Ashley lives in a town 360 miles directly north of orlando. one saturday, she takes the train from her town to orlando. the train travels at a constant speed of 60 mph, and after 2.5 hours, she sees a sign that states,"orlando: 210 miles" a) write an equation to represent d(x), the distance ashley is from orlando after x hours. b) graph the equation, be sure to label your axes and scales.

Step-by-step explanation:

Let x be the time ( independent variable )

Given: The distance between Orlando and the town where Ashley lives = 360 miles

The constant speed of train = 60 mph

Since

Thus, distance travel by Ashley after x hours= 60x

Let d(x) be the distance Ashley is from Orlando after x hours, then

[tex]d(x)=360-60x\\\Rightarrow\ d(x)=60(6-x)[/te

To plot the graph we need to find points .

For the first point put x=0, we get y=360

and for the second point put y= 0, we get x=6

Then take scale for y axis is 1=100 miles and scale for x axis is 1=one hour.

Then draw a line from the points we have find as shown in graph.

10

step-by-step explanation:

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

the factor is 2

step-by-step explanation:

let f(x)=8(3^(x−2)+2)

to stretch a graph by 3, it would be 3f(x)

g(x) =3f(x)

g(x) = 3*(8(3^(x−2))+2)

g(x) = 24 (3^(x-2) )+6

x     −2     0     2     4     6

f(x) 1/64 1/16   1/4     1     4

1/64 * z * z = 1/16

i multiplies by z twice because it its 2 steps from -2 to 0

1/64 z^2 = 1/16

multiply by 64 to clear the fraction on the left side

1/4 * 64 z^2 =1/16 *64

z^2 = 4

take the square root of each side

sqrt(z^2) = ±sqrt(4)

z = ±2  

we are multiplying by 2 each time.