Factor the following:
12 x^4 - 42 x^3 - 90 x^2
Factor 6 x^2 out of 12 x^4 - 42 x^3 - 90 x^2:
6 x^2 (2 x^2 - 7 x - 15)
Factor the quadratic 2 x^2 - 7 x - 15. The coefficient of x^2 is 2 and the constant term is -15. The product of 2 and -15 is -30. The factors of -30 which sum to -7 are 3 and -10. So 2 x^2 - 7 x - 15 = 2 x^2 - 10 x + 3 x - 15 = x (2 x + 3) - 5 (2 x + 3):
6 x^2 x (2 x + 3) - 5 (2 x + 3)
Factor 2 x + 3 from x (2 x + 3) - 5 (2 x + 3):
Answer: 6 x^2 (2 x + 3) (x - 5)
Answer:
(a) yes it does
(b) the rate is constant because the rate of change (slope) is the same throughout the function.
(c) The rate, or rate of change, is -1/2.
y1 - y2/x1-x2
4 - 2/3 - 9
2/-6
-1/2
A) K=1/2C-3
K+C=18
Hope this helps! Have a great day :)
Mean is average. Multiply total books by the mean to find the total cost:
5x 10 = $50 total.
Subtract the highest and lowest prices to find the total of the remaining 3 books.
50 - 15-6 = 29
The median price was 8, this is the middle number, subtract 8 from 29 to get the cost of the last 2 books:
29-8 =21
Now you need a price lower than the median but higher than the lowest cost so that has to be 7
Subtract 7 from 21 to get the cost of the last book 21-7 = 14
The price of the remaining books is $7 and $14