Algebra Answers

Consider the equation "\\frac{x}{2+i}+\\frac{iy}{2-i}=\\frac{3}{1-2i}" , where x and y are real numbers. Which of the following are correct?

1. x=−4 and y =-5
2. x=5 and y=4
3. x and y satisfy the pair of equations  2x−y=3 and -x+2y=6
4. x=4 and y=5
5. x and y satisfy the pair of equations 2x+y=3 and x-2y=-6

You are given that "1+i"  is a root of the equation "z^{3}+2z^{2}+az+b=0" , where a and b are real numbers. Which of the following are true?

1. "a=\u22126" and "b=8"
2. "z=4"  is also a root of the equation.
3. "z=\u22121\u2212i"  is also a root of the equation.
4. "a=8" and "b=-6"
5. "z=\u22124"  is also a root of the equation.

a ball is dropped from a height of 12 m. after each bounce it rises to 85% of its previous height.

a) determine the height of the ball after the 8th bounce

b) determine the total vertical distance the ball travels when it hits the ground for the 6th time

for the function f(x)=x^2+3+2, what is f(x+h)=

Describe verbally how to solve y=mx+c. What assumptions have you made about the value of?

A factory has a conveyor​ belt, Conveyor​ 1, which brings the supplies into the factory. The conveyor belt rises 8 ft for every 4 ft it runs. The factory has another conveyor​ belt, Conveyor​ 2, which sends the products out of the factory. This conveyor belt descends 21 ft for every 7 ft it runs. Find the slope of each conveyor belt. Which conveyor belt is​ steeper?

Amanda needs 2.5 meters of cloth for her project. How many centimeters of cloth does she needs

J(t) = 1/t²-2t+1

Locate and plot the given number on the number line. Make sure to use a ruler in illustrating the number line.

the square root of 18

the square root of 98