Answer: The least common multiple of 4 and 6 is 12 because this is the smallest positive integer that is divisible by both 4 and 6.
Step-by-step explanation:
- The least common multiple of two integers m and n is the least positive integer that is divisible by both m and n.
We are given that :
The first five multiples for the numbers 4 and 6 are shown below.

We can see that from the multiples of 4 and 6 , the least common multiple of 4 and 6 =12 such that 12 is divisible by 4 and 6 .
The range of the equation is 
Explanation:
The given equation is 
We need to determine the range of the equation.
<u>Range:</u>
The range of the function is the set of all dependent y - values for which the function is well defined.
Let us simplify the equation.
Thus, we have;

This can be written as 
Now, we shall determine the range.
Let us interchange the variables x and y.
Thus, we have;

Solving for y, we get;

Applying the log rule, if f(x) = g(x) then
, then, we get;

Simplifying, we get;

Dividing both sides by
, we have;

Subtracting 7 from both sides of the equation, we have;

Dividing both sides by 2, we get;

Let us find the positive values for logs.
Thus, we have,;


The function domain is 
By combining the intervals, the range becomes 
Hence, the range of the equation is 
Answer:
Parabola
Step-by-step explanation:
We are given that a function

The given function is an equation of parabola along y- axis.
General equation of parabola along y- axis with vertex (h,k) is given by


Compare it with given equation then we get
h=5, k=3
Vertex of given parabola =(5,3)
Substitute x=0 then we get

y-intercept of parabola is at (0,28).
-4 is the x-intercept for your equation
Answer:
for the first picture:
1. 1
2. 0.8
3. 0.4
for the second picture:
2,256
srry if i needed to show the steps