Answer:
x = 1/3
There is one solution
Step-by-step explanation:
3x -1= 1-3x
Add 3x to each side
3x+3x -1= 1-3x+3x
6x-1 =1
Add 1 to each ide
6x-1+1 = 1+1
6x =2
Divide each side by 6
6x/6 = 2/6
x = 1/3
There is one solution
5(3)= 15
15/8= 1.875
According to the Order of Operations, multiplication and division should be done left to right. The problem can be rewritten as 5a/8.
Final answer: 1.875
<span>Find the focus and directrix of the parabola with the given equation. Then graph the parabola.
y^=-12x
**
y^2=-12x
This is an equation of a parabola with a horizontal axis of symmetry.
Its standard form: (y-k)^2=4p(x-h), with (h,k) being the (x,y) coordinates of the vertex.
For given equation:
Vertex(0,0)
4p=12
p=3
Focus:(-3,0)
Directrix: x=3
see the graph below as a visual check on the answers:
..
y=±(-12x)^.5</span>
Space in the box = volume
volume = length x width x height
box 1 volume = 15 x 20 x 10 = 3000
box 2 volume = 15 x 20 x 14 = 4200
how much space is left = box 2 - box 1 = 1200 inches
Answer:
It depends on what you are asked to do. See explanation.
Step-by-step explanation:
The height, h metres, of a particle at time, t seconds is given by the function:
h=(14-t)(t-2).
This means that after a given time, we can use this function to find the height of the particle.
For instance after 3 seconds, the height of the particle will be:
This implies that:
So after 3 seconds the height of the particle is 11 meters.
