<span>Simplifying
y(2x + 3y)(2x + 3y)
Multiply (2x + 3y) * (2x + 3y)
y(2x * (2x + 3y) + 3y * (2x + 3y))
y((2x * 2x + 3y * 2x) + 3y * (2x + 3y))
Reorder the terms:
y((6xy + 4x2) + 3y * (2x + 3y))
y((6xy + 4x2) + 3y * (2x + 3y))
y(6xy + 4x2 + (2x * 3y + 3y * 3y))
y(6xy + 4x2 + (6xy + 9y2))
Reorder the terms:
y(6xy + 6xy + 4x2 + 9y2)
Combine like terms: 6xy + 6xy = 12xy
y(12xy + 4x2 + 9y2)
(12xy * y + 4x2 * y + 9y2 * y)
(12xy2 + 4x2y + 9y3)</span>
Answer:
A decrease of 3.5%
Step-by-step explanation:
since 36-8 is 28, it went down a bit so it would be 3.5%
Answer:
30 degrees
Step-by-step explanation:
100+50=150
180-150=30
All triangles equal 180 degrees, so if the other angles equal 150 than the third angle equals 30 degrees.
a) If f(y) is a probability density function, then both f(y) ≥ 0 for all y in its support, and the integral of f(y) over its entire support should be 1. eˣ > 0 for all real x, so the first condition is met. We have

so both conditions are met and f(y) is indeed a PDF.
b) The probability P(Y > 4) is given by the integral,

c) The mean is given by the integral,

Integrate by parts, with


Then



< A + < B + < C = 180
13.5 + 63.9 + < C = 180
< C = 102.6