Answer:
C
Step-by-step explanation:
For the lines to be parallel, then the 2 given angles are alternate and congruent, thus
15x - 46 = 9x + 8 ( subtract 9x from both sides )
6x - 46 = 8 ( add 46 to both sides )
6x = 54 ( divide both sides by 6 )
x = 9 → C
Answer:
This contradicts the Mean Value Theorem since there exists a c on (1, 7) such that f '(c) = f(7) − f(1) (7 − 1) , but f is not continuous at x = 3
Step-by-step explanation:
The given function is

When we differentiate this function with respect to x, we get;

We want to find all values of c in (1,7) such that f(7) − f(1) = f '(c)(7 − 1)
This implies that;




![c-3=\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c-3%3D%5Csqrt%5B3%5D%7B63.15789%7D)
![c=3+\sqrt[3]{63.15789}](https://tex.z-dn.net/?f=c%3D3%2B%5Csqrt%5B3%5D%7B63.15789%7D)

If this function satisfies the Mean Value Theorem, then f must be continuous on [1,7] and differentiable on (1,7).
But f is not continuous at x=3, hence this hypothesis of the Mean Value Theorem is contradicted.
Angle = 68⁰ is an inscribed angles, this angle equal 68⁰,
so it intersect arc = 2*68⁰= 136⁰.
Arc of the whole circle (circumference) =360⁰,and it also =b+104+136.
b+104+136 =360
b=360-(104+136) = 120⁰
Answer A. b=120⁰.
Answer:
Mean: 3.2 Median: 3.2 Mode:3.1 Range:0.5
Step-by-step explanation:
Easy.
Answer:
Is a consistent independent system
Step-by-step explanation:
we know that
If a system has at least one solution, it is said to be consistent .
If a consistent system has exactly one solution, it is independent .
If a consistent system has an infinite number of solutions, it is dependent
If a system not have solution, it is said to be inconsistent
we have
----> equation A
----> equation B
----> equation C
substitute equation A and equation B in equation C

Solve for z

The solution is the point (5,6,11)
The system has only one solution
therefore
Is a consistent independent system