Answer:
2(x+3) (x+1)
Step-by-step explanation:
2x² + 8x + 6
Splitting the middle term (8x)..
2x² + 6x + 2x + 6 =0
x (2x + 6) + 1 (2x + 6)
(2x + 6) (x + 1)
2(x + 3) (x + 1)
Hence, option C. is the correct answer.
Answer:
[D] ∞
General Formulas and Concepts:
<u>Calculus</u>
Limits
Step-by-step explanation:
<u>Step 1: Define</u>
<em>Identify</em>
<em />
<em />
<em />
<em />
<em />
<u>Step 2: Evaluate</u>
- Substitute in function [Limit]:

- Multiply:

- Power Method:

Since the degree of the polynomial is greater in the numerator than in the denominator, the top will always increase faster than the bottom, thus getting infinitely larger.
Topic: AP Calculus AB/BC (Calculus I/I + II)
Unit: Limits
Book: College Calculus 10e
Answer:
Angle 3 is 75 degrees
Angles 8 is 105 degrees
Step-by-step explanation:
Angle 3: One line t, angle 3 and the one measure 105 are supplementary and equal to 180 degrees. Subtract 105 from 180.
Angles 8: The angle that measures 105 and angle 8 are alternate exterior angles. This means both angles are equal.
Hope this helps!
Answer:
We have 252 different schedules.
Step-by-step explanation:
We know that as a freshman, suppose you had to take two of four lab science courses, one of two literature courses, two of three math courses, and one of seven physical education courses.
So from 4 lab science courses we choose 2:

So from 2 literature courses we choose 1:

So from 3 math courses we choose 2:

So from 7 physical education courses we choose 1:

We get: 6 · 2 · 3 · 7 = 252
We have 252 different schedules.
Answer:
6x +47
Step-by-step explanation:
f(x) = 6x + 11
g(x) = x + 6
now f[g(x)]=<em>by</em><em> </em><em>substituting</em><em> </em><em>values</em><em> </em><em>of</em><em> </em><em>g</em><em> </em><em>(</em><em>x</em><em>)</em>
<em>to</em><em> </em><em>f</em><em> </em><em>(</em><em>x</em><em>)</em>
<em>f[g(x)]</em><em>=</em><em>6</em><em> </em><em>(</em><em>x</em><em>+</em><em>6</em><em>)</em><em>+</em><em>11</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>6x</em><em>+</em><em>36</em><em>+</em><em>11</em>
<em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em> </em><em>=</em><em>6x</em><em> </em><em>+</em><em>47</em>