there are 18 students are represented on the line plot
Let x be the time and y is the depth
At x = 0 y = -130
At x= 6.5 y = 0
So the slope = (0- (-130) / ( 6.5 – 0) = 20
Y intercept b
0 = 20(6.5) + b
B= -130
The equation
Y = 20x -130
The domain all real numbers from 0 to 6.5
Range is all realnumber from -130 to 0
Answer:
16 nickels thicker
Step-by-step explanation:
You would need 20 nickels for 1 dollar and only 4 quarters for 1 dollar. Do 20 minus 4 and your answer is 16 nickels. The stack of nickels is 16 coins thicker. Hope this helped!
Answer:
y = - 2x - 2
Step-by-step explanation:
The equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
Calculate m using the slope formula
m = 
with (x₁, y₁ = (- 2, 2) and (x₂, y₂ ) = (1, - 4)
m =
=
= - 2, thus
y = - 2x + c ← is the partial equation
To find c substitute either of the 2 points into the partial equation
Using (- 2, 2), then
2 = 4 + c ⇒ c = 2 - 4 = - 2
y = - 2x - 2 ← equation of line
Answer:
See below
Step-by-step explanation:
a. here you are to multiply the two functions together:

b. here you are to subtract g from f:

c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:

d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:

You now have to FOIL out the (3x-1) like so:
![2[(3x-1)(3x-1)]](https://tex.z-dn.net/?f=2%5B%283x-1%29%283x-1%29%5D)
which gives you

Distribute in the 2 and you'll end up with the answer:
