Answer:
tens-or 60
Step-by-step explanation:
the 1 is in the ones place the 6 is in the tens place and the 8 is in the hudreths place.
19. A
20. C
21. C
22. B
23. B
24. C
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:
x = -1 ± 2i
Step-by-step explanation:
The standard form of a quadratic equation is ax² + bx + c = 0, and the quadratic formula is x= [−b ± √(b
² - 4ac) ] / 2a
In this case, a = 1, b = 2 and c = 5. Now you have to substitute in the quadratic formula:
x= [−b ± √(b
² - 4ac) ] / 2a
x= [−2 ± √(2
² - 4*1*5) ] / 2*1
x= [−2 ± √(4 - 20) ] / 2
x= [−2 ± √(-16) ] / 2
Since the square root is negative, you have to use imaginary numbers to continue solving the equation. Remmber that √(-1) = i.
x= [−2 ± √(-16) ] / 2
x= [−2 ± √(16)i ] / 2
x= [−2 ± 4i ] / 2
x1 = [−2 + 4i ] / 2
x1 = -1 + 2i
x2 = [−2 - 4i ] / 2
x2 = -1 - 2i
So the answers of x are -1 ± 2i
