A rational number is a number that can be written as a ratio. That means it can be written as a fraction, in which both the numerator (the number on top) and the denominator (the number on the bottom) are whole numbers. The number 8<span> is a rational number because it can be written as the fraction </span>8/1. <span>In mathematics, a </span>rational number<span> is any </span>number<span> that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a </span>rational number. ... A real number<span> that is not </span>rational<span> is called irrational.</span>
Answer:
B
Step-by-step explanation:
I'll assume the ODE is

Solve the homogeneous ODE,

The characteristic equation

has roots at
and
. Then the characteristic solution is

For nonhomogeneous ODE (1),

consider the ansatz particular solution

Substituting this into (1) gives

For the nonhomogeneous ODE (2),

take the ansatz

Substitute (2) into the ODE to get

Lastly, for the nonhomogeneous ODE (3)

take the ansatz

and solve for
.

Then the general solution to the ODE is

Answer: The number is 1.
Step-by-step explanation:
create the formula from the problem
4x -7 = 1
move the seven to the other side by adding seven to both sides
4x (+7) -7 = 1 (+7)
4x = 8
then to get the x by itself, divide both sides by 4
4x/4 = 8/4
x = 2
You can check your work by plugging the x back into the original problem
4 (2) -7 = 1
8 -7 = 1
1 = 1 (this means it is correct)
77.5d + .14m
m = 425
.14 * 425 = 59.5
77.5d + 59.5 ≤ 230
77.5d ≤ 170.5
d ≤ 170.5/77.5
d ≤ 2.2
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