explanation:
–4(5x – 12)
= (-4) (5x) - (-4)(12)
= -20x - (-48)
= -20x + 48
Answer:
83/85 (about 98% chance)
Step-by-step explanation:
1-85 = 85 tickets
24 and 31 = 2 tickets
85-2=83
83/85 = about 98%
192.9 could be one answer.
Answer:
(3x-2)(4x-1)
Step-by-step explanation:
1. take the a and the c value and multiply them together to isolate x^2. it should be x^2 -11 +24.
2. find what multiplies to 24 and adds up to -11. its -8 and -3.
3. factor like normal and get (x-8) (x-3)
4. divide the -8 and -3 in the factors by 12 (the original a value)
-8/12 = -2/3 and -3/12 = -1/4.
5. the denominator gets moved to the x value to get (3x-2)(4x-1)
Answer:
4L +4W +16 square inches
Step-by-step explanation:
The area of the border is the equivalent of that of a rectangle with a width equal to the width of the border, and a length equal to the length of the midline of the border. That length is the perimeter of the rectangle that is L+2 units long and W+2 units wide.
border midline length = 2((L+2) +(W+2)) = 2L +2W +8
Then the border area is ...
border area = (border width)(border length) = (2)(2L +2W +8)
border area = 4L +4W +16 . . . square inches
_____
You can also figure this as the difference between the area of the rectangle with the border and the area of the rectangle inside the border:
border area = total area - canvas area
= (L+4)(W+4) -LW = LW +4L +4W +16 -LW
= 4L +4W +16 . . . . square inches
