Answer:
(4,1) and Every input must be paired with exactly one output
Step-by-step explanation:
If an ordered pair has repeated x-coordinates (inputs) they must have the exact same y-value (output) or it will not be considered a function however, if an output repeats with different inputs, it doesn't matter it can still be a function.
Other names for "plane Z" include:
___________________________
1) The "z-plane";
___________________________
2) The "complex plane";
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3) <span>the "domain of the </span>z<span>-transform"
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Answer:
y=2x-58
Explanation:
In order to write our point-slope formula (y=mx+C format), we first need to figure out the slope (m). To figure out the slope, we divide the change in y by the change in x between the two points (rise/run). The rise is 30 (2-(-28)) and the run is 15 (30-15). Therefore the slope is 2 (30/15)
This gives us:
y=2x + c
Now to figure out C (which will be the y-intercept of the graph) we substitute in the values from one of the points. So our x=30 and our y=2:
2=2(30) + c
2=60+c
2-60=c
-58=c
So now we know that our C (constant) is - 58.
Hence our point-slope formula is:
y=2x-58
Which you can test with the other point:
-28=2(15) - 58
Hope this helped!
Answer:
To write a linear equation in standard form, move each variable term to the left side of the equation and simplify.
A
x
+
B
y
=
C
Since
x
is on the right side of the equation, switch the sides so it is on the left side of the equation.
3
x
−
2
=
y
Move
y
to the left side of the equation because it contains a variable.
3
x
−
2
−
y
=
0
Move
2
to the right side of the equation because it does not contain a variable.
3
x
−
y
=
2
Step-by-step explanation:
Answer:
See the solutions below
Step-by-step explanation:
Given data
Distance = 24.6km
in meters= 24.6*1000= 24600m
time= 30 minutes
in seconds= 30*60= 1800
int hours= 0.5 hour
speed of the particle in
(i) km/h= 24.6/0.5= 49.2 km/h
(ii) m/s.= 24600/ 1800= 13.66 m/s