The temperature at 9 a. m. was 13.6°C. The temperature at 9 p. m. was 6.4°C. The temperature at 3 a. m. was 23.5°C. What was the average change in temperature from 9 a. m. to 9 p. m.?

The average change in temperature from 9 a.m to 9 p.m is - 0.6 °  per hour (negative indicates temperature decreases), if the temperature at 9 a.m was 13.6 ° and the temperature at 9 p.m was 6.4 °.

Step-by-step explanation:

            The given is,

                       The temperature at 9 a.m was 13.6 °

                      The temperature at 9 p.m was 6.4 °

                       The temperature at 3 a.m was 23.5 °

Step:1

           Hours difference between 9 a.m to 9 p.m is,

                                   = 12 hours          (∵ consider a clock for this calculation)

Step:2

           Temperature difference between 9 a.m to 9 p.m is,

                                   =  6.4 - 13.6

                                   = - 7.2 °

Step:3

          Average change in temperature between 9 a.m to 9 p.m,

                                    = - 0.6 °            ( ∵ Negative indicates temperature reduction)

Result:

          The average change in temperature from 9 a.m to 9 p.m is - 0.6 °  per hour ( Negative indicates temperature reduction).

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

step-by-step explanation:

graph using a few selected

x         y

-1       15

0         6

1         2.4

2       0.96