For this case we have the following difference equation:

Applying separable variables we have:

Integrating both sides we have:

applying exponential to both sides:

For y (1) = 1 we have:

Thus, the particular solution is:

Whose domain is all real.
Answer: y = 0.2 * exp ((3/2) x ^ 2) Domain: all real numbers
Answer
y = 0.2x − 7
Step-by-step explanation:
Find the slope first by subtracting (10, -5) and (5, -6) in slope formula, this will equal 1/5 or 0.2
Then find the y-intercept which is the point that crosses the y-axis, in this case -7 is the y-intercept
Finally format in y=mx + b for slope-intercept form
y=0.2x-7
Answer:
y = (3/5)x+26/5 or 5y = 3x+26
Step-by-step explanation:
Applying,
The equation of a line in two point form
(y₂-y₁)/(x₂-x₁) = (y-y₁)/(x-x₁)............... Equation 1
From the question,
Given: y₂ = 7, y₁ = 4, x₂ = 3, x₁ = -2
Substitute these values into equation 1
(7-4)/[3-(-2)] = (y-4)/(x+2)
3/5 = (y-4)/(x+2)
5(y-4) = 3(x+2)
5y-20 = 3x+6
5y = 3x+6+20
5y = 3x+26
y = (3/5)x+26/5
Hence the equation of the line is y = (3/5)x+26/5 or 5y = 3x+26
Answer:
62
if you turn 1/8 and 7 3/4 to decimals they turn into 1/8=0.125 and 7 3/4=7.75 and 7.75/0.125=62