ALGEBRA NATION Question 5 of 10 < Previous Question Next Question > Rewrite the expression below. -2a(a + b – 5) + 3(-5a + 2b) + b(6a + b – 8)

–2a² + 4ab – 5a – 2b + b²

Solution:

Given data:

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

To solve this expression:

Multiply each number or variable into the bracket.

–2a(a + b – 5) + 3(–5a + 2b) + b(6a + b – 8)

        = –2a² – 2ab + 10a – 15a + 6b + 6ab + b² – 8b

Arrange like terms together.      

       = –2a² – 2ab + 6ab + 10a – 15a + 6b – 8b + b²

       = –2a² + 4ab – 5a – 2b + b²

Hence the solution is  –2a² + 4ab – 5a – 2b + b².

the data of the detroit pistons in numerical order from least to greatest is 0.30, 0.37, 0.55, 0.62, 0.69, 0.72, 0.73, 0.75, 0.77, 0.78, 0.80, 0.81, 0.81, 0.83, 0.84, 0.89

the data of the miami heat in numerical order from least to greatest is 0.50, 0.50, 0.56, 0.57, 0.67, 0.72, 0.72, 0.72, 0.75, 0.75, 0.76, 0.81, 0.82, 0.90, 1.00, 1.00

the detroit pistons median : 1.52

the miami heat median: 1.47

the iqr of this data is 0.05

required rate of return = 0.166 = 16.6%

step-by-step explanation:

under the capital asset pricing model (capm), the required or expected rate of return for a particular security or asset is given using the formula:

required rate of return = risk-free rate + beta*(market risk premium)

we are given that;

risk-free rate = 4% = 0.04

beta = 1.4

market risk premium = 9% = 0.09

we simply plug these values into the above formula;

required rate of return = 0.04 + 1.4*(0.09)

required rate of return = 0.04 + 0.126

required rate of return = 0.166 = 16.6%