Answer:
60
Step-by-step explanation:
Substitute 50 for y in the formula
5x+10y=800
5x+10*50=800
5x+500=800
5x=800-500
5x=300
x=300/5
x=60
Answer:
88 Tickets were sold
Step-by-step explanation:
20*$4=$80
$216-$80=$136
$136/2=68
20+68=88 tickets
Answer:
0, π
Step-by-step explanation:
cos x sin x = sin x
cos x sin x - sin x = 0
sin x (cos x - 1) = 0
sin x = 0, x = 0, π
cos x - 1 = 0
cos x = 1, x = 0
So answers: 0, π
Answer:
y" = csc(x)[9cot²(x) - csc²(x)]
Step-by-step explanation:
Step 1: Define
y = 9csc(x)
Step 2: Find 1st derivative
y' = -9csc(x)cot(x)
Step 3: Find 2nd derivative
y" = 9csc(x)cot(x)cot(x) + -csc(x)csc²(x)
y" = 9csc(x)cot²(x) - csc³(x)
y" = csc(x)[9cot²(x) - csc²(x)]
In this case, we'll have to carry out several steps to find the solution.
Step 01:
Data
f(x) = √3x
g(x) = √48x
(f . g)(x) = ?
Step 02:
(f . g)(x) :
![\text{ (f.g)(x) = }\sqrt[]{3(\sqrt[]{48x)}}](https://tex.z-dn.net/?f=%5Ctext%7B%20%20%20%20%20%20%20%20%20%20%28f.g%29%28x%29%20%3D%20%7D%5Csqrt%5B%5D%7B3%28%5Csqrt%5B%5D%7B48x%29%7D%7D)
![(f.g)(x)\text{ = }\sqrt[]{3(48x)^{\frac{1}{2}}}\text{ }](https://tex.z-dn.net/?f=%28f.g%29%28x%29%5Ctext%7B%20%3D%20%7D%5Csqrt%5B%5D%7B3%2848x%29%5E%7B%5Cfrac%7B1%7D%7B2%7D%7D%7D%5Ctext%7B%20%7D)
(f.g)(x) = 12 √ x
The answer is:
(f.g)(x) = 12 √ x
