4. Obtener la variación promedio de la recta \( y=2 x+2 \) en el intervalo \( (-4,3) \)

Let \( c \) and \( m \) be integers. Suppose that the statement " \( c \) is a divisor of \( \Rightarrow \). Check all the sta below that are true. \( m \) is divisible by \( c \) \( m \) is a multiple of \( c \) \( c \mid m \) \( c \) is a factor of \( m \) \( c \) is a multiple of \( m \) \( m \) is a factor of \( c \) the remainder when \( m \) is divided by \( c \) is 0 the remainder when \( c \) is divided by \( m \) is 0 \( m=c k \) for some \( k \in \mathbb{Z} \) \( c \) is divisible by \( m \)

b. Is the number of people with blood type \( A \) in a random sample of 33 people a discrete random variable, a continuous random variable, or not a random variable? A. It is a continuous random variable. B. It is a discrete random variable. C. It is not a random variable

Does the graph of the furiction below have any horizontal tangents in the interval \( 0 \leq x \leq 2 \pi \) ? If so, where? If not, why not? Visualize your findings by graphing the function with a grapher. \( y=4 x+8 \sin x \) - A. The function has a horizontal tangent at \( x=\square \). (Type your answer in radians. Type an exact answer in terms of \( \pi \). Use a comma to separate answers as needed.) B. The function has no horizontal tangents in the interval \( 0 \leq x \leq 2 \pi \) because it is never zero in the interval \( 0 \leq x \leq 2 \pi \). C. The function has no horizontal tangents in the interval \( 0 \leq x \leq 2 \pi \) because its derivative is never zero in the interval \( 0 \leq x \leq 2 \pi \). D. The function has no horizontal tangents in the interval \( 0 \leq x \leq 2 \pi \) because it is defined at every point in the interval \( 0 \leq x \leq 2 \pi \).

Check the factorization by multiplyin Factor: \( m^{2}+m-2 \) -20

Determine if each of the following are division problems or statements. If it is a division problem, write out the solution in the form \( x r y \) where \( x \) is the quotient and \( y \) is the remainder (write \( x r 0 \) if the remainder is 0 ). If it is a statement, determine whether the statement is true or false and write true or false for your answer. a. 8 divides \( 40: \) division problem statement b. 13 divided by \( 5: \) division problem statement c. \( 9166: \) division problem statement