Answer:
The equation is an differential equation of second order.
The dependent variable is x, while t is the independent variable.
Step-by-step explanation:
The order of the equation depends on the greatest grade of the derivative, in this case it's the second derivative (x'')
Since x is a function of t, we would have that t is the independent variable while x is the dependent variable.
Answer:
The equation that represents the number of tickets that Josiah can buy with $45.50
3 + 8.50x = 45.50
The number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
Step-by-step explanation:
Let the number of tickets be represented by x
Tickets are $8.50 plus he must play Fangalingo a $3 transaction fee for purchasing the tickets online.
The equation that represents the number of tickets that Josiah can buy with $45.50
$3 + $8.50 × x = $45.50
3 + 8.50x = 45.50
Solving further for x
3 + 8.50x = 45.50
8.50x = 45.50 - 3
8.50x = 42.50
x = 42.50/8.50
x = 5
Hence, the number of number of tickets that Josiah can buy with $45.50 is 5 ticketa
$2,960 each. because $3,000- $40=2,960
Answer:
Let's use the Pythagorean theorem!! I think there are two correct answers, right?
Answer:
Step-by-step explanation:
Let 
Subbing in:

a = 9, b = -2, c = -7
The product of a and c is the aboslute value of -63, so a*c = 63. We need 2 factors of 63 that will add to give us -2. The factors of 63 are {1, 63}, (3, 21}, {7, 9}. It looks like the combination of -9 and +7 will work because -9 + 7 = -2. Plug in accordingly:

Group together in groups of 2:

Now factor out what's common within each set of parenthesis:

We know this combination "works" because the terms inside the parenthesis are identical. We can now factor those out and what's left goes together in another set of parenthesis:

Remember that 
so we sub back in and continue to factor. This was originally a fourth degree polynomial; that means we have 4 solutions.

The first two solutions are found withing the first set of parenthesis and the second two are found in other set of parenthesis. Factoring
gives us that x = 1 and -1. The other set is a bit more tricky. If
then
and

You cannot take the square root of a negative number without allowing for the imaginary component, i, so we do that:
±
which will simplify down to
±
Those are the 4 solutions to the quartic equation.