Answer:
The correct answer is: p - 8 ∧ restriction p ≠ -4
Step-by-step explanation:
(p² - 4 p - 32) / ( p + 4)
The existence of this rational algebraic expression is possible only if it is:
p + 4 ≠ 0 => Restriction is p ≠ -4
(p² - 4 p - 32) / ( p + 4) = (p² - 8 p + 4 p - 32) / (p + 4) =
= (p (p -8) + 4 (p -8)) / (p + 4)= (p - 8) (p + 4) / ( p +4) = p - 8
God with you!!!
The time at which the cost for the services of the two companies would be in exactly 6 days. If we would compare the two charges, we would see that company A just charges 40 per day while B has a charge of 60, which is a standard fee, and a rate of 30 per day. So if we compute 40 x 6, we will have a total cost now of 240. If we compute 30 x 6, we will have a total cost now of 180 plus 60 which is the standard fee, and we will get 240. So in 6 days, the rates of the two companies would both accumulate to 240.
Answer:
TX: 0.23
LA: 0.24
MS: 0.03
AL: 0.03
FL: 0.47
Step-by-step explanation:
In the figure attached, the map is shown.
Total length of the shoreline: 367 + 397 + 44 + 53 + 770 = 1631 miles
probability of the ship landing in Texas: 367/1631 = 0.23
probability of the ship landing in Louisiana: 397/1631 = 0.24
probability of the ship landing in Mississippi: 44/1631 = 0.03
probability of the ship landing in Alabama: 53/1631 = 0.03
probability of the ship landing in Florida: 770/1631 = 0.47
We let x and y be the number of Hobbies & Recreation and Soliloquies episodes that Steve subscribe. The system of linear equation that best represent the given above is,
x + y = 10
32x + 42y = 340
The values of x and y from the system are 8 and 2, respectively. Thus Steve subscribed to 8 Hobbies & Recreation and to 2 Soliloquies episodes.
5/15 = 1/3
6/15 = 2/5
6/8 = 3/4
2/4 = 1/2
