For the equations given below, which statement is true? -2x=14 6x=-42 a. the equations do not have the same solution because the second equation can never be obtained when multiplying the first equation by any value. b. the equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3. c. the equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by 3. d. the equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −4.

B. The equations have the same solution because the second equation can be obtained by multiplying both sides of the first equation by −3.

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:

hi there!

first we need to find out how much they are adding to each number to make the next number.

ex: 4 + 4 = 8, 8 + 8 = 16, and so on.

so continuing with 32,

32 + 32 = 64

64 + 64 = 128

128 + 128 = 256

256 + 256 = 512

4, 8, 16, 32, 64, 128, 256, 512

the 8th term of the sequence will be 512

hope this ! ~