Answer:
y = -2x - 1
Step-by-step explanation:
Formula is y = mx + b
m = slope
slope = change in y/change in x = (-1 - 3) / (0 - -2) = -4/2 = -2
So equation is now y = -2x + b
To find b, substitute any value from the table into the equation. Let's use (-2,3)
y = -2x + b
3 = -2(-2) + b
3 = 4 + b
-1 = b
So equation is y = -2x - 1
Answer:
50 miles per hour
Step-by-step explanation:
500 miles in 10 hours
= 500/10
= 50 miles per hour
Answer:
42 ft
Step-by-step explanation:
2(L + W ) = P
2 (12 + 9) = P
2 (21) = P
42 = P
P = 42
Answer:
2x^2+2x
Step-by-step explanation:
The large squares are x^2.
The rectangles are x
The small squares are 1
We have 2 large squares = 2x^2
and 2 rectangles = 2x
2x^2+2x
Let
= amount of salt (in pounds) in the tank at time
(in minutes). Then
.
Salt flows in at a rate

and flows out at a rate

where 4 quarts = 1 gallon so 13 quarts = 3.25 gallon.
Then the net rate of salt flow is given by the differential equation

which I'll solve with the integrating factor method.



Integrate both sides. By the fundamental theorem of calculus,





After 1 hour = 60 minutes, the tank will contain

pounds of salt.