Answer:
yes to both
Step-by-step explanation:
For a relationship to be a function then each value of x must relate to exactly one unique value of y.
This is the case in this table as
2 → 76
4 → 152
6 → 228
All unique values thus a function
To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.
m = 
with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table
m =
=
= 38
Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)
m =
=
= 38
Since rate of change is constant then function is linear
Answer: 4/3
Step-by-step explanation:
What are the corresponding sides?
4 and 3
8 and 6
9 and 6.75
This is very easy, just make a fraction
4/3 = 4/3
8/6 = 4/3
9/6.75 = 4/3
Hence the answer is 4/3
Answer:
x = 15
Step-by-step explanation:
The sum of the 3 angles in a triangle = 180°
Sum the 3 given angles and equate to 180, that is
3x - 10 + 6x + 5 + 4x - 10 = 180, simplify left side
13x - 15 = 180 ( add 15 to both sides )
13x = 195 ( divide both sides by 13 )
x = 15
Set the equal to each other
2x-4=4x-10
6=2x
x=3
y=2(3)-4
=6-4
y =2
Answer:
Volume is 48 yards cubed
surface area is 96 yards squared