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alina1380 [7]
3 years ago
9

Determine how many solutions each equation has. If one solution, state the value of x. +6+8=2−+14

Mathematics
1 answer:
larisa [96]3 years ago
3 0
The solution is X= -26
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3y <= -2x+18
weeeeeb [17]

Answer:

  • A (-4, -3)
  • C (2, 4)
  • E (3, 2)

Step-by-step explanation:

It is convenient to use technology to plot the points and the functions to see what lies where. The first attachment shows such a plot.

_____

Of course, you can do the function evaluations. For example, testing answer B, we find ...

... 3·6 ≤ -2·1 +18 . . . . <em>false</em> for the first equation — not a solution

Checking all the points requires 10 function evaluations. When things get repetitive like that, I like to use a graphing calculator or spreadsheet.

_____

<em>Using a calculator</em>

The second attachment shows a calculator evaluating the viability of each point as a solution. The equations have been rearranged to ...

  • -2x -3y +18 ≥ 0
  • -x +4y +12 ≥ 0

This makes it easy to look at the evaluation results to see if the solution is viable or not.

The x-values of the points are entered into list L₁ and the y-values into L₂. The result of the first inequality above is in L₃ and the result for the second inequality is in L₄. Any negative value in L₃ or L₄ shows a point that is <u>not</u> part of the solution set. Points B and D fail to match problem requirements.

Points A, C, and E are in the solution set.

6 0
3 years ago
12 workers take 4 hours to complete a job. How long would it take 15 workers to complete the job?
slavikrds [6]

Answer:

3.2 hours

Step-by-step explanation:

12 workers * 4 hours = 48 worker hours

15 workers  * x hours = 48 worker hours

48 /15 =3.2 hours

6 0
3 years ago
Read 2 more answers
Please! Quick, how may days are in between 12/1/16 and 7/20/20???
lozanna [386]
1,327 days are in between 12/1/16 and 7/20/20
8 0
3 years ago
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A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles. HINT [See Example 7.] H
lapo4ka [179]

Answer: 8

Step-by-step explanation:

Given: A bag contains three red marbles, two green ones, one lavender one, two yellows, and two orange marbles.

Total marbles other than green = 8

Total marbles other than green and yellow = 6

Then the number of sets of seven marbles include at least one yellow one but no green ones:-

^{2}C_1\times^{6}C_6+ ^2C_2\times^6C_5\\\\= 2\times 1+1\times6\\\\=2+6=8

Number of sets of seven marbles include at least one yellow one but no green ones = 8

3 0
3 years ago
MATH HELP PLS!!!!
antiseptic1488 [7]

The answer is A. x = 8. All the points on the line are ( 8 , y ).

3 0
3 years ago
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