What must be added to 2x^2 - 5x - 12 in order to get 7x^2 - x - 18

5x^2 +4x -6

Step-by-step explanation:

that is the answer

yep

5x² + 4x - 6

Step-by-step explanation:

Subtract 2x² - 5x - 12 from 7x² - x - 18 , that is the opposite operation, that is

7x² - x - 18 - (2x² - 5x - 12) ← distribute parenthesis by - 1

= 7x² - x - 18 - 2x² + 5x + 12 ← collect like terms

= 5x² + 4x - 6

(0,-3) see attached graph

step-by-step explanation:

a. to solve the system, graph the two equations.

x = y+3 becomes y=x-3 has m=1/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move up 1 unit and 1 unit to the right. plot a point and connect.

y=-4x+3 has m =-4/1 and b=-3. start at (0,-3) on the y-axis and plot a point. then move down four units and to the right 1 unit. plot a point and connect.

the solution is the point (x,y) where the two lines intersect. by the graph below it is (0,-3).

b. to solve by substitution, substitute y = -4x-3 into x= y+3

x= (-4x-3) +3

x=-4x

5x=0

x=0

now substitute x = 0 back in to find y.

y= -4(0)-3

y=0-3

y=-3

solution is (0,-3)

c. use elimination by adding the equations together.

x-y=3

4x+y=-3

5x=0

x=0

then substitute into one equation to find y.

y=-4(0)-3

y=-3

step-by-step explanation:

use context clues to figure out the meaning of the bolded word:  

the sage gardener knew when she had to water her plants.  

question 8 options:

mint plant

wise

happy

lazy