Answer:
![\boxed {\boxed {\sf x=2}}](https://tex.z-dn.net/?f=%5Cboxed%20%7B%5Cboxed%20%7B%5Csf%20x%3D2%7D%7D)
Step-by-step explanation:
The axis of symmetry can be calculated using the formula:
![x=\frac{-b}{2a}](https://tex.z-dn.net/?f=x%3D%5Cfrac%7B-b%7D%7B2a%7D)
First we must determine a and b from the quadratic:
. This is in standard form, with the highest power first in descending order.
Standard form is also: ![ax^2+bx+c](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc)
If we compare this to the quadratic given, we can conclude that:
![a= -1 \\b= 4 \\c= -8](https://tex.z-dn.net/?f=a%3D%20-1%20%5C%5Cb%3D%204%20%5C%5Cc%3D%20-8)
Substitute the values for a and b into the formula.
![x= \frac{-(4)}{2(-1)}](https://tex.z-dn.net/?f=x%3D%20%5Cfrac%7B-%284%29%7D%7B2%28-1%29%7D)
Multiply in the denominator.
![x=\frac {-4}{-2}](https://tex.z-dn.net/?f=x%3D%5Cfrac%20%7B-4%7D%7B-2%7D)
Divide.
![x=2](https://tex.z-dn.net/?f=x%3D2)
This can also be determined from the graph. It is the x-coordinate of the vertex or the maximum/minimum. It divides the quadratic into 2 symmetrical halves.
Answer:
C. Yes, because the ratios are equivalent between each pair of values.
Step-by-step explanation:
A relationship between two quantities is proportional if the ratio of the two quantities are the same for all the given possible pairs of values.
In the table given, the ratio of block to mins in the first given pair of values is 3/6 = 3/6 = ½.
In the second given pair, it is 7 to 14 = 7/14 = ½. The same ratio is gotten for the others as well.
Therefore, the table represents a proportional relationship.
The answer is: "C. Yes, because the ratios are equivalent between each pair of values."
Answer:
yes
Step-by-step explanation:
7 groups 6 groups of 4 and 1 group of five.
Step-by-step explanation:
I took 29 dots and split them up into 6 groups and had a remander or 5.