Miles per Gallon (dent variable? What is the dependent variable?

At what speed is the F-150 most fuel efficient?

At what speed is the F-150 most fuel efficient?

  your answers are correct for dependent and independent variables

  25 mph

Step-by-step explanation:

The independent variable is identified by the title on the horizontal axis.

The dependent variable is identified by the title on the vertical axis.

The F-150 is most fuel-efficient where its miles per gallon is highest. The peak of that curve appears to be at about 25 miles per hour.

(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

x equals 1

step-by-step explanation:

f(4)=f(×)

x=1