Help me please with 1-8
1 answer:
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Answer:
dy/dx = -1/
Step-by-step explanation:
y = 1/x
dy/dx = d/dx(1/x)
=> dy/dx = d/dx()
=> dy/dx = -
=> dy/dx = -1/
Point-slope form: y-y1 = m(x-x1)
Standard form: ax + by = c
Slope-intercept form: y = mx+b
Start by finding the slope. We know it is negative since the line is decreasing. The slope is -4/3.
To create point-slope form, we need to get one point from the graph. Let's use (3,0).
To create slope-intercept form, we need the slope and the y-intercept. The y-intercept is the point where our equation crosses the y-axis. For this equation, it is 4.
To get standard form, solve the equation in terms of C.
Point-slope form: y = -4/3(x-3)
Slope-intercept form: y = -4/3x + 4
Standard form: 4/3x + y = 4
Answer:
6.708
Step-by-step explanation:
- Y varies directly as the square of x (Given)
......(1)
- Y varies inversely as the square root of z (Given)
......(2)
- Combining (1) & (2), we find:
(Where k is constant of proportionality).....(3)
- Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.
- Plugging the value of k in (3), we find:
....(4)
- Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.