The zero of a polynomial is the value which, when placed as the variable in the equation, makes the equation equal to zero. In this case, we have the equation
p(x) = x - 4
So the zero would be the value that, when put in the place of <em>x</em>, makes it equal to zero. Since all that's being done on the equation is subtracting four, then all we need to do to make the equation equal to zero is to add that 4 back, since
4 - 4 = 0
And our equation would look like this:
p(x) = (4) - 4
The zero of the polynomial p(x) = x - 4 is where x = 4.
Hope that helped! =)
Answer:
Option C
Step-by-step explanation:
From the graph attached,
Slope of the line passing through two points A and B will be,
m = ![\frac{\text{Rise}}{\text{Run}}](https://tex.z-dn.net/?f=%5Cfrac%7B%5Ctext%7BRise%7D%7D%7B%5Ctext%7BRun%7D%7D)
= ![\frac{12}{8}](https://tex.z-dn.net/?f=%5Cfrac%7B12%7D%7B8%7D)
= ![\frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D)
Triangles having same ratio of Height and base (slope) will lie on the line graphed.
Option A
Slope pf the triangle = ![\frac{44}{21}](https://tex.z-dn.net/?f=%5Cfrac%7B44%7D%7B21%7D)
Slope of the line ≠ Slope of the triangle
Therefore, triangle will not lie on the line.
Option B
Slope of the triangle = ![\frac{36}{12}=\frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B36%7D%7B12%7D%3D%5Cfrac%7B3%7D%7B1%7D)
![\frac{3}{2}\neq \frac{3}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Cneq%20%20%5Cfrac%7B3%7D%7B1%7D)
Triangle will not lie on the line.
Option C
Slope of the triangle = ![\frac{30}{20}= \frac{3}{2}](https://tex.z-dn.net/?f=%5Cfrac%7B30%7D%7B20%7D%3D%20%5Cfrac%7B3%7D%7B2%7D)
Since, slope of the line = slope of the triangle
Triangle will lie on the line.
Option D
Slope of the triangle = ![\frac{52}{26}=\frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B52%7D%7B26%7D%3D%5Cfrac%7B2%7D%7B1%7D)
But ![\frac{3}{2}\neq \frac{2}{1}](https://tex.z-dn.net/?f=%5Cfrac%7B3%7D%7B2%7D%5Cneq%20%5Cfrac%7B2%7D%7B1%7D)
Therefore, triangle will not lie on the given line.
Answer: g = 1
Step-by-step explanation:
-3 + 5 + 6g = 11 - 3g
First, we need to combine like terms
-3 + 5 = 2
2 + 6g = 11 - 3g
Add 3g to each side
2 + 9g = 11
Subtract 2 from each side
9g = 9
Divide each side by 1
g = 1
Answer:
It's definitely C
Step-by-step explanation:
it's c for sure