Answer: All the real values except x ≠ 7 and the x for which f(x)≠-3
Step-by-step explanation:
Since, For function f , the domain is R - {7}
That is, If x is any element of the domain of the function f,
Then, x ≠ 7
(gof)(x) = g(f(x))
Since, For the function g, the domain is R - {-3}
Thus, If f(x) is any element of the domain of the function g,
Then f(x)≠ -3
Hence, Fourth Option is correct.
To be pefectly honest, your question really doesn't make sense.
160 is a rational number, and there isn't any irrational number that's
related, connected, or tied to it in any particular way.
Answer:
(a) 
(b) L reaches its maximum value when θ = 0 because cos²(0) = 1
Step-by-step explanation:
Lambert's Law is given by:
(1)
(a) We can rewrite the above equation in terms of sine function using the following trigonometric identity:
(2)
By entering equation (2) into equation (1) we have the equation in terms of the sine function:
(b) When θ = 0, we have:
We know that cos(θ) is a trigonometric function, between 1 and -1 and reaches its maximun values at nπ, when n = 0,1,2,3...
Hence, L reaches its maximum value when θ = 0 because cos²(0) = 1.
I hope it helps you!
Answer:
3 over 8
Step-by-step explanation:
The total of box numbers is 8 and there are 3 white boxes. So, the total goes on the bottom and the amount of white boxes goes on top.
Hope this helped!
Answer:
pen = $1.20, pencil = $0.50
Step-by-step explanation:
let x = pen
let y = pencil
create system of equations:
3x + 6y = 6.60 [can be simplified to be x + 2y = 2.20]
5x + 8y = 10.00
substitution method:
x = 2.2 - 2y
5(2.2 - 2y) + 8y = 10
11 - 10y + 8y = 10
-2y = -1
y = 1/2
solve for 'x':
3x + 6(1/2) = 6.6
3x + 3 = 6.6
3x = 3.6
x = 1.2
