Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Let analyse each table
X Y ΔY/ΔX
1 5 xxxxxx
2 11 11 - 5 = 6
3 29 29 - 11 = 18
4 83 83 - 29 = 54
.....................
We can see that, [ ΔY/ΔX ] increases at the fastest rate out of all functions, so it must be exponential function
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx
1 7 7 - 5 = 2 xxx
2 13 13 - 7 = 6 6-2 = 4
3 23 23 - 13 = 10 10-6 = 4
..............................
It is a quadratic because Δ^2Y/ΔX^2 = 4 and are constant for all values
X Y ΔY/ΔX
3 20 xxxxxx
6 18 2 / 3
9 16 2 / 3
15 12 2 / 3
..............
It is a linear because ΔY/ΔX = 2/3 are constant for all values
The graph shows us that the slope of f(x) is -2. Now we gotta find the slope of g(x) to compare it to that of f(x). The equation of g(x) is in slope-intercept form (y = mx + b, where m is the slope and b is the y-intercept), so the slope is given to us for that one as well: it's -6. A line with a slope of -6 will be steeper than a line with a slope of -3, therefore the answer is B - the slope of f(x) is less than the slope of g(x).
Hope this helps.
A rectangular prism has a lot of volume. Volume is the amount of scpace the cereal can go.
Answer:
Rotation of a point through 180°, about the origin when a point M (h, k) is rotated about the origin O through 180° in anticlockwise or clockwise direction, it takes the new position M' (-h, -k)
Step-by-step explanation:
IDK if this helped you out
Answer:
x + 5y = 0
Step-by-step explanation:
y = mx + b
y = -1/5 x + b
1 = -1/5 (-5) + b
1 = 1 + b
b = 0
y = -1/5 x
5y = -x
x + 5y = 0