Given inequality: 2y−x ≤ −6
Option-1 : (-3,0)
2×0 - (-3) = 0 + 3 = 3 > -6
Not satisfied
Option-2 : (6,1)
2×1 - 6 = 2 - 6 = -4 > -6
Not satisfied
Option-3 : (1, -4)
2×(-4) - 1 = -8 - 1 = -9 < -6
Satisfied.
Thus, (1, -4) is a solution.
Option-4 : (0, -3)
2×(-3) - 0 = -6 - 0 = -6 = -6
Satisfied.
Thus, (0, -3) is a solution.
Option-5 : (2, -2)
2×(-2) - 2 = -4 - 2 = -6 = -6
Satisfied.
Thus, (2, -2) is a solution.
Solutions are: (1, -4), (0, -3) , (2, -2)
3/4=15
let,
total mass is x
x=4×15/3
=20 kg
so, total mass = 20 kg
=2×20/5
=2×4
=8 kg
Hope this helps!
Answer:
D. Use the Distributive Property. You clear the parentheses and then solve the two-step equation.
Step-by-step explanation:
Given problem;
2(w − 3) = 5
To solve this problem:
Use the distributive property to clear the parentheses;
2w - 6 = 5
Then, collect like terms, add 6 to both sides;
2w = 5 + 6
2w = 11
Now divide both terms by 2
w =
Answer:
2.5 km
Step-by-step explanation:
First, find the area of the region:
- A circular region has a population of about 15,500 people;
- A population density of about 775 people per square kilometer.
So, there are
square kilometers.
Now, let x kilometers be the radius of the circular region, then

To the nearest tenth this is 2.5 km.
Answer:
Domain is ![[0,18]](https://tex.z-dn.net/?f=%5B0%2C18%5D)
Average rate of change of bacteria per minute is -3333.33.
Step-by-step explanation:
Domain is the possible values of
.
From the graph, it's clear that the
values ranges from 0 to 18 as the end points of the graph are
and 
So, domain of the function is
.
Now, average rate of change is negative as there is bacteria decay.
Average rate of change is given as the negative ratio of y intercept to the x intercept.
Here, x-intercept is 18 and y-intercept is 60000.
So, average rate of change is given as,

Therefore, average rate of change of bacteria per minute is -3333.33.