Answer: Y=54x + 60
Step-by-step explanation:
You add both project fees together ( 35 + 25 = 60) then you add together the hourly rates (20 + 34 = 54) and the hourly rate is your slope because it’s per hour and the 60 is your y intercept because it’s paid upfront.
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
I would say the answer is 16. Let me know if you want me to explain :D
Answer:
37
Step-by-step explanation:
This is a right triangle so we can find the lengths by using the Pythagorean theorem
a^2 + b^2 = c^2 where a and b are the legs and c is the hypotenuse
12^2 + 35^2 = c^2
144 +1225 = c^2
1369 = c^2
Take the square root of each side
sqrt(1369) = sqrt(c^2)
37 =c
