Answer:
Option (A)
Step-by-step explanation:
Option A
Each small segment on the number line measure (0.5) unit.
Red point on the number line is 5 small segment distant from center 0.
So, the position of the point = 0.5 × 5 = 2.5
Since, the point is on the negative side position will be → -2.5
Option B
Position of the point = 0.5 ×3 = 1.5
Option C
Position of the point = 0.5 × 1 = -0.5 (negative sign shows the position of the point on the negative side of the number line)
Option D
Position of the point = 5 × 0.5 = 2.5
Answer:
-1
Step-by-step explanation:
divide both sides by 7 and you will get (n+4)=3
then subtract 4 on both sides and get n is equal to -1
Based on the docx you showed me, the equation for the parabola is
![y = x^2 + 36](https://tex.z-dn.net/?f=y%20%3D%20x%5E2%20%2B%2036)
and you want a table of values for a linear equation that intersects the parabola at (5, 6) and (-2, 34).
If you use these two points to create a line we get the equation:
![y - 6 = \frac{34 - 6}{-2 - 5}(x - 5)](https://tex.z-dn.net/?f=y%20-%206%20%3D%20%5Cfrac%7B34%20-%206%7D%7B-2%20-%205%7D%28x%20-%205%29)
(I just used point slope form)
This can be simplified to:
![y = \frac{40}{-7}x + \frac{242}{7}](https://tex.z-dn.net/?f=y%20%3D%20%5Cfrac%7B40%7D%7B-7%7Dx%20%2B%20%5Cfrac%7B242%7D%7B7%7D)
Now we just need to create a table of points on this line. We already have the points you gave and we can also use the y-intercept:
![(0, \frac{242}{7})](https://tex.z-dn.net/?f=%280%2C%20%5Cfrac%7B242%7D%7B7%7D%29)
and the x-intercept:
![(\frac{121}{20}, 0)](https://tex.z-dn.net/?f=%28%5Cfrac%7B121%7D%7B20%7D%2C%200%29)
.
So our table of value can be:
x | y
______|________
-2 | 34
0 | 242 / 7
5 | 6
121/20 | 0