Answer:
C. 8x - 3y = 5
Step-by-step explanation:
7 - 3(x - y) = 5x + 2
Standard form: Ax + By = C
7 -3x + 3y = 5x + 2
7 -8x + 3y = 2
-8x + 3y = -5
Divide by -1 to each number
8x - 3y = 5
Answer:
0 is an inflection point
1/4 is a local maximum.
Step-by-step explanation:
To begin with you find the first derivative of the function and get that

to find the critical points you equal the first derivative to 0 and get that

To find if they are maximums or local minimums you use the second derivative.

since
is neither an inflection point, and since
then 1/4 is a maximum.
Area = PI * radius^2
Circumference = 2 * PI * radius
radius = Circumference / 2 * PI
So, Area = PI * (Circumference / 2 *PI) * (Circumference / 2 *PI)
So, Area = Circumference^2 / (4*PI)
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:
, 