Answer:
24
Step-by-step explanation:
Let 12x represent the original number.
One fourth of that number can be represented by 3x, and one third of the number can be represented by 4x.
Create an equation that sets this equal to 38, and solve for x:
12x + 3x + 4x = 38
19x = 38
x = 2
The original number is represented by 12x, so plug in 2 as x:
12(2)
= 24
So, the original number is 24.
Answer:
The function h(x) is increasing on the interval (5, ∞)
Step-by-step explanation:

Since we cannot take a square root of a negative number, the domain of this function is restricted to x ≥ 5
If the domain is restricted to x ≥ 5, then the function is always increasing,
since h(x) ≥ 0
Therefore:
The function h(x) is increasing on the interval (5, ∞)
Answer:
AB=6 Units
Step-by-step explanation:
Given the following lengths of rectangle ABCD and its dilation A'B'C'D' respectively
- A'B' = 15 Units
- B'C' = 9.5 Units
- BC = 3.8 units
We are to determine the length of AB. To do this, we first determine the dilation factor.

Therefore:

Find P (A B) using the additive rule, hope this helps