- 4x + 9y = 9
-8x + 10y = 10

y = 1, x = 0

Step-by-step explanation:

multiply -4x +9y = 9 by -2 to get 8x -18y = -18

combine the two equations to get -8y = -8

divide both sides by -8 to get y = 1

plug in 1 as the y into one of the equations and solve to get x = 0

(0,1)

x = 0

y = 1

Step-by-step explanation:

(-4x + 9y = 9)-8

(-8x + 10y = 10)4

32x - 72y = -72

-32x + 40y = 40

-32y = -32

y= -32/-32

y=1

-4x + 9(1) = 9

-4x + 9 = 9

-4x = -9 + 9

-4x = 0

x = 0/-4

x = 0

the mistake in the pattern is that :

b. the decimal point was moved one too many place values each time

the correct pattern could be made by :

b. moving the decimal point to the right the same numbers of place values as the exponents

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: