To find the time in which all the bells ring together, we need to find the LCM of 36,40,48.
Prime factorization of 36=2×2×3×3
Prime factorization of 40=2×2×2×5
Prime factorization of 48=2×2×2×2×3
Hence, LCM of 36,40,48=2×2×2×2×3×3×5=720 seconds.
720seconds=
60
720
minutes=12minutes
Hence, all the bells will ring together after 12 mi
Answer:
Step-by-step explanation:
7. 1/4 of 84 is 21, then 1/3 of that is 7
Answer:
18x+20y≤ 230
Step-by-step explanation:
step one
given data
A black sweatshirt costs $18, and a white sweatshirt costs $20
let x be the number of black and
let y be the number of white sweatshirts
step two:
Also, we are told that the club plans to spend no more than $230
hence the inequality for the situation is
18x+20y≤ 230
The equation of the quartic function is , whose factored form is .
A <em>quartic</em> function is a <em>fourth order</em> polynomial, whose form is presented below:
, (1)
Where:
- - Independent variable.
- - Dependent variable.
Given that such polynomial must be tangent to the x-axis in two place, slope must be zero and by differential calculus we have the following expression for the slope of the tangent line:
(2)
Then, we can construct the following system of linear equations:
(3)
(4)
(5)
(6)
(7)
The solution of the system is: .
The equation of the quartic function is , whose factored form is .
Answer:
Step-by-step explanation: