Answer:
x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Step-by-step explanation:
Solve for x:
6 x^2 - 4 x = 1
Divide both sides by 6:
x^2 - (2 x)/3 = 1/6
Add 1/9 to both sides:
x^2 - (2 x)/3 + 1/9 = 5/18
Write the left hand side as a square:
(x - 1/3)^2 = 5/18
Take the square root of both sides:
x - 1/3 = sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
x = 1/3 + sqrt(5/2)/3 or x - 1/3 = -sqrt(5/2)/3
Add 1/3 to both sides:
Answer: x = 1/3 + sqrt(5/2)/3 or x = 1/3 - sqrt(5/2)/3
Answer:
0.25
Step-by-step explanation:
the unit rate in this case is the cost per line, you decide 2.00 by 8
2.00/8=0.25
Answer:
Dharma and Jorge should purchase a group plan.
They could save $9.55
Step-by-step explanation:
A group plan will cost an average of $135.95 per month.
An individual plan will cost an average of $72.75 per month.
Two individual plans will cost an average of

per month.
Since $145.50 > $135.95, Dharma and Jorge should purchase a group plan.
They could save

Answer:
A, C and F
Step-by-step explanation:
The given function is
It is an exponential function of the form
On comparing both the functions, we get
It means the initial value is 5 and growth factor is 3.
Since both values are positive it means the given functions is an exponential growth function, therefore,
1. The graph is increasing by a common ratio of 3.
2. As x increases, y increases.
3. As x decreases, y approaches 0.
Hence, the correct options are A, C and F.
Answer:
12
Step-by-step explanation:
each letter can be used with each other 3 times and there are 4 letters so 12