Answer:
domain of the sine and cosine functions is all real numbers
Step-by-step explanation:
range of both the sine and cosine functions is [−1,1]
graph can go left and right to infinity
graph goes up and down between 1 and -1
graph looks like a wave or
like U letters next to each other
UUUU
sine and cosine of an angle have the same absolute value as the sine and cosine of its reference angle.
mathlibretextsorg
Answer:
(f + g)(x) = x² + 4x - 4
Step-by-step explanation:
The statement (f + g)(x) is the same as f(x) + g(x). In other words, the question simply wants you to add the two functions together.
f(x) = 4x + 1
g(x) = x² - 5
(f + g)(x) <----- Original statement
f(x) + g(x) <----- Rewrite
(4x + 1) + (x² - 5) <----- Substitute the equations in f(x) and g(x)
4x + x² - 4 <----- Add 1 and -5
x² + 4x - 4 <----- Rearrange the terms
Here, 3m is a scalar that we use to multiply each element of the matrix.
We have
![3m \left[\begin{array}{cc}-5m&2m\\6m&6n\end{array}\right]](https://tex.z-dn.net/?f=%20%203m%20%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-5m%262m%5C%5C6m%266n%5Cend%7Barray%7D%5Cright%5D%20)
.
We get
![\left[\begin{array}{cc}(3m)(-5m)&(3m)(2m)\\(3m)(6m)&(3m)(6n)\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D%283m%29%28-5m%29%26%283m%29%282m%29%5C%5C%283m%29%286m%29%26%283m%29%286n%29%5Cend%7Barray%7D%5Cright%5D%20)
which simplifies to
![\left[\begin{array}{cc}-15m^2&6m^2\\18m^2&18mn\end{array}\right]](https://tex.z-dn.net/?f=%5Cleft%5B%5Cbegin%7Barray%7D%7Bcc%7D-15m%5E2%266m%5E2%5C%5C18m%5E2%2618mn%5Cend%7Barray%7D%5Cright%5D%20)
The answer is C. 78.
Explanation:
Based on this problem, we need to divide because he is DISTRIBUTING the packages. So 234 divided by 3 = 8 packages in each truckload.
