The picture does not match the question.
Answer: X=7
Step-by-step explanation:Let's solve your equation step-by-step.
3x+8−x=4−2x+32
Step 1: Simplify both sides of the equation.
3x+8−x=4−2x+32
3x+8+−x=4+−2x+32
(3x+−x)+(8)=(−2x)+(4+32)(Combine Like Terms)
2x+8=−2x+36
2x+8=−2x+36
Step 2: Add 2x to both sides.
2x+8+2x=−2x+36+2x
4x+8=36
Step 3: Subtract 8 from both sides.
4x+8−8=36−8
4x=28
Step 4: Divide both sides by 4.
4x
=28
4x/4=x 28/4
=
28
/4=7
Answer:
3m/s
Step-by-step explanation:
delta y = 40m - 10m = 30m
delta x = 20s - 10s = 10s
slope = delta y / deltax = 30m / 10s = 3m/s
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