Solve for K by simplifying both sides of the equation, then isolate the variable.
K = 193
Answer:
y = 16x
Step-by-step explanation:
Answer:
b=4
Step-by-step explanation:
So, we have the function
. We need to find b such that the average rate of change or the slope is -1/8 between the intervel [2, b]. First, let's find f(2).
f(2) = 1/(2) = 1/2
So, we have the point (2, 1/2)
At point b, f(b) = 1/b.
Let's plug this into the slope formula:

Now, we just need to solve for b. First, let's multiply both the numerator and denominator by b (to get rid of the annoying fraction in the numerator).

Now, cross multiply.


Solve for b. Factor using the numbers -4 and -2.

Thus, b=4 or b=2.
However, b=2 is not a possible solution since the interval [2,2] means nothing. Thus, b=4.
Twenty percent of $35 is 0.20($35) = $7. The discount is $7.
Answer: Second option.
Step-by-step explanation:
Given the functions f(x) and g(x):

You need to divide them in order to find
asked in the exercise. Then:

Now, it is important to remember that, by definition, the division by zero is not defined. Therefore, the denominator of the function cannot be zero.
Let's find the value of "x" for which the denominator of the function would be zero:
1. You need to make the denominator equal to zero:

2. Finally, you must solve for "x":

Therefore, as you can see, the answer is:
, 