Answer:
9, 12, -5
Step-by-step explanation:
Let us move all the terms to one side.
9x^2+12x-5=0
Therefore, using the quad formula of ax^2+by+c=0,
a=9
b=12
c=-5
Hope this helps! :)
If these are terms of a geometric sequence, they have a common ratio. That is, ...
... (k -1)/(2(1 -k)) = (k +8)/(k -1)
... (k -1)² = 2(1 -k)(k +8) . . . . . multiply by the product of the denominators.
... k² -2k +1 = -2k² -14k +16 . . . eliminate parentheses
... 3k² +12k -15 = 0 . . . . . . . . put in standard form (subtract the right side)
... 3(k +5)(k -1) = 0 . . . . . . . . . factor
Possible values of k are ... -5, +1. The solution k=1 is extraneous, as it makes the first two terms 0 and the third term 8. (It doesn't work.)
The value of k is -5.
_____
The three terms are 12, -6, 3. The common ratio is -1/2.
The gradient of the line is 2.5, the y-intercept is 5.
The equation representing the line is y = 2.5x + 5
Based on the concept mentioned in my previous answers to your questions, this means the shaded region is represented by y ≤ 2.5x + 5
Answer:
2 hours and 24 minutes
Step-by-step explanation:
1/6 + 1/4 = 2/12 + 3/12 = 5/12
5/12 = 1/x
5/12x = 1
5x = 12
x = 2.4
2 hours, 24 minutes
Her book was 10 days late. D = days. The equation is .25(4) + .30d = 4.00. First you multiply .25 • 4 to get 1. Then you subtract 1 from both sides and get .30d = 3. Next you divide both sides by .30 to get d = 10.
