For 1-6, find the slope of the line of (-2,4) and (4,2)
1 answer:
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So we need to find the inequality, Simple!
So we only have 5 dollars. That we cannot change.
But the snadwich, however, we can change how much we buy. But this problem is asking us how many we can buy. So that is an x. So far, we have 2.25x.
Then we have to use the inequality sign 'less than or equal to' because we can buy less or equal to 5 dollars.
So the equation is
Then we solve by isolating the x. We divide 2.25 both sides then we get
So we only have 5 dollars. That we cannot change.
But the snadwich, however, we can change how much we buy. But this problem is asking us how many we can buy. So that is an x. So far, we have 2.25x.
Then we have to use the inequality sign 'less than or equal to' because we can buy less or equal to 5 dollars.
So the equation is
Then we solve by isolating the x. We divide 2.25 both sides then we get
Answer:
Step-by-step explanation:
I solved this using initial conditions and calculus, so I hope that's what you are doing in math. It's actually NOT calculus, just a concept that is taught in calculus.
The initial condition formula we need is
Filling in our formula with the 2 conditions we are given:
and
With those 2 equations, we have 2 unknowns, the C (initial value) and the k (the constant). We know that the initial value (or starting temp) for both conditions is the same, so we solve for C in one equation, sub it into the other equation and solve for k. If
then
which, by exponential rules is the same as
Since that value of C is the same as the value of C in the other equation, we sub it in:
Divide both sides by 65 and use the rules of exponents again to get
which simplifies down to
Take the natural log of both sides to get
Do the log thing on your calculator to get
.2682639866 = 5k and divide both sides by 5 to find k:
k = .0536527973
Now that we have k, we sub THAT value in to one of the original equations to find C:
which simplifies down to
Raise e to that power on your calculator to get
65 = C(1.710059171) and divide to solve for C:
C = 38.01038064
Now sub in k and C to the final problem when t = 23:
which simplifies a bit to
Raise e to that power on your calculator to get
y = 38.01038064(3.434991111) and
finally, the temp at 23 minutes is
130.565