The restriction of the given equation is 
, other than 0≤x≤2π.
What is restriction of equation?
Restriction of the equation is the value of domain where the value is limited.
Given,
taking 
common, we get
we know
we get,
and the restriction is 0≤x≤2π.
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The partial fraction decomposition is 
<h3>How to determine the decomposition?</h3>
The fraction is given as:
Split the fraction as follows:
Take the LCM
Cancel the common factors
8x + 19 = Ax - A + Bx + 8B
By comparison, we have:
Ax + Bx = 8x
-A + 8B = 19
This gives
A + B = 8
-A + 8B = 19
Add both equations
9B = 27
Divide by 9
B = 3
Substitute B = 3 in A + B = 8
A + 3 = 8
Solve for A
A = 5
So, we have:
Hence, the partial fraction decomposition is
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Answer:
Yes .The Pythagorean equation is true.
Step-by-step explanation:
yes, they can, because of the equation below :
a² = b² + c²
40² = 32² + 24²
1600 = 1024 + 576
1600 = 1600 ✓
So she earns $60 per day working, but only saves $50. To solve this equation you have to multiply $50 to each day she works. If the total has to be exactly $2,000 then you must multiply 50 x 36.4 and that equals $2,000.
Your answer should be 36.4 days.
Answer:
Step-by-step explanation:
the volume of the prism is the amount of space inside the figure.
120 cubes fit inside the prism, so the figure has a volume of 120 square unite
