Answer:
1
Step-by-step explanation:
Hello!
Plug in 2 for x and simplify.
<h3>Evaluate</h3>
We could have also simplified the fraction first. If a fraction has the same number in the numerator and the denominator, then it is always equal to 1, no matter what values of x.
9a - 3(a - 6) = -6...distribute thru the parenthesis
9a - 3a + 18 = -6....subtract 18 from both sides
9a - 3a = -6 - 18 ...combine like terms
6a = - 24...divide both sides by 6
a = -24/6
a = - 4
Answer: a loss of 4 cents
<u>Step-by-step explanation:</u>
The probability of rolling a sum of 2, 3, 4, 5, or 6 is
which earns $2.00
The probability of rolling a sum of 28, 9, 10, 11, or 12 is
which loses $2.00
The probability of rolling a sum of 7 is
which loses $0.25

Answer:
The minimum cost is $9,105
Step-by-step explanation:
<em>To find the minimum cost differentiate the equation of the cost and equate the answer by 0 to find the value of x which gives the minimum cost, then substitute the value of x in the equation of the cost to find it</em>
∵ C(x) = 0.5x² - 130x + 17,555
- Differentiate it with respect to x
∴ C'(x) = (0.5)(2)x - 130(1) + 0
∴ C'(x) = x - 130
Equate C' by 0 to find x
∵ x - 130 = 0
- Add 130 to both sides
∴ x = 130
∴ The minimum cost is at x = 130
Substitute the value of x in C(x) to find the minimum unit cost
∵ C(130) = 0.5(130)² - 130(130) + 17,555
∴ C(130) = 9,105
∵ C(130) is the minimum cost
∴ The minimum cost is $9,105
Answer:
6 (2)^ = 6
6 (2)^2 = 24
a = 24
b = 6
y-intercept: (0,6)
y-intercept =
Step-by-step explanation:
6(2)^x
6 (2)^0 = 6 (a number ^0 = 1, 6 times 1 = 6)
6 (2)^2 = 6 x 4 = 24