Answer:
3/19
Step-by-step explanation: So basically you are asking for the reciprocal and the reciprocal of 19/3 is 3/19. You just basically flip the fraction around.
Answer:
Step-by-step explanation:
We have to first find the vertices of the feasible region before we can determine the max value of P(x, y). We will graph all 4 of those inequalities in a coordinate plane and when we do that we find that the region of feasibility is bordered by the vertices (0, 0), (0, 1), (2, 3), and (5, 0). Filling each x and y value into our function will give us the max value of that function.
Obviously, when we sub in (0, 0). we get that P(x, y) = 0.
When we sub in (0, 1) we get 24(0) + 30(1) = 30.
When we sub in (2, 3) we get 24(2) + 30(3) = 138.
When we sub in (5, 0) we get 24(5) + 30(0) = 120.
Obviously, the vertex of (2, 3) maximized our function for a value of 138.
Answer <u>(assuming it is allowed to be in point-slope format)</u>:

Step-by-step explanation:
1) First, determine the slope. We know it has to be perpendicular to the given equation,
. That equation is already in slope-intercept form, or y = mx + b format, in which m represents the slope. Since
is in place of the m in the equation, that must be the slope of the given line.
Slopes that are perpendicular are opposite reciprocals of each other (they have different signs, and the denominators and numerators switch places). Thus, the slope of the new line must be
.
2) Now, use the point-slope formula,
to write the new equation with the given information. Substitute
,
, and
for real values.
The
represents the slope, so substitute
in its place. The
and
represent the x and y values of a point the line intersects. Since the point crosses (1,4), substitute 1 for
and 4 for
. This gives the following equation and answer:

Answer:
I would say A but I'm not sure
Step-by-step explanation:
Sry if I' m wrong <3