The table shows the amount of money LaTasha charges customers to mow their lawns. The table represents a linear function.
2 answers:
Answer:
The correct option is B.
Step-by-step explanation:
The given table represents a linear function. The coordinate pairs are .
Choose any two points from these points and find the slope of the linear function.
Let the two points are (0,10) and (2,18).
Since the slope of the line is 4, therefore the LaTasha earns $4 for 1 hour of work.
The point (0,10) represents that LaTasha charges $10 at time 0. So, LaTasha charges $10 before she begins mowing and option B is correct.
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<h3>Answer:</h3>
- f(x) = -2x^3 +3x^2 +11x -6
- see attached
- an infinite number. Since the magnitude of the leading coefficient is not specified, it may be any negative number. (We have chosen the smallest magnitude integer that makes all coefficients be integers.)
1. When "a" is a root of a polynomial, (x -a) is a factor of it. For the three roots given, the factors of the desired polynomial are (x +2)(x -1/2)(x -3).
In order to make the leading coefficient be negative, we need to multiply this product by a negative number. Any negative number will do, but we choose a small (magnitude) value that will eliminate the fraction: -2.
Then ...
... f(x) = -2(x +2)(x -1/2)(x -3) = -(x +2)(2x -1)(x -3)
... = -(2x² +3x -2)(x -3)
... = -(2x³ -3x² -11x +6)
... f(x) = -2x³ +3x² +11x -6
2. A graph created by the Desmos on-line graphing calculator is shown, and the zeros are highlighted.
3. As indicated in part 1, the multiplier of this equation can be anything and the zeros will remain the same. You want a negative leading coefficient, so the "anything" is restricted to any of the infinite number of numbers that will make that be the case.