Anand needs to hire a plumber. He's considering a plumber that charges an initial fee of \( \$ 65 \) along with an hourly rate of \( \$ 28 \). The plumber only charges for a whole number of hours. Anand would like to spend no more than \( \$ 250 \), and he wonders how many hours of work he can afford. Let \( H \) represent the whole number of hours that the plumber works. 1) Which inequality describes this scenarm? Choose 1 answer: A \( 28+65 H \leq 250 \) B \( 28+65 H \geq 250 \) C \( 65+28 H \leq 250 \) (D) \( 65+28 H \geq 250 \) 2) What is the largest whole number of hours that Anand can afford? hours

* 1 punto (2x \( \left.x^{2} y-3 x y z+z^{3}\right)-\left(x^{2} y-4 x y z-2 z^{3}\right)+\left(3 x y^{2} z-y^{3}+z^{2}\right) \) a) \( x^{2} y+x y^{2} z-7 x y z-y^{3}+3 z^{2}+3 z^{3} \) b) \( x^{2} y+3 x y^{2} z+y^{3}-7 x y z+3 z^{2}+z^{3} \) c) \( x^{2} y+3 x y^{2} z-y^{3}+x y z+3 z^{2}+3 z^{3} \) d) \( 3 x^{2} y+3 x y^{2} z-y^{3}-7 x y z+3 z^{2}+3 z^{3} \)

2. La forma binómica del valor de \( z \) que satisface \( \frac{z}{i}+\frac{3 z-3 i}{1-i}=2-4 i \), es:

Question If using the method of completing the square to solve the quadratic equation \( x^{2}+20 x+28=0 \), which number would have to be added to "complete the square"?

\( \left(2 x^{2} y-3 z\right)\left(x^{3} z+4 y^{2}\right) \) a) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z y^{2} \) b) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 z^{2} y \) c) \( 2 x^{5} y z-8 x^{2} y^{3}+3 x^{3} z^{2}-12 z^{2} y \) d) \( 2 x^{5} y z+8 x^{2} y^{3}-3 x^{3} z^{2}-12 x^{2} z \)

Question ( Watch Video Show Examples Solve the following quadratic equation for all values of \( x \) in simplest form. \[ 2\left(x^{2}-6\right)-1=-5 \]