Answer:
a. C = 12x + 110; b. $290
Step-by-step explanation:
a. The polynomial
Let L = cost of flip-flops
and S = cost of sandals
Then
C = L + S
= 40 + 4x + 70 + 8x
= 12x + 110
b. The cost
C = 12 × 15 + 110
= 180 + 110
= $290
The cost of making 15 flip-flops and 15 sandals is $290.
Answer:
-2 1/36 or -2.028
Step-by-step explanation:
tik(tok) slapddaddy
Assume:
Size of sides = x m
Depth of the pool = y m
Therefore, surface area = x^2+4xy =10 m^2
Then, y = (10-x^2)/(4x)
Now,
Volume (V) = x^2*y = x^2*y =x^2(10-x^2)/4x = (10x-x^3)/4 = 1/4(10x-x^3)
For maximum volume, first derivative of volume function is equal to zero.
That is,
dV/dx =0 = 1/4(10-3x^2)
Then,
1/4(10-3x^2) = 0
10-3x^2 = 0
3x^2=10
x= sqrt (10/3) = 1.826 m
And
y= (10-1.826^2)/(4*1.826) = 0.913 m
Therefore,
V= 1.826^2*0.913 = 3.044 m^3
Answer: The discriminant is the part of the quadratic formula underneath the square root symbol: b²-4ac. The discriminant tells us whether there are two solutions, one solution, or no solutions.
