what is the first step in writing f(x)=6x^2+5-42x in vertex form? a) factor 6 out of each term. b) factor 6 out of the first two terms. c) write the function in standard form. d) write the trinomial as a binomial squared.

Answer c): write the function in standard form

Step-by-step explanation:

To start with, it is important to write the polynomial in standard form, so as to have the two terms with the dependence in x together:

then you extract 6 as a common factor of just the terms with the variable x:

Then proceed to complete the square in the expression inside the parenthesis:

Then, the function can be finally be written as:

in vertex form

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

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step-by-step explanation:

because he is a long term investor