Answer:
0.012t + 28 = 30
Step-by-step explanation:
The depth starts at 28 meters. The amount of increase in t minutes will be 0.012t, so the total depth after t minutes is ...
0.012t +28
We want to find when that is equal to 30, so the appropriate equation is ...
0.012t +28 = 30
X - the number of loads by land carriers,
y - the number of loads by air carriers;
The system of inequalities:
x + y ≤ 150
2,000 x + 1,250 y ≤ 180,000
Answer:
Step-by-step explanation:
Roots: set y = x^2 + 8x + 12 = 0 and solve for x: x + 6 = 0, so x = -6 is one root. The other is x = -2. The corresponding points are (-6, 0) and (-2, 0).
y-intercept: Let x = 0. Then y = 12. The y-intercept is (0, 12).
Axis of symmetry: x = -b / (2a) => x = -8/(2*1) = -4: x = -4
Vertex y-value: evaluate y at x = - 4: (-4)^2 + 8(-4) + 12 = -4: (-4, -4)
Arbitrarily chosen x value: x = 1 => 1^2 + 8(1) + 12 = 21: (1, 21)
The five points are: (-6, 0) and (-2, 0), (0, 12), (-4, -4), (1, 21). The vertex is (-4, -4). The parabolic graph opens UP.
Answer:
The numerator factors to

The denomenator factors to

Answer:
Step-by-step explanation:
3 7/10 *7
37/10 *7
259/10
25.9 or 25 9/10