Note: Since the symbols for greatest integer function (GIF) and least integer function (LIF) are not given, I will be using the words GIF and LIF in the solution
GIF x means largest integer less than or equal to x, and LIF x means least integer greater than or equal to x.
We need to determine which expressions are equal
Option 1: GIF 4.9 and LIF 3.1
GIF 4.9 = 3
LIF 3.1 = 4
Hence GIF 4.9 ≠ LIF 3.1
Option 2: GIF 15.2 and GIF 14.8
GIF 15.2 = 15
GIF 14.8 = 14
Hence, GIF 15.2 ≠ GIF 14.8
Option 3: GIF -6 and LIF -6
GIF -6 = -6
LIF -6 = -6
Hence, GIF -6 = LIF -6
Option 4: LIF -3.2 and LIF -2.6
LIF -3.2 = -2
LIF -2.6 = -1
Hence, LIF -3.2 ≠ LIF -2.6
Hence, only in Option C the pair of expressions are equal.
Answer:
x= 3.5
Step-by-step explanation:
Substitute the variable x with what it's equal to, x= 20-y
7(20-y)-8= y
Distribute into the parenthesis.
140-7y-8= y
Subtract common numbers.
(140-8)-7y= y
132-7y= y
Move the constant to the right.
132-7y= y
-132 -132
-7y= y-132
Subtract y to both sides.
-7y= y-132
-y -y
-8y= -132
Divide to both sides by -8
<u>-8y</u>= <u>-132</u>
-8 -8
y= 16.5
Now, add the y value to the equation.
x= 20- (16.5)
x= 3.5
Answer:
About 300 dollars
Step-by-step explanation:
THe best estimate for week one is 300, because 96 rounds to 100, and 100 * 3 equals 300.
The best estimate for week 2 is 600, because 204 rounds to 200, and 200 * 3 equals 600.
600 - 300 = 300, therefore the difference is about 300 dollars.
Hope this helps!
3x-7 = 8x +23
-3x. -3x
-7= 5x+23
-30=5x
X= -6
The answer would be D. Remember time is always on the x axis and the independent variable is always on the y