Answer:
Step-by-step explanation:
1.The expression given is in division so when changing to multiplication the fraction is reversed.
2.Using algebra identity 
.
3. Taking the common factor 5 out.
4. Finally cancelling the like terms from the numerator and denominator.
The parent function for quadratic equations is as followed:
where a and b represent vertical and horizontal stretches, respectively, h is the horizontal shift, and k is the vertical shift.
So going from
to
,
We are shifting 1 to the left and 6 up.
The horizontal shift is in the negative direction because in the equation, h=-1 because:
The answer is A.
Answer:
12x⁶+24x⁵-180x⁴/ 30x³+240x²+450x
Step-by-step explanation:
(x-3)(x+5)=x²+2x-15
12x⁴(x²+2x-15)= 12x⁶+24x⁵-180x⁴
(x+3)(x+5)=x²+8x+15
30x(x²+8x+15)= 30x³+240x²+450x
Answer:
Radius of the convergence is R = 
and,
The Interval of convergence is 
Step-by-step explanation:
Given function : Σ(21x)^k
Now,
Using the ratio test, we have
R = 
or
R = 
or
R = 
now,
for convergence R|x| < 1
Therefore,
< 1
or
and,
Radius of the convergence is R =
and,
The Interval of convergence is
First simplify the section in the parenthesis.
-1/6 + 2/3(8 1/4) + -1/2
Then multiply 2/3 by 8 1/4.
-1/6 + 5 1/2 + -1/2
Add -1/2 to 5 1/2.
-1/6 + 5
Add 5 to -1/6.
4 5/6 is the fully simplified answer.
Hope this helps!
