Answer:
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Step-by-step explanation:
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Answer:
y = 7
Step-by-step explanation:
The straight line which is perpendicular to the y-axis will be either x-axis or parallel to the x-axis.
Now, the general equation for all straight line which is either x-axis or parallel to x-axis are given by y = c ........... (1), where c is any constant.
For c = 0 the line will be x -axis. therefore, y = 0, is the equation of x-axis.
Now, if the line (1) passes through the point (-2, 7), then the equation will be y = 7. (Answer)
{Since, the point (-2,7) will satisfy the equation (1) and then c will be equal to 7.}
Answer: y = -2x + 1 or y +2x - 1 = 0
Step-by-step explanation
Recall, equation of a line passing through two coordinates is
y - y₁ = y₂ - y₁ ( x - x₁ )
₋₋₋₋₋₋₋₋ x
x₂ - x₁
note , (x₁ = -3), (x₂ = 1), (y₁ = 7), (y₂ = -1)
Now substitute for those values in the above equation
y - (7) = -1 - 7
------ X ( x - (-3)
1 - (-3)
y - 7 = -8/4 X ( x + 3 )
y - 7 = -2(x + 3 )
y - 7 = -2x - 6
The equation now
y = -2x -6 + 7
y = -2x + 1 or
y + 2x - 1 = 0.
Let x represent the number of type A table and y represent the number of type B tables.
Minimize: C = 265x + 100y
Subject to: x + y ≤ 40
25x + 13y ≥ 760
x ≥ 1, y ≥ 1
From, the graph the corner points are (20, 20), (39, 1), (30, 1)
For (20, 20): C = 265(20) + 100(20) = $7,300
For (39, 1): C = 265(39) + 100 = $10,435
For (30, 1): C = 265(30) + 100 = $8,050
Therefore, for minimum cost, 20 of type A and 20 of type B should be ordered.
The answer would be <14 and <16