Answer:
Z = (42-20)/4 = 5.5
Z = X-μ / σ
Step-by-step explanation:
Answer:
9.55 cm
Step-by-step explanation:
The circumference is also called the perimeter, which is the length of the outline of any shape.
So,

Answer:
1. Slope at a=2 is 2.
2. Slope at a=0 is 2.
Step-by-step explanation:
We need to find the slope of y = f(x) at x = a.
1.
The given function is

It can be written as

Differentiate with respect to x.

Substitute x=2 to find the slope of y = f(x) at a=2.



Therefore the slope of function at a=2 is 2.
2.
The given function is

It can be written as

Differentiate with respect to x.

Substitute x=0 to find the slope of y = f(x) at a=0.



Therefore the slope of function at a=0 is 2.
Step-by-step explanation:
1. 3x+x-2x+8=3x+x
x-2x+8=x
x+8=x+2x
8=2x
8÷2=4
x=4
2. 2(2x+4)-2x=x+18
8+4x-2x=x+18
8+2x=x+18
2x=x+10
x=10
3. 2(x+3)+3x
2(5+3)+15
16+15
31
4. 3(2x)-3x+4=2x+5
6x-3x+4=2x+5
3x+4=2x+5
3x-2x+4=5
x=1
5. 3x+2x+x=x+6
6x=x+6
5x=6
x=6/5
6. 2(x+4)+x=16
2x+8+x=16
3x+8=16
3x=8
x=8/3
Hope I calculated it right you can check it in calculator
(2, -4) → x = 2, y = -4
Put the coordinates of the point to the inequality.
y < x - 2 → -4 < 2 - 2 → -4 < 0 TRUE
y ≥ -x -4 → -4 ≥ -2 - 2 → -4 ≥ -4 TRUE
Answer:

You can check other systems.
(2) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE
(3) y ≤ -x - 4 → -4 ≤ -2 - 4 → -4 ≤ -6 FALSE
(4) y > x - 2 → -4 > 2 - 2 → -4 > 0 FALSE