Answer:
m is less than or equal to -4
Step-by-step explanation:
Remember that you cannot take the log of a negative number, regardless of the base. Also, you can take the logarithm of zero, since no number raised to a power can equal zero (although it come very close).
Therefore, (x+3), the number inside the logarithm, must be greater than zero.
x+3 > 0
x > -3
The domain is x > -3,
or (-3, ∞) in interval notation
Answer:
(A) 49
Explanation:
Given that the fractions are in their simplest form. So below the denominator cannot be a multiple of 3, 4, 5.
Breakdown:
Looking at option A (49), it is not a multiple of 3, 4, 5. So k can be 49.
Option B (50) is a multiple of 5. An even number like 4 so can be simplified.
Option C (51) is a multiple of 3 so can be simplified more. 3/51 = 1/17.
Option D (52) is an even number like 4 so can be simplified. 4/52 = 1/13.
let L = length and let W = width.
Use the equations 2L + 2W = 2750
and L = 5W + 15
Then do the steps as follows -
1. Plug the equation for what L equals into the first equation
2(5W+15) + 2W = 2750
2. Then distribute the 2
10W + 30 + 2W = 2750
3. Then add like terms
12W + 30 = 2750
4. Then subtract 30 from both sides
12W = 2720
5. Divide by 12 on both sides
W = 226.67
6. Then plug that into the second equation
L = 5(226.67) + 15
L = 1148.35 should be the answer
D
If you multiply 3 by 10 and add a zero onto the ten in the question that is 100 in half an hour, all you need to do then is multiply that answer by two to get your answer.
