Give the equation of the exponential function whose graph is shown
40

D. f(x) = 2⁻ˣ

Plotting the equation would make the line function like this:

FOR NUMBER 1

1. angleAED = 7x-40 and angleBEC= 3x + 40; given

2. 7x-40=3x+40; vertical angles are congruent

3. 4x-40=40; addition property of equality

4. 4x=80; addition property of equality

5. x = 20; division property of equaliy

FOR NUMBER 2

1. angle CED=2X+30 and angleAED=5x-46; given

2. Angle aed and angle ced are supplementary; assumed from diagram

3. 2x+30+5x-46=180; supplementary angles add upto 180

4. 7x-16=180;substitution (simplification of like terms)

5. 7x=196; addition property of equality

6. X=28; division property of equality

FOR NUMBER 3

1. angleBEC=4x-30 and angle BEA =2x ; given

2. angle bec and angle bea are supplementary; assumed from diagram

3. bec+bea = 180; definition of supplementary angles

4. 4x-30+2x=180; substitution

5. 6x=210; addition property of equality

6. X = 35; division property of equality

Step-by-step explanation: