1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
8090 [49]
3 years ago
11

35 solve the following syste

Mathematics
1 answer:
blondinia [14]3 years ago
8 0

Part A: The solution is (-0.923,5.692)

Part B: The point (3,7) is not in the solution set.

Explanation:

Part A: The given inequalities are 3 x+4 y>20 and x

The solution can be determined by solving the two inequalities by substitution method.

Changing inequalities to equality, we have,

x=3 y-18 and 3 x+4 y=20

Let us substitute x=3 y-18 in the equation 3 x+4 y=20 , we get,

3 (3y-18)+4 y=20

   9y-54+4y=20

                  13y=74

                     y=5.692

Substituting y=5.692 in x=3 y-18, we get,

x=3 (5.692)-18

  =17.076-18

x=-0.923

Thus, the solution set is (-0.923,5.692)

Part B: Now, we shall determine whether the point (3,7) is in the solution set.

Let us substitute the point (3,7) in the inequalities 3 x+4 y>20 and x, we get,

3 (3)+4 (7)>20

      9+28>20

            37>20

Also, substituting (3,7) in x, we get,

3

3

3

Since, the point (3,7) does not satisfy one of the inequality x , the solution set does not contain the point (3,7)

Thus, the point (3,7) is not in the solution set.

You might be interested in
Help please!!!! it makes so sense
Tamiku [17]

Answer:

(- \frac{1}{5} , 0 )

Step-by-step explanation:

to find where the line crosses the x- axis, let y = 0 in the equation and solve for x

5x - 2(0) + 1 = 0

5x - 0 + 1 = 0

5x + 1 = 0 ( subtract 1 from both sides )

5x = - 1 ( divide both sides by 5 )

x = - \frac{1}{5}

the line crosses the x- axis at (- \frac{1}{5}, 0 ) or ( - 0.2, 0 )

4 0
2 years ago
Read 2 more answers
PLEASE HELP ME!!!!!!!
Gennadij [26K]

Answer:

E is the answer of your question

8 0
3 years ago
The Rachel’s daily expenses for 10 days are in the table.
Annette [7]
The correct answer is $44.20. 
If we add up all the tips, the total is $442. If we divide this by the number of days (10), then we find the mean.
442 / 10 = 44.2
4 0
3 years ago
Which expression represents the product of negative three-fourths x and –8x? negative 35 over 4 x 6x negative 35 over 4 x square
valentinak56 [21]

The expression that represents the product of negative three-fourths x and –8x is 6x^2

<h3>How to determine the equivalent expression?</h3>

The statement is given as:

the product of negative three-fourths x and –8x

Rewrite properly as:

-3x/4 * -8x

Divide 4 and 8 by 4

-3x * -2x

Multiply -3 and -2

6x * x

Multiply x and x

6x^2

Hence, the expression that represents the product of negative three-fourths x and –8x is 6x^2

Read more about expressions at:

brainly.com/question/723406

#SPJ1

6 0
2 years ago
Help me plzzzzzzzzzzzzzzzzzz
omeli [17]
Can u Plz Mark as brainlest
<span>4x + 6 = 62 Subtract 6 from both sides 4x = 56 Divide 4 from both side x = 14 14 + 14 + 1 + 14 + 2 + 14 + 3 = 62 62 = 62 The youngest age is 14
</span>Its really easy as you can see hope this helps

5 0
3 years ago
Other questions:
  • A^-5b^-4/a^-13b^8 a. a^8 b^12 b. ab^5 c. a^8/b^12 d.b^-9/b^-5
    15·1 answer
  • HELP
    15·1 answer
  • There are a total of 56 students in the math club and the games club. The math club has 4 more students than the games club. Wri
    5·1 answer
  • What is the next term in the sequence 58, 47, 36, 25, ...?
    7·1 answer
  • Is it possible for a number to be a rational number that is not an integer but is a whole number? PLEASE EXPLAIN
    13·1 answer
  • AM
    12·1 answer
  • Manuel borrowed $1,500 from his bank and signed a contract to make monthly payments for one year at a monthly simple interest of
    7·1 answer
  • Evaluate.<br><br> 33+1⋅9+12 <br><br> please help!
    9·2 answers
  • What is 8 to the power of two?
    10·1 answer
  • Here’s the question:
    12·2 answers
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!