Answer:
The attached figure illustrates the graph.
Step-by-step explanation:
Let
x represents the count of open acres
y depicts the total developed acres
It is established that
corresponds to inequality A
corresponds to inequality B
Keep in mind that
if the open acres, x, is limited to a maximum of 1, then it follows that x must adhere to ≤ 1
The system of equations can be solved by graphing
The solution is found in the shaded area (Note Negative acreage counts are not permissible)
The attached figure serves as a visual representation.
Given:
A quadratic function has a line of symmetry positioned at x = –3.5 with one root located at –9.
To find:
The second root.
Solution:
It is understood that the line of symmetry splits the quadratic function's graph into two identical halves. Hence, both roots are equidistant from this line.
This implies that the line of symmetry passes through the midpoint of the two roots.
Let the other root be denoted as x.

Multiply both sides by 2.

Add 9 to both sides.


Consequently, the other zero of the quadratic function is concluded to be 2.
To determine the slope, subtract the y coordinates from each other and the x coordinates as well. That gives us: 10000 - 4000 over 0 - 15, which simplifies to 6000 over -15. When divided, it results in -400. So, the slope amounts to -400. I hope this aids you!:D
<span>P(black socks): 24/42 or 12/21
P(black socks without replacement): 23/41. Consequently, the chance of randomly selecting 2 black socks, without replacement, from the basket is 12/21×23/41=276/861, equivalent to 32%. Hope this helps!</span>