X + 3y = 14
x + 3(3x - 14) = 14
x + 9x - 42 = 14
10x - 42 = 14
<u> + 42 + 42</u>
<u>10x</u> = <u>56</u>
10 10
x = 5.6
5.6 + 3y = 14
<u>- 5.6 - 5.6</u>
<u>3y</u> = <u>8.4</u>
3 3
y = 2.7
(x, y) = (2.7, 5.6)
Answer:
a) The function is constantly increasing and is never decreasing
b) There is no local maximum or local minimum.
Step-by-step explanation:
To find the intervals of increasing and decreasing, we can start by finding the answers to part b, which is to find the local maximums and minimums. We do this by taking the derivatives of the equation.
f(x) = ln(x^4 + 27)
f'(x) = 1/(x^2 + 27)
Now we take the derivative and solve for zero to find the local max and mins.
f'(x) = 1/(x^2 + 27)
0 = 1/(x^2 + 27)
Since this function can never be equal to one, we know that there are no local maximums or minimums. This also lets us know that this function will constantly be increasing.
Answer:
9
Step-by-step explanation:
x didn't change in value, y changed by 9
the distance between the two points is 9
Answer:
The answer is point C
Step-by-step explanation:
You're starting at 400. Each time you're cutting in half.
So the common ratio is 1/2 which means the equation is
![\Large y = 400(1/2)^{x-1}](https://tex.z-dn.net/?f=%5CLarge%20y%20%3D%20400%281%2F2%29%5E%7Bx-1%7D)
which is in the geometric sequence format. So the answer is choice D