Dexter has a gift card for $20.00 to an electronics store. he also has a coupon for 25% off his entire purchase, so he will be paying 75% of the total cost. he plans to buy a video game for $10.00 and batteries for $2.00. select the equation that represents how much money will be left on his gift card after his purchases if x represents his remaining balance.

The linear equation that represent the situation is

The remaining balance on his gift card is

Step-by-step explanation:

Let

x------> represents the remaining balance

we know that

The linear equation that represent the situation is equal to

Solve

225x²+4=0

225x²=0-4

225x²=-4

x²=-4/225

x=±√-4/225

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: