Answer:
Step-by-step explanation:
steps are below
step 1
y^3-8y^2+19y=12 equation
step 2
y^3-8y2+19y(-12)=12(-12) minus 12 from both sides
y^3-8y^2+19y-12=0
step 3
(y-1)(y-3)(y-4)=0 add brackets
step 4
(y-1)(y-3)(y-4)=0 factor
step 5
y-1=0 or y−3=0 or y-4=0 set them equal
Answer:
y=1 or y=3 or y=4
Answer:
409
Step-by-step explanation:
Answer:
(-1, -6)
Step-by-step explanation:
f(x -5) is another way to say f(x) - 5
And f(x) - 5 is going down the y axis 5 points, so you end at (-1, -6)
Answer:
(1, 4) and (1,3), because they have the same x-value
Step-by-step explanation:
For a relation to be regarded as a function, there should be no two y-values assigned to an x-value. However, two different x-values can have the same y-values.
In the relation given in the equation, the ordered pairs (1,4) and (1,3), prevent the relation from being a function because, two y-values were assigned to the same x-value. x = 1, is having y = 4, and 3 respectively.
Therefore, the relation is not a function anymore if both ordered pairs are included.
<em>The ordered pairs which make the relation not to be a function are: "(1, 4) and (1,3), because they have the same x-value".</em>