Find the solution set of each equality if the replacement set for each variable is {-10,-9,-,9,10}. 16-19? !

QUESTION 16

The given inequality is .

We first multiply through by the least common multiple, which is to get,

This simplifies to

We expand brackets to get,

We group like terms to get,

.

We now choose the values from the replacement set

{}.

The solution set is therefore

{}

QUESTION 17

We want to solve

We multiply through by 3 to get,

This simplifies to,

We now expand brackets to get,

We group like terms to get,

We now choose the values from the replacement set

{}.

The solution set is therefore

{}

QUESTION 18

We want to solve .

We group like terms to get,

.

We simplify to get,

.

We divide through by 0.4 to get,

.

This time the complete replacement is the solution set of the inequality because all the elements satisfies  .

The solution set is

 {}

QUESTION 19

We want to solve .

We group like terms to get,

This implies that,

We divide through by 7 to get,

We can rewrite this as .

We now choose the values from the replacement set {}. The solution set is therefore

{}

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

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%