Match each quadratic equation with its roots.

x^2+58=4 x^2+47=3 2x^2+50=4 2x^2+85=7

x=±2i√11

x=±i√39

x=±3i√6

x=±i√23

We are given the 4 quadratic equations and 4 solutions. We have to match each equation with its correct solution. The step by step solution of each equation is listed below with its correct answer at the end of the solution. First we have to isolate variable(x²) on one side of the equation and then we have to take square root of both sides to get the answer.

Equation 1:

Equation 2:

Equation 3:

Equation 4:

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:

14.3

step-by-step explanation:

add all the numbers together.

9 + 12 + 15 + 16 + 17 + 17 = 86

now, divide 86 by how many numbers we have: 6.

86 / 6 = 14.3