Hello from MrBillDoesMath!
Answer:
f(x) = 8 * 3^x
Discussion:
x = 0: f(x) = 8
x = 1: f(1) = f(0) * 3 = 8*3
x = 2: f(2) = f(2-1)*3 = f(1) * 3 = (8*3)*3 = 8 * 3^2
x=3 : f(3) = f(3-1)*3 = f(2)*3 = (8 * 3^2) * 3 = 8 * 3^3
Based on this we guess that
f(x) = 8 * 3^x
Thank you,
MrB
Manifest destiny, as many settlers moved west after the Louisiana purchase to claim land that the U.s government was handing out. With a sudden influx of settlers and people needing to eat/make money off of their pelts. The buffalo population declined
Graph the inequality y> 2x +3
Solution
<u>Step 1: </u>To graph the inequality, we need to find a few coordinates and form the table.
<u>Step 2:</u> Forming the table.
Let's take x = -1 and find the value of y.
Plug in x = -1 and find the value of y.
y = 2(-1) + 3 = -2 + 3 = 1
When x = -1, the value of y is 1.
So the coordinates are (-1, 1)
Plug in x = 0 and find the value of y.
y = 2(0) + 3 = 3
The coordinates are (0, 3)
Plug in x =1 and find the value of y.
y = 2(1) + 3 = 2 + 3 = 5
The coordinates are (1, 5)
<u>Steo 3: </u>Now let's plot the points and draw the graph.
Since the graph is greater than, we have to draw the dotted lines and shade the region above.
Note: You can find the graph in the attachment.
Thank you :)
B=3d and b=d+4
Since b=b we can say:
3d=d+4 subtract d from both sides
2d=4 divide both sides by 2
d=2
Daniel is 2 years old. (and Ben is 6 years old)