Answer:
B.
Step-by-step explanation:
2x²(3x³ - 9x +27)
= 6x^5 - 18x³ + 54
<span>a. find the number of units of tacos she must sell to minimise her cost.
</span>to find a minimum we need to find the function derivative and make it equal to zero:
dc/dx = 2x - 40 = 0
2x = 40
x = 20
therefore to minimize the cost, she needs to sell 20 units of tacos
<span>b. find the minimum cost.
</span>that can be done by substituting the previous result, 20 tacos, in the original equation:
<span>C(x) = x^2 - 40x + 610
</span>C(20) = (20)^2 - 40(20) + <span>610
</span>= 400 - 800 + 610
= 210
the minimum cost will be 210 dollars
Answer:
D b = -2E +212
Step-by-step explanation:
The slope is given by -2 for every 1000 ft
The initial value is 212 degrees
We can use
y = mx+b where m is the slope and b is the initial value
y = -2x +212
We are at an elevation of E thousand ft
Replace x with E
y = -2 *E +212
b is the boiling point at this elevation
We replace y with b
b = -2E +212
Answer:
x = 18
Step-by-step explanation:
This is a binomial distribution.
p = 0.71, q = 1 - p = 1 - 0.71 = 0.29, n = 20
P(x ≤ 19) =1 - P(x = 20) = 1- 20C20 x (0.71)^(20 - 20) x (0.29)^20 = 1 - 0.29^20 = 1 - 0 = 1
