Answer:
Rate of Change is 1
Step-by-step explanation:
The Average rate of change is the ratio of change in y and the change in x
Hence
Avg Rate of Change = Change in y / Change in x
The two coordinates are
(-4,0) and (0,4)
Change in x = 0-(-4) = 4
Change in y = 4-0 = 4
Hence
Avg Rate of Change = 4/4
= 1
Answer = 1
According to your text first equation is
y = 3x+2
second equation is
y = Ix-1I + 1
Definition of our absolute value Ix-1I is
1) we take x-1 with condition x-1≥0 => x≥1
2) we take -(x-1) = -x+1 with x<1
Let's form the first system with condition x≥1
y= 3x+2 and y=x-1+1=> y=x
If the left sides of the equations are equal, than the right sides are equal too
3x+2=x => 3x-x=-2 => 2x=-2 => x=-1
This solution we can't accept because it does not meet the condition
x≥1
Lets's form the second system with condition x<1
y=3x+2 and y= -x+1+1 =. y = -x+2
In the same way as previous the right sides are equal =>
3x+2=-x+2 => 3x+x = +2-2 => 4x=0 => x=0
We accept this solution bacause its meet with condition x<1
When we replace this solution in equation y=3x+2 we got
y=3*0+2=2 Only one solution is (x,y) = (0,2)
Good luck !!!!!
Answer:
A. The increase in the number of pounds a boy gains each year.
Step-by-step explanation:
A medical student is conducting a study to track boys’ weight from age 5 to age 18. The student graphs some data and determines the line of best fit is
y = 1.73x + 80.13 ............ (1)
where x represents the age of the boys and y represents the weight of the boy corresponding to his age.
Therefore, the slope of the equation (1) represents the increase in the number of pounds a boy gains each year. (Answer)
C = 2 pi r
C = 2(13) pi
C = 26 pi
Answer:
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Step-by-step explanation: