Answer:
B) 2
Step-by-step explanation:
a translation is moving an object and not changing how its rotated or its size
Answer: Choice C (empty set)
The first thing to do is subtract 7 from both sides
|x| + 7 < 4
|x| + 7 - 7 < 4 - 7
|x| < -3
Recall that absolute value represents distance on a number line. Saying |x| is less than -3 means the distance is smaller than -3, which is impossible. Anything smaller than -3 is also negative. Distance can never be negative.
That leads us to the empty set as the solution. There are no values we can plug into any of the inequalities above, to have them lead to true statements.
Writing the special symbol 
is one way to represent the empty set. Another way is to write curly braces only with nothing inside them like so: { }, so its a set with nothing inside it more or less.
The converted form will be y = x - 6/2 or it could be written as y = x - 3/1
Answer:
a. pants + tax + drink ≤ 60 b. $56.16
Step-by-step explanation:
60-1.5 = 58.5 = money left for pants+tax
58.5/100 = 0.585 = 1%
0.585x 4= $2.34 = highest possible tax
58.5 - 2.34 = $56.16 most
pants + tax + drink ≤ 60
X= -4
Work: 1^x/4^x=256
1^x= 256 * 4^x
In 1^x = In 256 * 4^x
xIn1 = In 256+ In4^x
x*0= xIn 4 + In 2^8
0= xIn 2^2 + 8In 2
x In 2^2 + 8In 2 =0
x* 2In 2 + 8In 2=0
2In 2x + 8In 2=0
2In 2x = -8In 2
x= -8/2
x=-4
