What is 5 -90 as a decimal
2 answers:
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Step-by-step explanation:
The piece-wise linear functions can be written as follows:
.
.
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 less than 5, the y-intercept is of b = 3 and the function also gos through (2,2), hence the slope is:
m = (2 - 3)/(2 - 0) = -0.5.
Hence the rule is:
.
When x = 5, the function is constant at -5, hence:
For x less than 5, the function goes through points (6,3) and (7,2), hence the slope is:
m = (2 - 3)/(7 - 6) = -1.
Then:
y = -x + b
When x = 6, y = 3, hence the y-intercept is given as follows:
3 = -6 + b
b = 9.
Hence the rule is:
.
More can be learned about linear functions at brainly.com/question/25537936
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<h3>Your answer would be C, or 
.</h3>
To factor this polynomial, take out a greatest common factor from all of the terms.
In this case, we can look at the coefficients of x and x itself separately, and then combine them at the end.
The coefficients of x are 3, -12, and 27.
The greatest common factor between these numbers would be 3, as each of those numbers are divisible by 3.
Now, looking at x, you see .
The greatest common factor between these numbers would just be x, as all of these are divisible by x.
Now, combine these factors. 3 and x are the two greatest common factors, and putting them together, you get 3x.
To finish factoring this, factor out 3x from the polynomial, and combine them.
The polynomial is . To factor 3x out of them, divide each term by 3x.
That would be your answer, C.
Good luck!