Answer:
b
Step-by-step explanation:
Answer:35.4%
Step-by-step explanation:
Its the third or the fourth
Answer: choice D) 20
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Explanation:
Locate 3 on the x axis number line. Draw a vertical line through 3 and this vertical line will cross the parabola at some point P. Mark this point P on the parabola. Then draw a horizontal line from P to the y axis. The horizontal line will land on y = 10. In short, this all shows us that (3,10) is a point on this parabola.
Repeat those steps above, but now for x = 7. You'll see that (7,90) is another point on this parabola.
We need to find the slope of the line through the two points (3,10) and (7,90). The average rate of change from x = 3 to x = 7 is the same as the slope of the line through those two points.
To find the slope, we use the slope formula
m = (y2 - y1)/(x2 - x1)
where (x1,y1) and (x2,y2) are the two points, and m is the slope
In this case,
(x1,y1) = (3,10) and (x2,y2) = (7,90)
further breaking down to
x1=3
y1=10
x2=7
y2=90
So we'll plug those four pieces of info into the equation and simplifying to get...
m = (y2 - y1)/(x2 - x1)
m = (90 - 10)/(7 - 3)
m = 80/4
m = 20
The slope of the line is 20, so therefore, the average rate of change is 20.
Answer:
No solution.
Step-by-step explanation:
I must correct your given equation because it must read like this:
(3/(m+3)) - (m/(3-m)) = (m∧2+9)/(m∧2-9)
Now we can solve it:
First we will transfer the fraction from the right to the left side of the equation.
(3/(m+3)) - (m/(3-m)) - (m∧2+9)/(m∧2-9) = 0
We will change binomial sign (3-m) = - (m-3) and that change sign of the second fraction from - to + , also we will change (m∧2-9) which is difference squared to (m-3)(m+3) and we get:
(3/(m+3)) + (m/(m-3)) - (m∧2+9)/(m-3)(m+3) = 0
The smallest common denominator for this equation is (m+3)(m-3)
when we multiply entire equation with (m+3)(m-3) we get:
3·(m-3) + m·(m+3)-(m∧2+9) = 0 => 3m-9+m∧2+3m-m∧2-9=0 =>
6m-18=0 => 6m=18 => m=18/6 = 3 => m=3
But we have conditions (m+3)(m-3) ≠ 0 => m+3≠0 and m-3≠0 => m≠-3 and m≠3
We conclude that this equation does not have solution.
Good luck!!!
