Question

100 POINTS !!!PLEASE HELP I NEED TO PASS THIS !!! WILL MARK BRANLIEST FOR THE BEST ANSWER Task 1 Nonlinear Systems of Equations Create a system of equations that includes one linear equation and one quadratic equation. Part 1. Show all work in solving your system of equations algebraically. Part 2. Graph your system of equations and show the solution graphically to verify your solution. Task 2 Polynomial Identities Part 1. Pick a two-digit number greater than 25. Rewrite your two-digit number as a difference of two numbers. Show how to use the identity (x − y)2 = x2 − 2xy + y2 to square your number without using a calculator. Part 2. Choose two values, a and b, each between 8 and 15. Show how to use the identity a3 + b3 = (a + b)(a2 − ab + b2) to calculate the sum of the cubes of your numbers without using a calculator.

Answer 1

Step-by-step explanation:

Create a system of equations that includes one linear equation and one quadratic equation.

Part 1. Show all work to solving your system of equations algebraically.

Part 2. Graph your system of equations, and show the solution graphically to verify your solution.

y = x^2 + 3x + 5

y = x + 13

solution:

x^2 + 3x + 5 = x + 13

x^2 + 2x -8 = 0

(x+4)(x-2) = 0

x = -4 or x = 2

if x = -4, y = 9

if x = 2 , y = 15

hope this helps