Hi there! Marcie made a mistake in the last step of the solving process.
Let's solve this problem step by step!
−2(x − 5) − 12 ≤ 4 + 6(x + 3)
First work out the parenthesis, which can for instance be done using rainbow method.
−2x + 10 − 12 ≤ 4 + 6x + 18
The parenthesis are worked out correctly. Remember that multiplying a negative by a negative gives you a positive.
Now we can collect the terms.
−2x − 2 ≤ 6x + 22
The terms are collected correctly.
Next up is subtracting 6x from both sides and adding 2 to both sides of the inequality.
−8x ≤ 24
This step is also correct.
Finally we must divide both sides of the inequality by -8 to find our answer. Be aware of the fact that the sign flips when dividing by a negative!
x ≤ −3
Mistake! Marcie forgot to flip the sign. Instead the answer should be
~ Hope this helps you!
Answer:
Step-by-step explanation:
One formula for the reproduction of bacteria is
Data:
N = 2
N₀ = 1
t = 15 min
Calculation:
Well,
First find the square root of 81 which is 9
Then Solve!
9 * 3 = 27
27 - 5 = 22
So, the answer would be 22!
Hope I helped!
Answer:
Equation of line shown in the graph is : x= - 2
Step-by-step explanation:
Given,
a line passing through two points ( -2,2) and ( -2,-3).
We need to use two pint line equation:
y - y1 = (y2 - y1 / x2 - x1 ) (x - x1 )
Here , x1 = -2 ,x2 = -2 , y1 = 2 and y2 = -3
So we can plug corresponding values in the line equation.
We get: y - 2 = {(-3 - 2) / ( -2 - (-2))} (x - (-2))
y - 2 = (-5 /0 ) (x + 2)
0 * (y - 2) = -5 (x+2)
0 = -5x - 10
10 = -5x
x = -10/5 = -2
Hence x= -2 is the equation of line shown in the graph.
Answer:
1100
Step-by-step explanation:
After rounding,
3200 - 2100 = 1100