Answer:
42
Step-by-step explanation:
I represents hours and the 42 is listed before it. Meaning every hour, 42 meters is removed
Answer:
-3.8
Step-by-step explanation:
Answer:
12 and 10 and
-12 and - 10
Step-by-step explanation:
Givens
Larger number = x
Smaller number = x - 2
Equation
x*(x - 2) = 120
Solution
Remove the brackets
x^2 - 2x = 120
Subtract 120 from both sides
x^2 - 2x - 120 = 0 Factor
(x - 12)(x + 10) = 0
x - 12 = 0
x - 12 + 12 = 12
the other number is 2 less than this one or x = 10
=================
x + 10 = 0
x = - 10
The number that is 2 less than this one is
x = -10 -2
x = -12
Answer:
Step-by-step explanation:
Using the hint, write a and b in the following prime factorization:
where for i ≠ j.
Then by the formulae for gcd(a,b) and lcm(a,b) we know that:
Note that the expression for all i, since if the minimum is, <em>without loss of generality</em>, , then the maximum must be , and viceversa. Then, it is straightforward to verify that when we multiply gcd(a, b) and lcm(a, b) its prime factorization matches the prime factorization of ab, and so we can see the equaility holds: