Help meeeeee, i don’t understand
1 answer:
Answer:
To graph the equation, you need to find the slope and y-intercept.
y = mx + b
⬑<em>[slope-intercept formula; m is the slope, and b is the y-intercept]</em>
y = 4x + −1
⬑<em>[given equation before being simplified]</em>
y = 4x − 1
⬑<em>[given equation]</em>
║m = 4
║b = (0, −1)
Proof:
m = =
x₁ = 0
x₂ = 1
y₁ = −1
y₂ = 3
m =
║m = 4
║b = (0, −1)
<em>[the value for x₁ and y₁ equals the </em><em>y-intercept: (0, </em>−<em>1)</em><em>]</em>
Graph:
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Answer:
4989600
Step-by-step explanation:
The given word is MATHEMATICS
Number of letters in the given word is 11
there are 2 M's, 2 A's and 2 T's
the given word is arranged in 11! ways
three letters are repeating, so we divide by repeating occurrences
number of different arrangements =
= 4989600
At any time (min), the volume of solution in the tank is
If is the amount of salt in the tank at any time
, then the solution has a concentration of
.
The net rate of change of the amount of salt in the solution, , is the difference between the amount flowing in and the amount getting pumped out:
Dropping the units and simplifying, we get the linear ODE
Multiplying both sides by allows us to identify the left side as a derivative of a product:
Integrate and divide both sides by to get
The tanks starts off with 30 lb of salt, so and we can solve for
to get a particular solution of