We observe that
the vertex of f(x) is located at the point (0,0)
and
the vertex of g(x) is situated at (0,5)
thus,
(x,y) in f(x) becomes -------> (x,y+5) in g(x)
g(x)---------> f(x)+5
g(x)=x²+5
the answer is
g(x)=x²+5
Events A and B are termed independent when
if not, events A and B are classified as dependent.
The events A, B and A∩B are:
- A - Jane plans to attend a ballgame on Monday;
- B - Kate intends to go to a ballgame on Monday;
- A∩B - Both Kate and Jane will be at the ballgame on Monday.
Answer: events A and B are dependent
A slope of 5/2 signifies that moving 2 units horizontally results in moving 5 units vertically. To visualize this, from any point on the line, shift 2 units right, and from there, move upwards until you intersect the line again. If the vertical movement is 5 units, the slope is confirmed to be 5/2. Option A indicates a slope of 5/2, B specifies a slope of 4/2, while C affirms the slope of 5/2. I can't clearly see the graphs represented in images D and E; however, E might have a slope of 5/2, which should be measured, and D clearly does not match the slope of 5/2, as it can be compared with A, demonstrating a significant difference, thus it can be eliminated.
Jacob's lunch account will deplete in 16 days while Samantha's will run out in just 2 days. Step-by-step explanation:
