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const2013 [10]
3 years ago
12

Which graph represents the solution set for the system x + 2y 3, x + y 4, and 3x − 2y 4?

Mathematics
1 answer:
Lerok [7]3 years ago
4 0

x + 2y + 3 = 0
Subtract x from both sides.
2y + 3 = -x
Subtract 3 from both sides.
2y = -x - 3
Divide by 2 on both sides
y = -(x+3)/2

x + y + 4 = 0
Subtract x and 4 from both sides
y = -x - 4

3x - 2y + 4 = 0
Subtract 3x and 4 from both sides.
-2y = -3x -4
Divide by -2 from both sides.
y = -(3x + 4) / 2

The answer is the graph that contains these slopes and lines on the graph, which was not provided.

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Select all pairs of numbers that have a least common multiple of 30.
ddd [48]

5 and 6  and 3 and 10, the pairs of numbers that have a least common multiple of 30.

<u>Step-by-step explanation:</u>

Case 1: LCM (3, 6)

Prime factorization of 3:  1 \times 3

Prime factorization of 6:  2 \times 3

Using all prime numbers found as often as each occurs most often we take

               2 \times 3=6

Therefore LCM (3, 6) = 6.

Case 2: LCM (5, 6)

Prime factorization of 5:  1 \times 5

Prime factorization of 6:  2 \times 3

Using all prime numbers found as often as each occurs most often we take

                     5 \times 2 \times 3=30

Therefore LCM (5, 6) = 30

Case 3: LCM (3, 10)

Prime factorization of 3:  1 \times 3

Prime factorization of 10:  2 \times 5

Using all prime numbers found as often as each occurs most often we take

                    5 \times 2 \times 3=30

Therefore LCM (3, 10) = 30

Case 4: LCM (5, 10)

Prime factorization of 5:  1 \times 5

Prime factorization of 10: 2 \times 5

Using all prime numbers found as often as each occurs most often we take

                       5 \times 2=10

Therefore LCM (5, 10) = 10

8 0
3 years ago
PLEASE HELP FAST
Minchanka [31]

Answer:

-3165

Step-by-step explanation:

put 3 in for x than you just multiply from there than once you multiplied add and subtract than you have the answer

6 0
2 years ago
PLEASE HELP ASAP PLLSSS!!!!
IgorC [24]

Answer:

  • 7 months

Step-by-step explanation:

a)

  • A(x) = 275 + 125x

b)

  • C(x) = 1850 - 100x

c)

  • 275 + 125x = 1850 - 100x
  • 125x + 100x = 1850 - 275
  • 225x = 1575
  • x = 1575 / 225
  • x = 7

The answer is 7 months

4 0
3 years ago
Find x please so difficult
Colt1911 [192]

Answer:

120 degrees

Step-by-step explanation:

Attached is a screenshot.

y = 180 - 50 - 70 = 60.

x + y = 180, so x = 120

Remember to try to use parallel lines when you can

The second uses the same method, just the opposite side.

4 0
2 years ago
Pliss help its 15 ponts
Viefleur [7K]

Answer:6x+36, 5x+5, 10x-9

Step-by-step explanation:

5 0
3 years ago
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