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Answer:
A: Exponential
B: Quadratic
C: Linear
Step-by-step explanation:
Solution:-
- We will closely inspect each Table and find the difference between each "Y" value at every unit increase in "x" value:
Table A:
X Y ΔY/ΔX
1 5 xxxxxx Exponential because [ ΔY/ΔX ]
2 11 11 - 5 = 6 increases at the fastest rate out of all
3 29 29 - 11 = 18 functions.
4 83 83 - 29 = 54
5 245 254 - 83 = 171
6 731 731 - 254 = 477
Table B:
X Y ΔY/ΔX Δ^2Y/ΔX^2
0 5 xxxxxx xxx Quadratic because
1 7 7 - 5 = 2 xxx Δ^2Y/ΔX^2 is a constant
2 13 13 - 7 = 6 6-2 = 4 for all quadratic functions
3 23 23 - 13 = 10 10-6 = 4
4 37 37 - 23 = 14 14-10 = 4
5 55 55 - 37 = 18 18-14 = 4
Table C:
X Y ΔY/ΔX
3 20 xxxxxx Linear because
6 18 2 / 3 ΔY/ΔX is a constant
9 16 2 / 3 for all linear functions
15 12 2 / 3
27 4 8/12 = 2/3
39 -4 8/12 = 2/3
First subtract 12 from both sides, then subtract 2x from both sides, multiply both sides by -1, then divide by 4.
x > 3.5
Answer:
Step-by-step explanation:
4n - 6m = - 2 Subtract 4n from both sides.
4n-4n - 6m = -2-4n
-6m = - 2 - 4n Divide by - 6
-6m/-6= -2/-6 -4n/-6 Do the division
m = 1/3 + 2n/3
The signs change because each term has 2 minus signs. 2 minus signs make a plus. Or both minus signs cancel.
See attachment for the graph of the piecewise function h(x)
<h3>How to plot the function?</h3>
The function is given as:
h(x) = | -4, x < 3
| x + 5, x >= 3
The above function is a piecewise function.
It has 2 separate functions at two domains
This means that we plot the sub-functions in the piecewise function at their respective domain
See attachment for the graph of the piecewise function h(x)
Read more about piecewise function at:
brainly.com/question/27262465
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