Remove both sets of brackets.
18 - 9x - 8 + 12x > 9 Collect like terms on the left.
12x - 9x + 18 - 8 > 9
3x + 10 > 9 Subtract 10 from both sides.
3x > 9 - 10
3x > - 1 divide by 3
x > -1/3
Notice what the graph is telling you. A blue dotted line is going through x = - 1/3 or - 0.3333
Everything to the right of - 0.333 is colored blue and that means anything to the right if going to be a solution to the inequality. To confirm this for yourself, try zero and 1. Both should give larger than 9 solutions.
Be
, a rate of change is defined by the following equation:
So, the problem establishes that we need to find out two points with an average rate of -60. So, the table above shows five points. Hence, we will take two of them, say:
Therefore:
So these two points are the ones we were looking for.
Answer:
-7
Step-by-step explanation:
256 cells total
divide 24/3 = 8
it takes 3 hours to produce 2 cells starting from 1, and each cell is multiplying by 2, so 2 to the 8th power is the quickest solve.
2^8 = 256
X + y = -30
xy = 62
x + y = -30
- x - x
y = -x - 30
xy = 62
x(-x - 30) = 62
x(-x) - x(30) = 62
-x² - 30x = 62
- 62 - 62
-x² - 30x - 62 = 0
-1(x²) - 1(30x) - 1(62) = 0
-1(x² + 30x + 62) = 0
-1 -1
x² + 30x + 62 = 0
x = -(30) ± √((30)² - 4(1)(62))
2(1)
x = -30 ± √(900 - 248)
2
x = -30 ± √(652)
2
x = -30 ± 2√(163)
2
x = -15 ± √(163)
x = -15 ± 12.76
x = -15 + 12.76 or x = -15 - 12.76
x = -2.24 or x = -27.76
x + y = -30 or x + y = -30
-2.24 + y = -30 or -27.76 + y = -30
+ 2.24 + 2.24 + 27.76 + 27.76
y = -27.76 or y = -2.24
(x, y) = (-2.24, -27.76) or (x, y) = (-27.76, -2.24)
The two numbers that add up to -30 and multiply to 72 are -2.24 and -27.76.