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Talja [164]
3 years ago
11

What is 3x^2 -5x-12 in factored form

Mathematics
2 answers:
11111nata11111 [884]3 years ago
8 0
The answer to you equation is below in picture form

Ira Lisetskai [31]3 years ago
5 0

Answer:

(3x+4)(x-3)

Step-by-step explanation:

That is the answer

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Which system has no solution?<br> Check all that appy.
Ainat [17]
The first equation has no solution



The picture shows all the work I did, the reason I took a pic is because it is a little hard to explain by text, but I hope this helped you!

7 0
3 years ago
Sebastian has $3.75 worth of dimes and quarters. He has a total of 21 dimes and quarters altogether. Determine the number of dim
Nostrana [21]

Answer:

Sebastian cold have 10 dimes and 11 quarters.

Step-by-step explanation:

11 quarters = $2.75

10 dimes = $1.00

6 0
3 years ago
Tetras cost $3.99 each. you can spend at most $25. how many tetras can you buy for your aquarium
Ne4ueva [31]
You can buy at most 6
6 0
3 years ago
A company manufactures two different sizes of boat lifts. The smaller lift requires 1 hour in the welding department and 2 hours
qaws [65]

Answer:

  • The solution that optimizes the profit is producing 0 small lifts and 50 large lifts.
  • Below are all the steps explained in detail.
  • The graph is attached.

Explanation:

<u />

<u>1. Name the variables:</u>

  • x: number of smaller lifts
  • y: number of larger lifts

<u></u>

<u>2.  Build a table to determine the number of hours each lift requires from each department:</u>

<u></u>

Number of hours

                                        small lift    large lift   total per department

Welding department            1x             3y                x + 3y

Packaging department        2x             1y                2x + y

<u></u>

<u>3. Constraints</u>

  • 150 hours available in welding:         x + 3y ≤ 150
  • 120 hours available in packaging:   2x + y ≤ 120
  • The variables cannot be negative:    x ≥ 0, and y ≥ 0

Then you must:

  • draw the lines and regions defined by each constraint
  • determine the region of solution that satisfies all the constraints
  • determine the vertices of the solution region
  • test the profit function for each of the vertices. The vertex that gives the greatest profit is the solution (the number of each tupe that should be produced to maximize profits)

<u></u>

<u>4. Graph</u>

See the graph attached.

Here is how you draw it.

  • x + 3y ≤ 150
  • draw the line x + 3y = 150 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • 2x + y ≤ 120
  • draw the line 2x + y ≤ 120 (a solid line because it is included in the solution set)
  • shade the region below and to the left of the line

  • x ≥ 0 and y ≥ 0: means that only the first quadrant is considered

  • the solution region is the intersection of the regions described above.

  • take the points that are vertices inside the solutoin region.

<u>5. Test the profit function for each vertex</u>

The profit function is P(x,y) = 25x + 90y

The vertices shown in the graph are:

  • (0,0)
  • (0,50)
  • (42,36)
  • (60,0)

The profits with the vertices are:

  • P(0,0) = 0
  • P(0,50) = 25(0) + 90(50) = 4,500
  • P(42,36) = 25(42) + 90(36) = 4,290
  • P(60,0) = 25(60) + 90(0) = 1,500

Thus, the solution that optimizes the profit is producing 0 smaller lifts and 90 larger lifts.

3 0
2 years ago
A 7-foot ladder is leaned against a building in such a way that the bottom of the ladder is 4 feet from the base of the wall. Fi
sladkih [1.3K]

The ground, the building, and the ladder form a right triangle, in which
the leaning ladder is the hypotenuse.

For the angle between the ladder and the ground, the 4-ft along the ground
is the side adjacent to the angle, and the 7-ft ladder is the hypotenuse.

         (adjacent side) / (hypotenuse) = cosine of the angle.

                                         Cosine(a) = 4/7 = 0.57143... (rounded)

                                                    Angle 'a' = <em>55.15 degrees</em> (rounded)

7 0
3 years ago
Read 2 more answers
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