The piece-wise linear functions can be written as follows:
- .
- .
- .
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
For x equal or less than -2, the line passes through (-3,-3) and (-2,-2), hence the rule is:
.
For x greater than -2 up to 1, the y-intercept is of -7, and the line also passes through (1,-8), hence the rule is:
.
For x greater than 1, the function goes through (2,-5) and (3,-3), hence the slope is:
m = (-3 - (-5))(3 - 2) = 2.
The rule is:
y = 2x + b.
When x = 2, y = -5, hence:
-5 = 2(2) + b
b = -9.
Hence:
.
More can be learned about linear functions at brainly.com/question/24808124
#SPJ1
<span> x/3-2=7
---------------------
SImplify
1/3x - 2 = 7
--------------------------
add 2 to each side
1/3x - </span><span><span>2 </span>+ 2 </span>= <span>7 + <span>2
1/3x = 9
------------------------------
Multiply each side by 3
3 * (1/3x) = 3 * 9
x = 27</span></span>
Answer: 318.19°
<u>Step-by-step explanation:</u>
3 sin x + 2 = 0
3 sin x = -2
x = -41.81
x = -41.81 + 360 (one rotation) = 318.19
If you mean that you want to solve the equation for v, then all you need to do is to multiply both sides by 3:
Answer:
Step-by-step explanation:
Divide both sides by R.
Switch sides.
Take the square root of both sides.