Answer:
the angle is 40°
Step-by-step explanation:
180 - 140 = 40
Answer: f(-7) = 17 2/3
Step-by-step explanation:
All you have to do is plug in the given value for x.
f(-7)=((-7)^2+4)/3 = (49+4)/3 = 53/3 = 17 2/3
Answer:
y ≤ 2x + 4 and x + y ≥ -6
Step-by-step explanation:
Graphing a system of inequalities is similar to graphing linear functions. It is best to have equations in the form of y = mx + b where m = slope and b = y-intercept. Looking at the graph, you can see that there is one line going uphill (positive slope) and one going downhill (negative slope). There are two y-intercepts, one from each line at (0,4) and (0, -6) So, only the top two equations have a y-intercept equal to 4 and -6. Then, you can find the slope of each line by choosing two points on the same line and using rise/run to find the change in 'y' over the change in 'x'.
Line #1 (uphill): (-2, 0) and (0, 4) = 4-0/0- -2 = 4/2 = 2
The only answer with a positve 2 slope and y-intercepts of 4 and -6 is the second one, so that is your answer.
Answer:
With 20 visits in one year the cost of the clulbs are equal.
Step-by-step explanation:
On the club A the amount paid in function of the number of visits can be expressed as bellow:
cost = 60 + 2*visits
On the club B the amount paid in function of the number of visits can be expressed as:
cost = 20 + 4*visits
In order for the cost to be the same we must find a value of visits that makes them equal, so we have:
60 + 2*visits = 20 + 4*visits
2*visits - 4*visits = 20 - 60
-2*visits = -40
visits = 20
With 20 visits in one year the cost of the clulbs are equal.
Answer:
2.5 meters of butcher paper.
Step-by-step explanation:
5/6(per 1 sign) times 3(signs) = 2.5
