-2x + 3 > 3(2x - 1)
the inequality sign > means 'greater than'.
First simplify the right side of the equation by distributing the 3 over the parentheses:-
-2x + 3 > 6x - 3
Now add -6x to both sides of the inequality which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6
The next step is to divide both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes less than (<):-
-8x / -8 < -6/-8
x < 3/4 is your answer.
Answer:
Vertex (2,2)
y- Intercept is 10
On problems like this, use Desmos Graphing. It helps a lot.
Use the slope formula to find the slope of a line given the coordinates of two points on the line. The slope formula is m=(y2-y1)/(x2-x1), or the change in the y values over the change in the x values.
If your solving for x, you need to isolate/get the variable "x" by itself in the inequality:
-24 ≤ 3x - 9 First add 9 on both sides
-24 + 9 ≤ 3x - 9 + 9
-15 ≤ 3x Then divide 3 on both sides to get "x" by itself
-5 ≤ x [or x ≥ -5 if you prefer "x" to be on the left side]
Answer
It will take (t) = 24 hours to reach 300 .
Step by step explanation
It doubles every 15 hours. initial bacteria = 100
We need to find how long it take for the bacteria cells to increase to 300.
300 = 100(2)^t/15
300/100 = 2^t/15
3 = 2^t/5
Taking "ln" both sides, we get
ln(3) = t/15 ln(2)
t/15 = ln(3)/ln(2)
t/15 = 1.585
t = 1.585 * 15
t = 23.78 hours
t = 24 hours to nearest whole hours.
Thank you.
