Answer:
The answer is 2
Step-by-step explanation:
To find this, follow the order of operations as laid out below.
120(2x - 2) = 240 ----> Divide both sides by 120
2x - 2 = 2 ----> Add 2 to both sides
2x = 4 ------> Divide both sides by 2
x = 2
Answer:
Only option A is correct.
Step-by-step explanation:
From the given figure it is noticed that the vertices of hyperbola are (0,8) and (0,-8). It is a vertical hyperbola.
It means a=8.
From the rectangle we can say that the value of b is 6.




The focus of a vertical hyperbola are (0,c) and (0,-c). So, the focus of hyperbola are (0,10) and (0,-10).
Therefore option A is correct.
Asymptotes of a vertical hyperbola are



Directrix of a vertical hyperbola are



Only option A is correct.
Yes they will be equal at some point. Although Marc has more miles on his car at the current moment, Elena is adding miles at a higher rate.
Elena's car: 7000 + 21000t
Marc's car: 20000 + 11000t
To find at what time t they are equal, set these two expressions equal to each other and solve for t.
7000 + 21000t = 20000 + 11000t
13000 = 10000t
t = 1.3 years from now
Turn all rational numbers into fractions:
0.2 remains as it is
4/15 as a decimal is 0.26 with the 6 repeating
0.21 remains as it is
1/4 as a decimal is 0.25
Now we can organize from least to greatest as shown below:
0.2, 0.21, 0.25 (1/4), 0.2666666 (4/15)
Hope this helped!