Answer:
1) x > 6
2) x ≥ -21
3) x < 5
4) x < -3
Step-by-step explanation:
I don't know if at school they teach you to graph with parentheses or with dots so I drew both ways
In any equation of any kind, a value "satisfies" the equation when it makes the equation a true statement after being substituted for the variable.
If you put the coordinates of a point into either the vector equation or the parametric equations, those equations will be "satisfied" if they become true statements after the substitution.
_____
Trivial example:
.. x = 2
is "satisfied" by x having the value 2, because
.. 2 = 2
is a true statement.
Answer: Mika has not described a proportional relationship. Although it is a linear function, it does not pass through the origin.
Step-by-step explanation: if you place those points on a graph, they do create a linear function; the line just doesn't pass through the origin.
The volume of the original prism is given by:
V1 = (10) * (2) * (h)
rewriting:
V1 = 20h
Where,
h: height
The volume of the second prism is given by:
V2 = (5) * (w) * (h)
We know that the height is the same.
As the volume is the same then:
(5) * (w) * (h) = 20h
Clearing w we have:
w = (20/5) = 4 cm
Answer:
The width, in centimeters, of the new prism is:
w = 4cm