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
Well when it comes to absolute value remember that whatever number is inside the two straight lines will always come out as a positive.
a) [54] would still be 54
b)-[-7 3/5] so first you get the absolute value which comes out to 7 3/5 but because there is a negative sign out side of the two parallel lines, the answer would be -7 3/5
c)[3]-[-1] the absolute value of 3 is 3 and the absolute value of -1 is 1. So the expression would be 3-1 which comes out to 2
d)[2.2-5.13] 2.2-5.13 would equal -2.93 but since it is in the absolute value, the answer would come out as 2.93
Hope this helps!
Answer:
I love you 6.78
Step-by-step explanation:
You have to love yourself
- 5x
-6 x 45
6.78
Answer:
Answer 1. 5 Answer 2. 60 Answer 3. 37
Step-by-step explanation:
Answer:
1 i(sqrt5)
2 7i
3 -9i
4 -64i
5 -5i(sqrt2)
6 -4i(sqrt3)
7 10i(sqrt3)
8 2i(sqrt2)
9 3i(sqrt7)
10 -30i(sqrt2)
Step-by-step explanation:
i is the square root of (-1). We can simplify each one as such.
