Answer:
C. consecutive interior angles
Step-by-step explanation:
The subject angles are between lines <em>a</em> and <em>b</em>, so are interior (not exterior). They are on different corners of the intersection, so are not corresponding. They are on the same side of line <em>c</em>, so are not alternate. The share a side, but not a vertex, so they are consecutive. The appropriate choice is ...
... C. consecutive interior angles
Answer:
6
Step-by-step explanation:
Inverse proportion.
z = k/w
z = 3, w = 4
Solve for k constant.
3 = k/4
(4)3 = (4)k/4
12=k
The value of k constant is 12.
z = k/w
Put w as 2 and k as 12 and solve for z.
z = 12/2
z = 6
The value of z when w equals 2 is 6.
Answer:
an equals sign
Step-by-step explanation:
Answer:

Domain: All Real Numbers
General Formulas and Concepts:
<u>Algebra I</u>
- Domain is the set of x-values that can be inputted into function f(x)
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Derivative: ![\frac{d}{dx} [ln(u)] = \frac{u'}{u}](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bln%28u%29%5D%20%3D%20%5Cfrac%7Bu%27%7D%7Bu%7D)
Step-by-step explanation:
<u>Step 1: Define</u>
f(x) = ln(2x² + 1)
<u>Step 2: Differentiate</u>
- Derivative ln(u) [Chain Rule/Basic Power]:

- Simplify:

- Multiply:

<u>Step 3: Domain</u>
We know that we would have issues in the denominator when we have a rational expression. However, we can see that the denominator would never equal 0.
Therefore, our domain would be all real numbers.
We can also graph the differential function to analyze the domain.