Answer:
I can't see the choices but some options are:
36 subtract 3 = 33 subtract 3 = 30 subtract 3 = 27 subtract 3 = 24 subtract 3 = 21 subtract 3 = 18, etc.
Answer:
option B
Step-by-step explanation:
To get the graph of piecewise function
We make a table for each function
Plug in end points and make a table
First function f(x) = (x+2)^2 if x<-1
x <-1 so we pick number for x less than -1. Also we use -1 but we use open circle at x=-1
x y = (x+2)^2
-3 (-3+2)^2= 1
-2 (-2+2)^2 = 0
-1 (-1+2)^2 = 1
Now plot the table on graph
second function f(x) = |x| + 1 if -1<=x<=1
Make a table, we use -1, 0 and 1 because we have -1<=x<=1 (-1 and 1 are included)
x y=|x| +1
-1 |1| + 1 = 2
0 |0|+1 = 1
1 |1|+1= 2
Third function
if x>1
We find out y when x=1 and make a open circle at x=1 because we have x>1
x 
1 
4
Plot all the point on the graph
Correct graph is attached below
Answer:
1 3/8
Step-by-step explanation:
Possible derivation:
d/dx(1/8 (-2 + 3 x))
Factor out constants:
= 1/8 (d/dx(-2 + 3 x))
Differentiate the sum term by term and factor out constants:
= 1/8 d/dx(-2) + 3 d/dx(x)
The derivative of -2 is zero:
= 1/8 (3 (d/dx(x)) + 0)
Simplify the expression:
= 3/8 (d/dx(x))
The derivative of x is 1:
Answer: = 1 3/8
Answer:
125, 105, 120
Step-by-step explanation:
You would first make an equation with what you know:
x + 45 + x + 25 + x + 40 = 350.
Now, you would simplify and add like terms.
3x + 110 = 350
Now, you would subtract 110 from both sides.
3x = 240
Now, you would divide both sides by 3.
x = 80
Now that you know what x is, simply plug it in to the respective equations for all three sides.
x + 45 would become 80 + 45, and add up to 125.
x + 25 would become 80 + 25, and add up to 105.
x + 40 would become 80 + 40, and add up to 120.
To check your work, you would now add the three totals.
125 + 105 + 120 = 350.