Answer:
x = $36 , y = $ 838
Step-by-step explanation:
Solution:-
The company makes a profit of $y by selling widgets at a price of $x. The profit model is represented by a parabola ( quadratic ) equation as follows:
We are to determine the profit maximizing selling price ( x ) and the corresponding maximum profit ( y ).
From the properties of a parabola equation of the form:
The vertex ( turning point ) or maximum/minimum point is given as:
The profit maximizing selling price of widgets would be x = $36. To determine the corresponding profit ( y ) we will plug in x = 36 in the given quadratic model as follows:
The maximum profit would be y = $838
Answer:p-9=0
Step-by-step explanation:its right
The first thing we should know is the area of the triangular base.
Triangular base area:
A1 = root (s * (s-a) * (s-b) * (s-c))
Where, s is the semi-meter of the triangle:
s = (a + b + c) / 2
a, b, c: sides of the triangle.
Substituting:
s = (2 + 3 + 4) /2=4.5
A1 = root (4.5 * (4.5-2) * (4.5-3) * (4.5-4))
A1 = 2.90
Then, you must know the area of each rectangle associated with each side of the triangular base.
Rectangle area 1:
Ar1 = (a) * (l)
Ar1 = (2) * (7)
Ar1 = 14
Rectangular area 2:
Ar2 = (b) * (l)
Ar2 = (3) * (7)
Ar2 = 21
Rectangular area 3:
Ar3 = (a) * (l)
Ar3 = (4) * (7)
Ar3 = 28
Finally the surface area is:
A = Ar1 + Ar2 + Ar3 + 2 * A1
A = (14) + (21) + (28) + 2 * (2.90)
A = 68.8 in ^ 2
answer:
<span> the surface area of the box of chocolates is
</span> A = 68.8 in ^ 2
Answer:
f(a) = 1,5
Step-by-step explanation:
-3a + 6b = a + 4b
[+3a] [+3a]
6b = 3a + 4b
[-4b] [-4b]
2b = 3a
[÷2] [÷2]
b = 1,5a
100 because beetles are actually 2/1 inches
