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b must be equal to -6 for infinitely many solutions for system of equations
and 
<u>Solution:
</u>
Need to calculate value of b so that given system of equations have an infinite number of solutions

Let us bring the equations in same form for sake of simplicity in comparison

Now we have two equations

Let us first see what is requirement for system of equations have an infinite number of solutions
If
and
are two equation
then the given system of equation has no infinitely many solutions.
In our case,

As for infinitely many solutions 

Hence b must be equal to -6 for infinitely many solutions for system of equations
and
Using the slope-intercept formula, y=mx+b where m is the slope of the line and b being the y-intercept, by direct substitution, the y-intercept can be directly be obtained,
y=mx+b
14.347 = (4.915)(10.088) + b
therefore, the y-intercept, b = -35.236
Answer:
2x+12
Step-by-step explanation:
2x+3(x−2)−3(x−6)
Distribute:
=2x+(3)(x)+(3)(−2)+(−3)(x)+(−3)(−6)
=2x+3x+−6+−3x+18
Combine Like Terms:
=2x+3x+−6+−3x+18
=(2x+3x+−3x)+(−6+18)
=2x+12
Answer:
=2x+12
The average rate of change = 1.59 ≈ 2
The average rate of change can be calculated by
1) The first one =
= 1.5
2 ) the second can also be solved by ; 8 + 2/ 2 = 5
3 ) the third one will be 20 + 6 / 2 = 13
4) 8.5
5) 12.5
To calculate the average rate of change
we will first add all the distance
Adding all the distance we will get the sum = 3 + 8 + 20 + 10 + 10 = 51
The total time = 2 + 6 + 9 +15 = 32
Thus the average rate of change = 51 / 32 = 1.59
To know more about average rate of change you may visit the link which is mentioned below;
brainly.com/question/28744270
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