Answer:
Step-by-step explanation:
3x +2y = 13 -----------------(i)
x + 2y = 7 ----------------(ii)
Multiply the equation (ii) by (-1) and then add.
(i) 3x + 2y = 13
(ii)*(-1) <u>-x - 2y = -7 </u> {Now, add and y will be eliminated}
2x = 6
x = 6/2
x = 3
Plug in x = 3 in equation (i)
3*3 + 2y = 13
9 + 2y = 13
2y= 13 - 9
2y = 4
y = 4/2
y = 2
1,099= 1,100
HOPE THIS HELPS!!!
Answer:
2√(17) or about 8.2462 units.
Step-by-step explanation:
We want to determine the distance between the two points (-10, -7) and (-8, 1).
We can use the distance formula. Recall that:

Substitute and evaluate:

Hence, the distance between (-10, -7) and (-8, 1) is 2√(17) units or about 8.2462 units.
The correct equation should look something like this:
y= -1x - 2
Consider the equation for a line:
y = mx + b,
Where ‘m’ is the slope
Where ‘b’ is the y-intercept.
From there you can plug in your known values for ‘m’ and ‘b’, and get the equation above. If you are still not convinced, I suggest you graph the function and observe its slope and y-intercept.
Hope this helps!
Answer:
a) The implied differential equation is 
b) The general equation is 
c) The particular equation is 
d) The population when t = 5, N(5) = 697 = 700( to the nearest 50)
Step-by-step explanation:
The rate of change of N(t) can be written as dN/dt
According to the question, 

Integrating both sides of the equation

When t = 0, N = 400

When t = 3, N = 650

The equation for the population becomes:

At t = 5, the population becomes:

N(5) = 700 ( to the nearest 50)