Answer:
x = 17 and y = 8
Step-by-step explanation:
Since (6x + 3) and (8x - 31) are alternate interior angles, they are congruent.
Therefore, you can set them equal to each other and solve for x.
8x - 31 = 6x + 3
Combine like terms
2x = 34
Divide both sides by two
x = 17
Since (5y + 35) and (6x + 3) are consecutive interior angles, they add up to 180. Plug in 17 for x.
(5y + 35) + (6(17) + 3) = 180
Add like terms
5y + 140 = 180
5y = 40
y = 8
F(x) = 7x - 1
Since it’s translated down 4 units, subtract 4 from the y intercept.
Answer:
P(N) = 6 + N ; if P(N) > 12 ; P(N) = 6 + N - 12
Step-by-step explanation:
Paris is 6 hours ahead of New York ;
P - Paris time
N - New York time
To represent P as a function of N
P(N) = 6 + N
If P comes out greater than 12 ; because we want a 12-hour clock :
If P(N) is > 12
P(N) becomes ;
P(N) = 6 + N - 12
Answer:
For the table on the left the rate of change is 
For the table on the left the rate of change is 
Step-by-step explanation:
The range of change is the slope. The slope can be found with the following formula:
<u>For the table on the left</u>
Choose two points. In this case you can choose (-1,-24), (4,90)
You can say that:
Substituting these values into the formula, you get:
<u>For the table on the right</u>
Choose two points. You can choose (3,-6), (-6,12)
You can identify that:
Substituting these values into the formula, you get:
