Answer:

Step-by-step explanation:
The given equation is 
We want to rearrange this equation so that, n becomes the independent variable.
This means we must solve form, m which becomes the dependent variable.
We expand the parenthesis to get:

We now subtract 1 from both sides to obtain:

We simplify to obtain:

This can be rewritten as

The solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Given the quadratic function expressed as;
0.02x²+ 0.5x - 4 = 0
Multiply through by 100 to have;
2x² + 50x - 400 = 0
Using the general formula to solve:
x = -50±√2500-4(2)(-400)/2(2)
x = -50±√2500+3200/4
x = -50±75.49/4
x = -31.3 or 6.3
Hence the solution to the quadratic equation by using a numeric approach
are x = 6.3 and x = -31.3
Learn more on quadratic function here: brainly.com/question/25841119
Answer:
y= -4/5x+33/5
Step-by-step explanation:
for questions like these, the slope is always defined as the change in y over the change in x or use the equation m=y2-y1/x2-x1.
x1=7 and y1=1
x2=-3 and y2=9
now plug these numbers in to the equation. m= 9-1 / -3-7 Or m= 8/-10 simplified to m= -4/5
now that we have the slope you can plug it in to the equation y=mx+b and get y= -4/5 + b.
to find b, the y-intercept, you can use either of the two points and the answer will be the same. for this one, I'll use (7,1).
1= -4/5 x 7+b. b= 33/5
HOPE THIS HELPS!!
Using a sample inequality, take 35> ? + 3. Making that ?=x, we have 35 > x+3. Subtracting 3 from both sides, we get 32 > x. Therefore, as long as 32 is greater than x, any value replacing x is fine.
I challenge you to apply this strategy to this problem! Good luck, and feel free to ask with any questions!