Answer:
Option 2 (Graph B)
Step-by-step explanation:
x ≤ ⁵/4 or x ≥ ⁵/2 represents a compound inequality containing the union of two statements. Either of the statements makes the compound inequality true.
On a graph, the small "o" indicating the start of the value of x would be full, this means ⁵/4 and ⁵/2 are included in the solutions.
Therefore, the correct graph in option 2 (Graph B), where the arrow goes from between 1 and 1.5 to your left, and the other arrow goes from 2.5 to your right.
Answer:
Step-by-step explanation:
We will make a table and fill it in according to the information provided. What this question is asking us to find, in the end, is how long did it take the cars to travel the same distance. In other words, how long, t, til car 1's distance = car 2's distance. The table looks like this:
d = r * t
car1
car2
We can fill in the rates right away:
d = r * t
car1 40
car2 60
Now it tells us that car 2 leaves 3 hours after car 1, so logically that means that car 1 has been driving 3 hours longer than car 2:
d = r * t
car1 40 t + 3
car2 60 t
Because distance = rate * time, the distances fill in like this:
d = r * t
car1 40(t + 3) = 40 t+3
car2 60t = 60 t
Going back to the interpretation of the original question, I am looking to solve for t when the distance of car 1 = the distance of car 2. Therefore,
40(t+3) = 60t and
40t + 120 = 60t and
120 = 20t so
t = 6 hours.
Answer: 1
Step-by-step explanation: you plug in -1 as x for g(x) and you use the answer from that (which is 6) and plug that into f(x)
The interior angles of a triangle need to be equal to 180°, so to solve this you need to figure out how many degrees you need to get 180°.
46 + 61 = 107
180 - 107 = 73
The measure of the third angle is B. 73°.
