Y=−0.0067x+17 what does the number 17 in the equation mean in this context?

it's the Y intercept

Step-by-step explanation:

It appears to be a y=mx +b linear equation, where 0.0067 is the slope and 17 would be the y intercept.

The 17 is a y-intercept, which can also be referred to as the constant.

Step-by-step explanation:

The number added to the end of any equation (as long as it doesn't have a variable attached) is the y-intercept. The y-intercept of all equations in slope intercept form is a constant.

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step-by-step explanation:

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.