The table shows data collected to represent the functional relationship between the number of hours an auto factory is open and the number of cars produced. A 2-column table with 5 rows. Column 1 is labeled x with Hours, x with entries 3, 5, 7, 9, 11. Column 2 is labeled Cars, y with entries 75, 125, 175, 225, 275. What is the domain of the function represented by the table? all real numbers x greater-than-or-equal-to 0 {3, 5, 7, 9, 11} {75, 125, 175, 225, 275}

ok then what happened.

b

step-by-step explanation:

the equation of a line in point- slope form is

y - b = m(x - a)

where m is the slope and (a, b) a point on the line

calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (0, 4) and (x₂, y₂ ) = (3, - 5) ← 2 points on the line

m = = = - 3

with m = - 3 and (a, b) = (3, - 5), then

y - (- 5) = - 3(x - 3), that is

y + 5 = - 3(x - 3) → b

"standard form:

3x2 + 14x − 10 = 0

solutions based on quadratic formula:

x1   = −14 − √ 142 − 4×3×(−10) /   2×3   = −14 − 2 × √ 79 /   6   ≈ −5.296

x2   = −14 + √ 142 − 4×3×(−10) /   2×3   = −14 + 2 × √ 79 /   6   ≈ 0.629