Answer:
$340
Step-by-step explanation:
The pool is 5 yards wide by 10 yards long, so adding the deck will make the total area 7 yards wide by 12 yards long, or ...
(7 yd)·(12 yd) = 84 yd^2
The pool itself is ...
(5 yd)·(10 yd) = 50 yd^2
so the area of the deck is ...
84 yd^2 -50 yd^2 = 34 yd^2
Wood for each of those square yards costs $10, so the total cost is ...
($10/yd^2)·(34 yd^2) = $340
It would be -1/2 because the formula to find slope (rate of change) is (y2-y1)/(x2-x1) and in this case it would be (4.5-2)/(-3--2) which simplifies to (2.5)/(-5) which is -1/2
Answer: 599.42 games
To answer this question, you need to calculate the revenue for every game sold first. The calculation would be:
Revenue= sell cost - manufacture cost= $20-$2.65= $17.35/game.
Break even is the point when the game manufacturing cost(equipment cost included) is covered by the revenue you got. Then the calculation would be:
total game cost= revenue per game * number of game sold
$10400= number of game sold * $17.35
number of game sold= 10400/17.35= 599.42 games
Answer:
x = - 2 or x = 5
Step-by-step explanation:
Given
3x² - 9x - 30 = 0 ← in standard form
Divide all terms by 3
x² - 3x - 10 = 0
To factor the quadratic
Consider the factors of the constant term (- 10) which sum to give the coefficient of the x- term (- 3)
The factors are - 5 and + 2, since
- 5 × 2 = - 10 and - 5 + 2 = - 3, thus
x² - 3x - 10 = 0
(x - 5)(x + 2) = 0
Equate each factor to zero and solve for x
x - 5 = 0 ⇒ x = 5
x + 2 = 0 ⇒ x = - 2
