275 divided by 5 is 55. 55 is your answer
Answer:
3 (8v+5) (8v-5)
Step-by-step explanation:
192v^2 -75
factor out a 3
3 (64v^2 -25)
now the inside is a difference of squares)
a^2 – b^2 = (a + b)(a – b) where a = 8v and b =5
3 (8v+5) (8v-5)
Answer:
y ≤ -3
closed circle starting from -3 and going to the left.
Step-by-step explanation:
Hello from MrBillDoesMath!
Answer: 500
Discussion:
The idea is to represent p(x) with a squared component...
3 + 4x - 4x^2 =
3 - ( 4x^2 - 4x) =
Add and subtract 1:
(3+1) - (4x^2-4x +1) =
4 - (2x-1)^2
To maximize profit we need to minimize the term (2x-1)^2 as it is always positive (or zero) and subtracts from the number 4. The minimum of (2x -1)^2 occurs when 2x -1 = 0 or x = 1/2. Since x is the number of speakers in thousands, (1/2)x = 500 speakers.
Note: this problem can be more easily addressed in a Calculus course by taking the first derivative of p(x), setting it to zero, and solving for x (which yields x = 1/2 too)
Thank you,
MrB
. x² + 20 = 12x ⇔ x² - 12x + 20 = 0<span>
D = b </span> ² <span> - 4 a c = 64</span>,
. x₁, ₂ = (- b <span>±</span> √D <span>) / ( 2a)</span> = ( <span>12 ±</span>√<span> 64) / 2</span> = ( <span>12 ± 8) / 2</span><span> ,
. x</span>₁<span> </span><span> = 10 , x </span> ₂ = 2
