Answer:
Option (D).
Step-by-step explanation:
If the graph of a relation has two output values for a single input value, relation will not be considered to be a function.
Option (A).
For the input values of x = -1, there are two output values, y = -1, 1.
Therefore, given relation is not a function.
Option (B).
Since, all the parabolas don't represent a function, given parabola in the graph is not a function.
Option (C).
Not a function. It's a relation.
Option (D).
Line plotted in the graph has a distinct output value for every input value.
Therefore, the given graph represents a linear function.
1) we calculate the volume of the first carton:
volume=length x width x height
volume=3 ft * 2 ft * 2 ft=12 ft³
Therefore:
A machine can fill 12 ft³ in 3 seconds.
2) we calculate the volume of the second carton.
volume=length x width x heigth
volume=4 ft * 5 ft * 6 ft=120 ft³
3) we calculate the time that the machine needs for fill the second carton with packing material by the rule of three.
12 ft³---------------------3 seconds
120 ft³-------------------- x
x=(120 ft³ * 3 seconds) / 12 ft³=30 seconds.
answer: 30 seconds.
Answer:
1/12 of the original
Step-by-step explanation:
If you split 1/4 into 3 equal pieces, then each friend gets 1/12 of the original cake
Answer:
y = 105°
Step-by-step explanation:
In an isosceles trapezoid
• Any lower base angle is supplementary to any upper base angle
• The lower base angles are congruent
75 and x are supplementary, thus
x = 180° - 75° = 105°
x and y are lower base angles and congruent, so
y = x = 105°
