Answer:
first of all, the graphs are so poorly plotted,even kn computer...
anyways,
since the blue one ending at x=5 on the x axis,
while actual log ends at x=0 this means
X=x-5
and since, log1=0 but it's 5 in blue graph,
the graph is moved up by 5
hence,
y=5+log(x-5)
2x^3 - 2x - 4
3x + 1 6x^4 + 2x^3 - 6x^2 - 14x - 1
6x^4 + 2x^3
-6x^2 - 14x - 1
-6x^2 - 2x
-12x - 1
-12x - 4
3
3x + 1 is not a factor of the dividend because, dividing the dividend with 3x + 1 gives a remainder.
X = smaller number
y = bigger number
y = 3x
x+y = 20
x+3x = 20
4x = 20
x = 5
The smaller number is 5.
Answer:
B is correct.
{tex]G(x)=x^3-x[/tex]
Step-by-step explanation:
We are given a graph of cubic polynomial after shift 1.5 unit right.
Equation of given graph is

For right and left shift, change in x value or horizontal translation.
If we shift "a" unit left then change in x

If we shift "a" unit right then change in x

Here, we need to shift 1.5 unit left to get original function.

Shift 1.5 unit left


Hence, B is correct function.
We will use the segment addition postulate.
PQ + QR = PR
4x - 1 + 3x - 1 = 54
7x - 2 = 54
7x = 56
x = 8
So QR is 3(8) - 1 or 24 - 1 which is 23.