A ballpark sells bags of popcorn for $1 each and bags of peanuts for $2 each. Hector will buy x bags of popcorn and y bags of pe

Answer: 504 Step-by-step explanation: To find the result for the left-leaning poll, Total voters = 900 + 1100 = 2000. Voters who say Trump was responsible = 56% of 2000, which equals 1120. Voters who say otherwise = 44% of 2000, which amounts to 880. For this network, those who say Trump is responsible = 1120 × (900/2000) = 1008000/2000, resulting in 504 registered voters.

Answer:

The equation 0 = 3x² + 17x - 160 might be useful in determining the length.

Step-by-step explanation:

The area of the vegetable garden is specified as 170 ft².

Now, regarding the provided equations;

1) For 0 = 3x² + 2x + 180, applying the quadratic formula results in:

x = [-2 ± √(3² - 4(3 × 180)]/(2 × 3)

x = [-2 ± √(-2151)]/6

The square root value is negative, indicating no real solution for x.

Thus, this equation does not help find the length.

2) For the equation 0 = 3x² + 10x + 180, employing the quadratic formula, the square root value is also negative, hence there's no natural root for x. This means this equation can't be used to determine the length.

3) For 0 = 3x² + 17x - 160, the roots when using the quadratic formula yield -10.67 or 5. The value 5 is viable since it is a whole number. Considering the area is also a whole number, this equation can be applied to ascertain the length.

4) For 0 = 3x² - 160, simplifying gives;

3x² = 160

x² = 160/3

x = ±√(160/3)

x = ±7.303

Since the area is a whole number but this length isn't, this equation may not accurately determine the length.