Let the numbers be x and y. They differ by 46. Then x = y + 46.
Their product is P = xy. Since x = y + 46, P = xy = (y + 46)y, or
P = y^2 + 46y. You could graph this and then identify the coordinates of the vertex, which would give you the minimum value of P.
Or you could differentiate P(y) with respect to y, set the result = to 0, and solve for y:
2y + 46 = 0; y = -23. x = y + 46, or +23.
The vertex of the graph of this parabola represents the minimum value of the product P. It is (23, 46), and 46 is the smallest possible product here.
Answer:
5.3
Step-by-step explanation:
Answer:
11 ft
Step-by-step explanation:
The ring takes circular shape and for a circle, circumference is given by
Where C represent circumference and d is the diameter.
Taking use 3.14 for pi as instructed and substituting 3.5 ft for diameter d then
C=3.14*3.5=10.99 ft
Rounding off, this is approximately 11 ft
Answer: 0
Step-by-step explanation:
Step 1: factor left side of equation
y(5y^2-3y+8)=0
Step 2: set factors to equal zero
y=0 or 5y^2-3y+8=0
y=0
Remember
∛(xy)=(∛x)(∛y)
3rd power
factor inside and group
384=2*2*2*2*2*2*2*3=2^3*2^3*2*3=2^3*2^3*6
∛384=(∛2^3)(∛2^3)(∛6)=(2)(2)(∛6)=4∛6
C
