Which set of vertices forms a parallelogram? A. A(2, 4), B(3, 3), C(6, 4), D(5, 6) B. A(-1, 1), B(2, 2), C(5, 1), D(4, 1) C. A(-5, -2), B(-3, 3), C(3, 5), D(1, 0) D. A(-1, 2), B(1, 3), C(5, 3), D(1, 1)

both graphs increase on their domain

neither graph has a y-intercept

step-by-step explanation:

the following points can be visualized easily from the graph

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places

b