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mari33312
21.02.2020 •
Mathematics
For what value of c is the relation a function?
StartSet (2, 8), (12, 3), (c, 4), (negative 1, 8), (0, 3) EndSet
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Ответ:
{ c ∣ c ≠ 2 , 12, -1, 0, c ∈ R }
Step-by-step explanation:
Considering the set
As we know that
A function is said to be a relation if every x-value has one and only one y-value.So, the value of c must not be equal to 2, 12, -1, 0 i.e. c ≠ 2, 12, -1, 0
Therefore,
{ c ∣ c ≠ 2 , 12, -1, 0, c ∈ R }
Ответ:
(0,-3) see attached graph
step-by-step explanation:
a. to solve the system, graph the two equations.
x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.
y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.
the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).
b. to solve by substitution, substitute y = -4x-3 into x= y+3
x= (-4x-3) +3
x=-4x
5x=0
x=0
now substitute x = 0 back in to find y.
y= -4(0)-3
y=0-3
y=-3
solution is (0,-3)
c. use elimination by adding the equations together.
x-y=3
4x+y=-3
5x=0
x=0
then substitute into one equation to find y.
y=-4(0)-3
y=-3