Solve this system of equations algebraically: y + x = 19 – x2 x + y = 80 1. Isolate one variable in the system of equations. y = –x2 – x + 19 y = –x + 80 2. Use substitution to create a one-variable equation. –x + 80 = –x2 – x + 19 3. Solve to determine the unknown variable in the equation. The system has real number solution(s).

The system has 0 real number solutions

Step-by-step explanation:

Just answered the question on edg

b: |12 – x| ≤ 0.25

step-by-step explanation:      

let x be the possible lengths in inches, of the ribbons jaime cut.

we have been given that jaime is cutting strips of ribbon for a project. he tries to cut each piece to be 12 inches long, but sometimes he cuts it too long or too short by as much as 0.25 inch.  

we can represent this information in an inequality as:

by the definition of absolute value function we will get,

upon combining our inequalities we will get,

therefore, the inequality   describes all the possible lengths (x), in inches, of the ribbons jaime cut.

step-by-step explanation:

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).