Answer:
x = 65
Step-by-step explanation:
Angles are equal because of the vertical angle thm
2x + 15 = 145
2x = 130
x = 65
Answer:
B: (4x - 7)(16x^2 + 28x + 49)
Step-by-step explanation:
64x^3-343 can be rewritten as 4^3x^3 - 7^3 or (4x)^3 - 7^3. This is the difference of two cubes. The appropriate formula for factoring such is
a^3 - b^3 = (a - b)(a^2 + ab + b^2). Therefore,
our (4x)^3 - 7^3 = (4x - 7)(16x^2 + 28x + 49). This is Answer B.
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Reduce the fraction with 2
Option D:
is the domain of the function.
Solution:
Given function is

<u>To find the domain of the function:</u>
Option A: 
Substitute x = 0 in r(x).

If x = 0, then r(0) = 0
So that x ≠ 0 is false.
So,
is not the domain of the function.
Option B: 
Substitute x = –1 in r(x).

If x = –1, then r(–1) = 1
So that x = ± 1 is false.
So,
is not the domain of the function.
Option C: 
Substitute x = 1 in r(x).

It is indeterminate.
So, all real numbers are not the domain of the function.
Option D: 
Substitute x = 1 in r(x).

It is indeterminate.
So,
is the domain of the function.