Plz ! i rlly need this question ! leeann created this solved this proof. she wants to know if she solved it correctly. after looking at the proof, decide whether she solved the proof correctly. if she did not explain why it is incorrect and correct it. given : 7y-84=2y+61 prove: y= 29 statements reasons 7y-84=2y+61 given 5y - 84 = 61 subtraction property of equality 5y = 145 subtraction property of equality y = 29 division property of equality

she is right that y = 29, but step three should be addition property of equality.

work: let's see how she worked to isolate y. she started by subtracting 2y from both sides, so so far she is correct. after that, she added 84 to both sides, and again that is a correct step, but her proof is wrong, since you are adding and not subtracting 84, it's the addition property of equality. lastly, she divided 145 by  and correctly got 29. so yes, she is correct.

x = ±sqrt(10)

step-by-step explanation:

5 - 2x² = -15

subtract 5 from each side

5-5 - 2x² = -15-5

-2x^2   = -20

divide by -2 on each side

-2x^2   /-2= -20/-2

x^2 =10

take the square root on each side

sqrt(x^2 )=±sqrt(10)

x = ±sqrt(10)

check:

5 - 2x² = -15

+sqrt(10)

5 - 2(sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

-sqrt(10)

5 - 2(-sqrt(10))² = -15

5 -2(10) = -15

5 -20 = -15

-15 = -15

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: