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Montano1993 [528]
4 years ago
13

What POINT maximizes the objective function p= 4x+3y for the constraints below.

Mathematics
1 answer:
SOVA2 [1]4 years ago
8 0

A point that satisfies the criteria is (4,5) p=31.
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50 POINTS FOR CORRECT AWNSER!
Grace [21]

Answer:

\mathsf{y < \dfrac47x-4}

Step-by-step explanation:

<u>First, find the equation of the line</u>.

<em>Slope-intercept form</em> of a linear equation:  \mathsf{y=mx+b}

(where m is the slope and b is the y-intercept)

From inspection of the graph, the y-intercept is at (0, -4)

Therefore, b = -4

Choose another point on the line, e.g. (7, 0)

Now use the slope formula to find the slope:

\mathsf{slope=\dfrac{y_2-y_1}{x_2-x_1}}

where:

  • \mathsf{(x_1,y_1)=(0,-4)}
  • \mathsf{(x_2,y_2)=(7,0)}

\implies \mathsf{slope=\dfrac{0-(-4)}{7-0}=\dfrac47}

Therefore, the equation of the line is:

\mathsf{y=\dfrac47x-4}

For an inequality, the dashed line means < or >  (whereas a solid line means ≤ or ≥)

As the shading is below the line, we need to use <

Therefore, the final inequality is:

\mathsf{y < \dfrac47x-4}

8 0
2 years ago
Solve for the indicated variable. Include all of your work in your answer. Submit your solution. A = 1 + prt; for r
dlinn [17]
A=1+prt
A-1=prt
A-1/pt=r
8 0
3 years ago
Can the table shown below represent values of a function
Leno4ka [110]
No because there are two different outputs for the same input. (9)
8 0
3 years ago
Read 2 more answers
The length of segment PQ” can be written as PQ. True or false
Rudiy27
This is true But it can also be written as QP if there are only 2 points.<span />
6 0
3 years ago
30 pointss!HELP! Two students get into an argument about the correct answer.
Mamont248 [21]

Both Rhianna and Christopher were correct as they took different reference angles.

Step-by-step explanation:

Step 1:

tan \theta = \frac{opposite side}{adjacentside} .

The value of the tan of a reference angle is calculated using the above formula.

The hypotenuse is the longest side of the triangle is always opposite the right angle of the triangle.

In this triangle, the hypotenuse is the side measuring 5 units.

Step 2:

When the reference angle is A, the opposite side measures 3 units and the adjacent side measures 4 units.

So tan A = \frac{3}{4} .

When the reference angle is C, the opposite side measures 4 units and the adjacent side measures 3 units.

So tan C = \frac{4}{3} .

So both Rhianna and Christopher were right as they took different reference angles i.e. A and C.

7 0
4 years ago
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