all 3 dots on the line are located at Y 2, which make the line horizontal.
The slope of a horizontal line is always 0
Answer:
The second answer.
Step-by-step explanation:
Tim is correct. Absolute value is just the distance away from 0. In this case, both P and Q are 3/8 away from zero, even though they have opposite signs. In fact, opposites signs of the same number will always have the same absolute value because they are the same distance from 0.
So, it is the second one.
Hope this helps!
Answer:
The equation to represent g(x) will be 
Step-by-step explanation:
Considering the logarithmic function

As we know that when a constant c gets added to the parent function, the result would be a vertical shift c units in the direction of the sign of c.
So,
is basically the shift up by 4 units, and the graph also showing the same situation.
Therefore, the equation to represent g(x) will be 
Also, the graphs of both
and
is attached where black mark graph represents
and red mark graph represents
.
Keywords: transformation, vertical shift, graph
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Answer:
C. -3
Step-by-step explanation:
Given
Inequality; -5 < x < 0
Required:
A possible value of x
First, the inequality needs to be interpreted
The inequality reads.
-5 < x < 0
This means -5 is less than x and x is also less than 0
In other words, x is greater than -5 and x is less than 0.
With the illustration above, x starts from-4 and ends at -1, i.e. the range of x can be said to be -4 to -1
Possible Values of x: -4,-3,-2,-1
From. Option A through D, only -3 which is option C can be seen in this range.
Hence, -3 is a possible value