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.
Answer:
Step-by-step explanation:
We are provided with the information that
Function f is decreasing as it moves from quadrant 2 to quadrant 1, tending towards y=0
It intersects the y-axis at the point (0,6) and goes through (1,2).
Function g(x) also approaches y=0 in quadrant 2, but increases in quadrant 1.
It passes through (-1,2) and crosses the y-axis at (0,6).
Reflection across y-axis:
The transformation rule is identified as
Applying this rule, we derive
Then, by substituting
for x=-1
for x=0
Consequently, holds true.
Got it!
There are 2π radians in a complete circle.
Now, let's calculate the circumference.
5/2π = 60/circumference.
Next, solve for the circumference.
By multiplying both sides by 2π, we have: 5 * circumference = 120π.
Now divide both sides by 5, and we find: circumference = 24π.
Using the formula c = 2πr,
we set 24π = 2πr.
Dividing both sides by 2π gives us r = 12. Thus, the radius measures 12cm.
I think it's a linear model since it consistently adds +3 each day.
