g(x) is basically f(x) but flipped or reflected over or the y-axis. We can achieve this effect by negating f(x), or -f(x).
g(x) = -f(x) = -|x|
Answer: 7/8
Cos2x has 3 formulas, Sinx is given in the question, we should use the formula with sinus. I guess that's the solution.
Answer:
D
Step-by-step explanation:
Hi,
Concept: This is work & time related problem which can be solved in their inverse proportions.
Let Lisa can do a work in x hours.
Lisa's one hour work = 1 / x
According to the problem, Justin can do the same work in 2x hours.
Justin's one hour work = 1 / (2x)
Now, we shall find both 1 hour work just by adding their 1 hour's work.
Both 1 hour's work = (1 /x) + [1 / (2x)] = 3 / (2x)
Full works time = (2x /3) hours.
Again, according to the problem,
2x / 3 = 8
or, x= 12 hours.
Hence Justin will take 2x = 24 hours to complete work as alone.
Answer: Fran's number is 70
Step-by-step explanation:
Let x represent Jen's number.
Let y represent Carrie's number.
Let z represent Fran's number.
When you add their numbers together you get 207. This means that
x + y + z = 207 - - - - - - - - - -1
Jen's number is 9 more than Carrie's number. It means that
y = x - 9
Fran's number is 3 less than Jen's number. It means that
z = x - 3
Substituting y = x - 9 and z = x - 3 into equation 1, it becomes.
x + x - 9 + x - 3 = 207
3x - 12 = 207
3x = 207 + 12 = 219
x = 219/3 = 73
y = x - 9 = 73 - 9
y = 64
z = x - 3 = 73 - 3
z = 70