Abbey gets paid a flat rate of $10.00 to mow her neighbors lawn plus an additional $5 peri hour to rake the leaves. The money she earns is represented by the equation “m=5h+10” where ‘m’ represents the amount of money she earns, in dollars, and ‘h’ is the number of hours she rakes leaves for. Which of the following equations can be used to find ‘h’ the number of hours she rakes leaves for ? a. h = m - 2
b. h = m - 10
c. h = m/5
d. h= m-10/ 5

(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

sine

step-by-step explanation:

(3x-8) or (3x+8)

step-by-step explanation: