Answer:
3/1
Step-by-step explanation:
The average rate of change is the distance between y values divided by the distance between x values. We know this as rise/run or slope for linear equations. For non-linear equations, we calculate the average over an interval.
This function has y-values of -1 at x=0 and 5 at x=2.
We add -1+5=6 and divide this by 2-0=2.
6/2=3.
The y-values on average change 3 units for every 1 unit of the x-values.
8.83176088663 is the answer
Answer: yes, she did made an error, a very big mistake.
Step-by-step explanation:
first, we have varieties of ways in which we can use to solve this, the most important thing is to stick to the mathematical rules of solving any equations.
using the most simpler method
-4x + 11 = 6x + 1
collect like ter
-4x -6x = 1 - 11
-10x = -10
divide bothside by -10
-10x/-10 = -10/-10
x=1
secondly, using the method she is intending to use, its more easier to subtract 6x from bothside
-4x + 11 = 6x +1
-6x -6x
_______________
-10x + 11 = 1
-10x = 1-11
-10x = -10
x = 1
or still we can doing it exactly as she did, but it will take us through a long way i.e by adding +6
-4x + 11 = 6x + 1
+6x +6x
_______________
2x +11 = 12x +1
2x-12x = 1-11
-10x=-10
x=1
Answer:

Step-by-step explanation:

Distribute 4(x+2).

Subtract 2x and 8 from both sides.


Divide both sides of the equation by 2.


Answer:
infinite number of solutions
Step-by-step explanation:
x+y=1
3y=-3x+3 ⇒ y=-x+1 ⇒ y+x=1
both equations are the same, so they have infinite number of solutions