9514 1404 393
Answer:
(x, y) = (3, 12)
Step-by-step explanation:
Using the given variable definitions, we can write the equations ...
y = x + 9
2(x +y) = 30
__
Solving the second equation for y, we have ...
y = 15 -x
Substituting this into the first equation gives ...
15 -x = x +9
6 = 2x . . . . . . . . . add x-9
3 = x . . . . . . . . . . divide by 2
y = 3+9 = 12 . . . . substitute into the first equation
The numbers are (x, y) = (3, 12).
2.74 liters since 1000mL is a liter.
Answer:
V = 300x + -70x2 + 4x3
Step-by-step explanation:
Simplifying
V = (20 + -2x)(15 + -2x)(x)
Reorder the terms for easier multiplication:
V = x(20 + -2x)(15 + -2x)
Multiply (20 + -2x) * (15 + -2x)
V = x(20(15 + -2x) + -2x * (15 + -2x))
V = x((15 * 20 + -2x * 20) + -2x * (15 + -2x))
V = x((300 + -40x) + -2x * (15 + -2x))
V = x(300 + -40x + (15 * -2x + -2x * -2x))
V = x(300 + -40x + (-30x + 4x2))
Combine like terms: -40x + -30x = -70x
V = x(300 + -70x + 4x2)
V = (300 * x + -70x * x + 4x2 * x)
V = (300x + -70x2 + 4x3)
Solving
V = 300x + -70x2 + 4x3
Solving for variable 'V'.
Move all terms containing V to the left, all other terms to the right.
Simplifying
V = 300x + -70x2 + 4x3
