In order to get rid of the fractions, you need to multiply the equation by 12
The key idea here is that
speed of plane in wind = (speed of plane in air) + (speed of wind)
Let be the speed of the plane in still air, and the wind speed. A tailwind blows in the same direction as the plane, so for the first leg of the trip, we have
For the return trip, the wind would blow in the opposite direction:
Solve this system and you'll find and .
Note: Please write "x^2" (not 'x2') to indicate "the square of x."
<span>p(x) = -2x2 + 60x − 2 is a quadratic function whose graph is that of an inverted parabola. The vertex (which here represents the largest p(x) value) can be found using the formula
x = -b / (2a), which comes out to x = -60 / (2*-2) = 15.
The company has to make 15 hundred units to gain maximum profit.
</span>
You break down the equation
4x5000=20,000
4x300=1,200
4x80=320
4x4=16
then you add those numbers all up.
20,000
1,200
320
+ 16
------------
21,536
you can do the same with finding:
4x384
4x5000
In this parallelogram, by definition angles 2 and 3 are alternate interior and have the same measure, and angle 1 and 37degrees have the same measure. So angle 1 = 37. the other angle inside there that's not marked is supplementary with 63, so it measures 180 - 63 = 117. So angle 3, then, by the Triangle angle-sum theorem measures 180 - 37 - 117 = 26. As stated earlier, angles 2 and 3 are the same, so 2 is also 26. And I think we got them all! 1=37, 2 and 3 = 26.