The given function f(x)=-15x²+6000 represent a parabola or a quadratic equation.
Where x= time (in seconds) and f(x)= height (in feet).
Domain is the set of values of x at which the function must be defined. But there is no restriction for a quadratic function because it can take any value of x. Hence, domain of all quadratic functions or parabola are always
-∞≤x≤∞ or all real numbers.
So, domain of given function is " all real values of x".
Answer:
x > -2/5
Step-by-step explanation:
To solve this, you need to divide -5 on both sides to isolate x.
-5x < 2
x > -2/5
Because we divided by a negative number, the sign has to change direction.
Answer:
Step-by-step explanation:
Assume the dish opens upwards. The cross-section through the vertex is a parabola. You know three points on the parabola: (0,0), (2,2), and (-2,2). Plug the points into y = ax² + bx + c to get a system of three equations where a=0.5, b=c=0.
Equation of parabola: y = 0.5x²
:::::
Vertex (0,0)
Focal length = 1/(4×0.5) = 0.5
Focus (0,0+0.5) = (0, 0.5)
Directrix y = 0-0.5 = -0.5
:::::
At endpoints of latus rectum, y = 0.5
x = ±√0.5 = ±√2/2
Focal width = 2×√2/2 = √2
:::::
Place antenna at focus, (9,2)
<span>x = length cm
y = width cm
---
y = 3
xy = area
xy = 1035
x*3 = 1035
x = 1035/3
x = 345
so the answer is 345</span>
The answer to this mathematical question would be "0.4x = 4.4". I simply subtracted 1.8x to both sides of the equation (following the subtraction property of equations) and then added 4.4 to both sides of the equation (following the addition property of equations). Thus, we arrive to the answer, 0.4x = 4.4.
