Answer:
7. (4x +10)/(x^3 +3x^2 -16x -48)
9. -320/93
Step-by-step explanation:
7. As with adding any fractions, first you find a common denominator. When the fractions are rational expressions, it often helps to factor the denominators.
6/(x^2 -16) -2/(x^2 -x -12) = 6/((x -4)(x +4)) -2/((x -4)(x +3))
= (6(x +3) -2(x +4))/((x -4)(x +3)(x +4)) . . . . . using a common denominator
= (6x +18 -2x -8)/((x -4)(x +3)(x +4))
= (4x +10)/((x^2 -16)(x +3))
= (4x +10)/(x^3 +3x^2 -16x -48)
_____
9. First you simplify the denominator:
2/25 -5/16 = (2·16 -5·25)/(25·16) = -93/400
Then you perform the division. This can be done by multiplying by the inverse of the denominator.
(4/5)/(2/5 -5/16) = (4/5)·(-400/93) = -320/93
By first principles, the derivative is
Use the binomial theorem to expand the numerator:
where
The first term is eliminated, and the limit is
A power of 
in every term of the numerator cancels with in the denominator:
Finally, each term containing approaches 0 as 
, and the derivative is
Answer:
A: 5
B: 32
C: 3
D; 14
C: 0.333
Step-by-step explanation:
Answer:
r=7
Step-by-step explanation:
74000=28000(1+r/12)^12(14)
divide 74000 by 28000, and cancel out 28000.
1.00580=1+r/12
(100) .06962=r
r = 6.96198
the 6 after the 9 rounds 9 to 0, which rounds the 6 to 7
r=7
Answer:
hx-h2+6
Step-by-step explanation:
First solve the parentheses, do h*x - 2h, then add the +6.
Hope I helped! :D
