Answer:
To write an equation in slope-intercept form, given a graph of that equation, pick two points on the line and use them to find the slope. This is the value of m in the equation. Next, find the coordinates of the y-intercept--this should be of the form (0, b). The y- coordinate is the value of b in the equation.
Answer:
19
Step-by-step explanation:
Difference between one end point and mid point
= 27 - 23 = 4
Other endpoint = 23 - 4 = 19
Given:
u varies directly with the square of p and inversely with d.
To find:
The equation for the given situation.
Solution:
If y is directly proportional to x, then
If y is inversely proportional to x, then
It is given that u varies directly with the square of p and inversely with d. So,
It can be written as:
Where, k is the constant of proportionality.
Therefore, the required equation is 
.
Answer:
y(x) = 7e^(5x)
Step-by-step explanation:
The question says that the slope of the curve at every point P is five times the y-coordinate of P. This means that
dy/dx = 5y
Refer to solutions of differential equations, dy/dt = ky, being in the form of y(t) = y(0) e^(kt)
Using the above stated law now, we can relate to our equation, saying that
y(x) = y(0) e^(5x)
The point given from the question is, (0, 7). This also means that y(0) = 7. So finally, we can have
y(x) = 7e^(5x)
And that is our needed equation of the curve
Answer:
3 to the power of 4
Step-by-step explanation:
you set the exponent to the amount of times 3 is being multiplied by
