Answer:
10 and 12
Step-by-step explanation:
let the consecutive even integers be n and n + 2 , then
n² - 64 = 3(n + 2) ← distribute parenthesis
n² - 64 = 3n + 6 ( subtract 3n + 6 from both sides )
n² - 3n - 70 = 0 ← in standard form
(n - 10)(n + 7) = 0 ← in factored form
Equate each factor to zero and solve for n
n - 10 = 0 ⇒ n = 10
n + 7 = 0 ⇒ n = - 7
Since n must be a positive even integer then n = 10 and n + 2 = 10 + 2 = 12
The 2 numbers are 10 and 12
To get the answer you would subtract 11% from 100%, getting the answer 89%.
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
Answer:
248 with remainder 5
Step-by-step explanation:
thats it
answer:
6
step-by-step explanation:
- for this you would find the volume and then divide by 1/2
v = l x w x h
v = (1)(2)(3/2)
v = 3
3 ÷ 1/2 = 6
- therefore, it will take 6 half cubes to fill up the container