Well, this problem is best solved by setting up a system of two linear equations.
A linear equation can be defined
y=mx+b
where
b=initial value (when x=0), and
m=rate of increase or decrease.
In the given example, the x-axis represents hour, and the y-axis, number of cells.
Chemical #1
initial value = b = 12000 cells
rate = m = -4000 / hr
The equation is therefore
y1=-4000x+12000......................(1)
Similarly, for chemical #2
initial value = b = 6000 cells
rate = m = -3000 / hr
The equation is therefore
y2=-3000x+6000 .......................(2)
The time the two will have an equal sized colony would represent the solution of the system of equations (1) and (2), i.e. when y1=y2
which means
-4000x+12000 = -3000x+6000
transpose and solve for x
4000x-3000x = 12000-6000
1000x=6000
x=6 hours.
At 6 hours from the start,
y=-4000x+12000 = -4000*6+12000 = -24000+12000 = -12000 cells
So the solution is x=6, y=-12000, or (6,-12000)
Physical interpretation
Since cells cannot have a negative number, the two are actually equal before six hours, when they are both zero.
Case 1: y=0 when x=3
Case 2: y=0 when x=2
Therefore, after three hours, both trials will have zero cells.
You have to judge whether to give the mathematical solution (x=6,y=-12000) or the physical interpretation (x=3, y=0) as the answer.
Answer:
50 m^2
Step-by-step explanation:
3cm = 5 m
6 cm = 10 m
5 x 10 = 50 m^2
If my answer is incorrect, pls correct me!
If you like my answer and explanation, mark me as brainliest!
-Chetan K
Answer:
I think it's 3.5, but this information is super vague, so try to uhh scroll down to see if there's more information
Step-by-step explanation:
69.75
I hope this helped you out!!
Answer: Solve for X
4x−5y<1
Step-by-step explanation:
step 1 add 5y to each side
4x−5y+5y<1+5y
4x<5y+1
Step 2: Divide both sides by 4.
4x4<5y+14
x<54y+14
Answer:
x<54y+14
Let's solve for x.
12y−x<3
Step 1: Add (-1)/2y to both sides.
−x+12y+−12y<3+−12y
−x<−12y+3
Step 2: Divide both sides by -1.
−x−1<−12y+3−1
x>12y−3
Answer:
x>12y−3
now just graph 4x-5y<1 shows the given inequalities in slope -intercep form.
