Percy solved the equation x2 + 7x + 12 = 12. his work is shown below. is percy correct? explain. 1. (x + 3)(x + 4) = 12 2. x + 3 = 12 or x + 4 = 12 3. x = 9 or x = 8

Sample Response: Percy is not correct because he applied the zero product property to a factored expression that was not equal to 0. He should have subtracted 12 from both sides to get x2 + 7x = 0 before factoring. The correct solutions are 0 and -7.

Percy did the wrong factorization. The correct solution of the given quadratic equation is 0 and -7 and this can be determined by using the factorization method.

Given :

Quadratic Equation -

The following steps can be used to evaluate the given quadratic equation :

Step 1 - Write the equation.

Step 2 -  Subtract 12 from both sides in the above equation.

Step 3 - Now, factorize the above equation.

Percy did the wrong factorization. The correct solution of the given quadratic equation is 0 and -7.

For more information, refer to the link given below:

link

step-by-step explanation:

in which figure is point g a centroid

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%