6 Power UP Test Practice
8
7
Northside Craft Sale
15. The table shows the money raised by each type of booth
at a craft sale. The mean amount raised per booth was $59.
How much money was raised by the T-shirt booth? Explain
how you found your answer.
Booth
Money Raised (5)
Artwork
58
Candies
47
Nu
ca
Holiday
decorations
54
Jewelry
70
Picture frames
45
80
T-shirts
B
The meanis 38ints. scored hva football

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graphically?   well, you graph them both, the solutions is where they both intersect each other, since there are two solutions, meaning they will meet twice, or namely the linear will run into the quadratic curve twice, and where they meet, those x,y coordinates are the solutions to the system.

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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.

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6: 4= 3/2

18: 8= 9/4

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