the complete question is
Find two numbers whose difference is 46 and whose product is a minimum
Let
x------->larger number
y-------> smaller number
P-------> product of the two numbers
we know that
-----> equation 1
-----> equation 2
substitute equation 1 in equation 2
![P=x*[x-46]\\ P=x^{2} -46x](https://tex.z-dn.net/?f=%20P%3Dx%2A%5Bx-46%5D%5C%5C%20P%3Dx%5E%7B2%7D%20-46x%20)
using a graph tool
see the attached figure
Find the value of x for that the product P is a minimum
the vertex is the point 
that means, for 
the product is a minimum 
find the value of y
therefore
the answer is
the numbers are 
and 
Answer:
58 square feet
Step-by-step explanation:
The room is already broken down into two smaller rectangles.
The smaller of the two measures 4 ft by 2 ft. 
, so substitute 4 for 
and 2 for 
.
(smaller rectangle) 
, or 
.
(smaller rectangle) 
The larger measures 10 ft by 5 ft, so using the same method, multiply times .
(larger rectangle) 
, or 
.
(larger rectangle) 
Add the two rectangles' areas together to find the total area of the room.
8 + 50 = 58
Answer:
B) B(2,-3) and C(-2,3)
Step-by-step explanation:
The given point A, has coordinates (-2,-3).
When point A(-2,-3) is reflected over the y-axis to obtain point B, then the coordinates of B is obtained by negating the x-coordinate of A.
Therefore B will have coordinates (2,-3).
When point A(-2,-3) is reflected over the x-axis to obtain point C, then the coordinates of C is obtained by negating the y-coordinate of A.
Hence the coordinates of C are (-2,3)
A goes between -1 and -1/2
1/4 = 0.25
5/8 = 0.625
20% = 0.20
So now we have: 0.20 < 0.25 < 0.3 < 0.625 < 0.85
So the solution is 20%, 1/4, 0.3, 5/8, 0.85
