Which exponential function is represented by the graph?

Step-by-step explanation:

Let's solve this using our formula for exponential functions:

where a is the initial value and b is the growth/decay rate. We will fill that equation in with 2 of the coordinates on the graph and come up with the values for both a and b. (0, 3) and (1, 6):

. Anything raised to the power of 0 is 1, so that means that

a = 3. We will use that value along with the x and y from the second coordinate to solve for b:

. b to the first is just b, so our equation is

6 = 3b and

b = 2.

Our equation then is

, the third choice down.

answer with step-by-step explanation:

a. ∠j is supplementary to ∠k - true:

(opposite angles of a trapezoid are supplementary which means that they add up to 180 degrees)

b. kl is parallel to jm - true:

(opposite sides are parallel to each other in a trapezoid)

c. jk is perpendicular to kl - false:

(clearly, jk does not make a right angle with kl)

d. jk is parallel to lm - false:

(jk and lm are two lines opposite in direction to each other so they cannot be parallel)

e. ∠j is congruent to ∠m - true:

(the angles on each side of the base are congruent)

f. ∠j is congruent to ∠k - false:

(the angles on the same side but opposite side of the base are not congruent)

a

step-by-step explanation: