Ur independent variable is ur x values....ur dependent variable is ur y values..so if hrs are on the x axis, then ur independent values are ur hrs (or time)....and ur dependent values are ur distance.
(0,0),(2,50)
slope = (50 - 0) / (2 - 0) = 50/2 = 25
y = mx + b
slope(m) = 25
and since u have point (0,0), ur y int (b) = 0
so ur equation is y = 25x + 0 which is written as y = 25x...which is basically saying that he travels 25 miles per hr
how far will he travel in 24 hrs.....so sub in 24 for x
y = 25(24)
y = 600 miles
in summary : The dependent variable is distance, the equation is y = 25x and the dragonfly will fly 600 miles.
You don't have the graph icon here, so we'll have to graph this parabola without it.
Your parabola is y = -x^2 + 3., which resembles y = a(x-h)^2 + k. We can tell immediately that this parabola opens down and that the vertex is (0,3).
Plot (0,3). Besides being the vertex, this point is also the max. of the function.
Now calculate four more points. Choose four arbitrary x-values, such as {-2, 1, 4, 5} and find the y value for each one. Plot the resulting four points. Draw a smooth curve thru them, remembering (again) that the vertex is at (0,3) and that the parabola opens down.
This is what i got:
-x-20=6x+1
Answer:
15/s
Step-by-step explanation:
15 caps ÷ s = 15/s caps per swimmer
First solve for the trig function 'cot'

Next take the sqrt of both sides (include plus/minus)

Now take reciprocal of both sides, this will change trig function to 'tan'
(cot = 1/tan)

Finally use the unit circle or inverse tan on your calculator to find x.
There will be 4 solutions, one for each quadrant.