Answer:
I think it's .
Why 7/10?
Well, the probability of pulling out a blue marble + pulling out a green marble is also written as
Answer:
(9,3)
Step-by-step explanation:
We have been given an equation of a line and we are asked to find the point that lies on our given line.
Since we know that point-slope form equation of a line is: , where,
m = The slope of the line.
= The coordinates of given point on the line.
Since our given equation is in point-slope form, so x-coordinate of our given point is 9 and y-coordinate of our given point is 3.
Therefore, point (9,3) lies on the line described by our given equation.
Answer:
V = 15.75w² + 10.5w
Step-by-step explanation:
A rectangular prism is the same as a cuboid and the volume of a cuboid is length multiplied by width multiplied by the height.
And we were provided with the following:
Length = 5.25cm
Width is unknown,= w
The height is said to be 2cm longer than 3 times it's width.
The above statement can be mathematically represented as ;
H = 3w + 2
Apply the above into the formula given and we have
5.25 × w × (3w + 2)
Expand the above and we have
V = 5.25w × (3w + 2)
V = 15.75w² + 10.5w
Perimeter = 300
Area = a(w)
Width = w
Perimeter = 300 and width = w ⇒ length = [300 - 2w ]/2 = 150 - w
Area, A = width * length = w(150-w) = 150w -w^2
Roots = w = 0 and w =150
Vertex
w =[0 + 150]/2 = 75
A = 75(150-75) = 75^2 = 5625
(75,5625)
Given that the coefficient of w^2 is negative, the vertex is the maximum of the function or area.
The second coordinate of the vertex (5625) is the maximum area the fence can enclose.
Answer: the maximum area that can be enclosed by the fencing.
Hope this helps!