Answer:
y= -x+4 if x<0
y= x+4 if x≥0
Step-by-step explanation:
When writing a piece-wise function, we simply look at the portion of the graph that covers the given domain and derive an equation.
When looking at the part of the graph when x<0, we can derive the equation:
y= -x+4.
For x-values greater than 0, we can get:
y= x+4.
<span>You are given the number 120 that is separated into 2 parts. You are also given that the larger part exceeds three times the smaller by 12. You are asked to find the the size of the smaller part. To solve this, establish an equation. Let us denote x as the size of the smaller part.
It is also said that "l</span>arger part exceeds three times the smaller by 12" and converting it into an equation, we have
<span>3x + 12
And since the sum of two parts is 120, equate 3x + 12 to 120
3x + 12 = 120
3x = 120 - 12
3x = 108
x = 36
</span>
The answer for this question is= 46.5
What is 155 percent of 30 is 46.5.
It's all from the knowledge.
Answer:
y = 1/4x-1
Step-by-step explanation:
The slope intercept form of a line is
y = mx+b
m is the slope and b is the y intercept
but we do not know the slope y know the x intercept
(4,0 )
and the y intercept
( 0,-1)
We can calculate the slope using these points
m = (y2-y1)/ (x2-x1)
= (-1-0)/(0-4)
= -1/-4
= 1/4
Now we can put the slope = 1/4 and the y intercept =-1 into the formula
y = 1/4x-1