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
$540
Step-by-step explanation:
$150 × 4 = $600
$600 ÷ 10 = $60
$600 - $60 = $540
The table of the number of customers illustrates two different patterns
Deli should expect 90 customers to serve during week 8
<h3>How to determine the number of customers</h3>
From the table, the even number of week increases by 10, while the odd number of weeks reduces by 5.
At week 6, the number of customers is 80.
So, the number of customers at week 8 is:
Week 8 = Week 6 + 10
This gives
Week 8 = 80 + 10
Week 8 = 90
Hence, deli should expect 90 customers to serve during week 8
Read more about sequence and patterns at:
brainly.com/question/15590116
There's 12 months in a year so if the value decreases by 6% each year that would be 6 ÷ 12 which is 0.5%. Therefore the decay each month is -0.5%.
