Answer:
B
Step-by-step explanation:
Given the translation (- 5, 4 ) → (- 1, 2 )
Note the x- coordinate of the translation is 4 more than the x- coordinate of the original x- coordinate, that is - 5 → - 1 is + 4
The y- coordinate of the translation is 2 less than the y- coordinate of the original y- coordinate, that is 4 → 2 is - 2
Thus the translation rule is
(x, y ) → (x + 4, y - 2 ) → B
Answer:The graph f(x) is shifted 2 units to left and shifted down by 6 units to form the graph r(x) .
Step-by-step explanation:
Answer:
0.3 chance of not drawing a blue marble.
Step-by-step explanation:
This problem can be found using the theoretical probability formula.
The formula is: P (desired outcome) = <u># of desired outcomes</u>
total number of outcomes
Now all you have to do is input the numbers into the equation.
P(not drawing a blue marble) = <u>3</u>
10
3/10 is equal to 0.3 as a decimal.
YES
Step-by-step explanation:
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
