Given:
![$\frac{6}{a^{2}-7 a+6}, \frac{3}{a^{2}-36}](https://tex.z-dn.net/?f=%24%5Cfrac%7B6%7D%7Ba%5E%7B2%7D-7%20a%2B6%7D%2C%20%5Cfrac%7B3%7D%7Ba%5E%7B2%7D-36%7D)
To find:
The LCD of the fractions.
Solution:
LCD means least common denominator.
Let us find the least common multiplier for the denominator.
The denominators are
.
Factor
:
![a^{2}-7 a+6=\left(a^{2}-a\right)+(-6 a+6)](https://tex.z-dn.net/?f=a%5E%7B2%7D-7%20a%2B6%3D%5Cleft%28a%5E%7B2%7D-a%5Cright%29%2B%28-6%20a%2B6%29)
Take a common in first 2 terms and -6 common in next two terms.
![=a(a-1)-6(a-1)](https://tex.z-dn.net/?f=%3Da%28a-1%29-6%28a-1%29)
Take out common factor (a - 1).
------------- (1)
Factor
:
![\left(a^{2}-36\right)=\left(a^{2}-6^2\right)](https://tex.z-dn.net/?f=%5Cleft%28a%5E%7B2%7D-36%5Cright%29%3D%5Cleft%28a%5E%7B2%7D-6%5E2%5Cright%29)
Using identity: ![(a^2-b^2)=(a-b)(a+b)](https://tex.z-dn.net/?f=%28a%5E2-b%5E2%29%3D%28a-b%29%28a%2Bb%29)
------------- (1)
From (1) and (2),
LCM of ![\left(a^{2}-7 a+a\right),\left(a^{2}-36\right)=(a-1)(a-6)(a+6)](https://tex.z-dn.net/?f=%5Cleft%28a%5E%7B2%7D-7%20a%2Ba%5Cright%29%2C%5Cleft%28a%5E%7B2%7D-36%5Cright%29%3D%28a-1%29%28a-6%29%28a%2B6%29)
Therefore LCD is (a - 1)(a - 6)(a + 6).
Answer:
x=9
EF=7
FG=20
Step-by-step explanation:
2x-11 + 4x-16=27
6x-27=27
+27 +27
6x=54
6x/6=54/6
x=9
EF= 2(9)-11
18-11=7
FG=4(6)-16
36-16=20
The answer is going to be letter B
Answer:
Darren is correct. Sonya did not find the distance along a line. Sonya found the distance or length of a line segment, not a line that extends infinitely long. She also used a unit of measure that requires the concept of distance for its definition.
Step-by-step explanation:
so ya thats the sample answer
f(x) = 2x² + 7x + 6 and g(x) = 2^x + 5 have -
- Equal y-intercept at (0,6)
- Same end behavior as x approaches positive infinity
<h3>How to determine the common features of the polynomial equations?</h3>
The equation of the functions are given as:
f(x) = 2x² + 7x + 6 &
g(x) = 2^x + 5
Next, we plot the graph of both functions (see attachment)
From the graph, we have the following highlights
- The y-intercept of both functions is (0,6)
- Both functions approach positive infinity as x approaches positive infinity
To learn more about polynomial functions from given link
brainly.com/question/27590779
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