Response:
Detailed explanation:
The length of the pool is longer than its width by 8 meters.
If we designate L as length and W as width, we can express this as:
L = 8 + W
We also know that the area amounts to 105 m squared.
Note:
Area of a Rectangle = Length x Width
Thus, 105 = (8 + W) x W
To adjust the equation, subtract 105 from both sides:
Answer:
Answer choice C. .
Step-by-step explanation:
The entire question is present in the attached figure.
It is established that
The function f(x) is represented by
,
indicating a parabola that opens upward.
The vertex is situated at the point (0,0).
The function g(x) shares the same parabolic shape.
The vertex of g(x) is located at (-3,1).
Therefore,
The transformation from f(x) to g(x) can be described as:
(0,0) transforms to (-3,1).
(x,y) transforms to (x-3,y+1).
This indicates a shift of 3 units to the left and 1 unit upward.
Thus,
The equation for g(x) in vertex form can be expressed as
.
Answer:
Step-by-step explanation:
The graph can take on three forms as displayed in the figure.
(a) having no intersections
(b) having a single point of intersection (tangency)
(c) having two points of intersection.
Consequently, the maximum number of intersections that these graphs can yield is 2, as illustrated in figure (c).
