The value of x is 3.
Solution:
Length of the top rectangle = x ft
Width of the top rectangle = x ft
Height of the top rectangle = 3x ft
Volume of the top rectangle 

Volume of the top rectangle
cubic feet
Length of the bottom rectangle =
ft
Width of the bottom rectangle =
ft
Height of the bottom rectangle = 0.5 ft
Volume of the bottom rectangle 

Volume of the bottom rectangle
cubic feet
Total concrete for both pieces = 90 cubic feet.
Volume of top + volume of bottom = 90 cubic feet


Solve by factoring.

x = 3, 
Solve using quadratic formula,

Ignore the complex roots.
The value of x is 3.
Answer:
The vertex of the function is 
Step-by-step explanation:
Vertex of a quadratic function:
Suppose we have a quadratic function in the following format:

It's vertex is the point 
In which


Where

If a<0, the vertex is a maximum point, that is, the maximum value happens at
, and it's value is
.
f(x) = x² - X + 2.
Quadratic equation with 
So



The vertex of the function is 
Answer:
The sales of volume V, of a particular product with a net income of $5000 given a sales price of $40, a variable cost of $15?and $1000 in fixed cost is 240
Step-by-step explanation:
Given:
Net income= $5000
sales price= $40
variable cost =$15 and $1000
To Find:
sales of volume V=?
Solution:
We Know that

Where x= number of units sold
Similarily,

Substituting the known values,


Sloving the equation,






Answer:
9.43 ft
Step-by-step explanation:
First, we need to find the area of the entire circle(shaded & unshaded), which is 12.57, with a radius of 2 ft. Next, we find the area of the white area, and NOT the shaded area, which is 3.14, with a radius of 1 ft. Now, we need to subtract the white area(3.14) from the total area(12.57), which is 9.43.
Hope this helps!