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ankoles [38]
2 years ago
11

Write the domain and range of the given figure.

Mathematics
1 answer:
Whitepunk [10]2 years ago
7 0
Domain x < or equal to 5
Range y < or equal to -1
Brainliest?
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Which of these statements is correct?
tatuchka [14]

Answer:

The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution is correct.

Step-by-step explanation:

<em>1) The system of linear equations 6x - 5y = 8 and 12x - 10y = 16 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

6x - 5y = 8

y = <u>8 - 6x</u>

        -5

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

16x - 6y = 22

16x - 6 (<u>8 - 6x)</u> = 22

              -5

80x - 48 + 36x = 22 x -5

94x = 43

x = 0.457

<em>This statement is incorrect as it does have a solution.</em>

<em>2) The system of linear equations 7x + 2y = 6 and 14x + 4y = 16 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find y in terms of x from any one equation</em>

7x + 2y = 6

y = <u>6 - 7x</u>

        2

<em>Step 2 : Substitute y in terms of x from step 1 in the second equation.</em>

14x + 4y = 16

14x + 4(<u>6 - 7x)</u> = 16

              2

14x + 12 - 14x = 16

0 ≠ 4

<em>This statement is not true as there are no solutions.</em>

<em>3) The system of linear equations 8x - 3y = 10 and 16x - 6y = 22 has no solution.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

8x - 3y = 10

x = <u>10 + 3y</u>

        8

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

16x - 6y = 22

16(<u>10 + 3y)</u> - 6y = 22

       8

20 + 6y - 6y = 2

0 ≠ -18

<em>This statement is true because there are no solutions</em>

<em>4) The system of linear equations 9x + 6y = 14 and 18x + 12y = 26 has an infinite number of solutions.</em>

<em>Solve these linear equations simultaneously</em>

<em>Step 1 : Find x in terms of y from any one equation</em>

9x + 6y = 14

x = <u>14 - 6y</u>

        9

<em>Step 2 : Substitute x in terms of y from step 1 in the second equation.</em>

18x + 12y = 26

18 (<u>14 - 6y)</u> + 12y = 26

        9

8 - 12y + 12y = 26

0 ≠ 18

<em>This statement is incorrect because there are no solutions. It does not have infinite number of solutions.</em>

<em>!!</em>

8 0
3 years ago
Read 2 more answers
The number of words Latisha can text, y,
lyudmila [28]

Answer for A it’s 24

6 0
2 years ago
Solve the equation for 5x^2-4x=6
Andrei [34K]

Answer:

x = (4 + 2√34)/10, x = (4 - 2√34)/10

Step-by-step explanation:

5x² - 4x = 6

Subtract: 5x² - 4x - 6 = 0

Quadratic formula: x = (4 ± √(16 - 4*5*(-6)))/10

Multiply: x = (4 ± √(16 + 120))/10

Simplify: x = (4 ± 2√34)/10

8 0
3 years ago
Which algebraic expression represents the phrase below? five times the sum of a number and eleven, divided by three times the su
anyanavicka [17]

<u>The overall </u><u>algebraic  expression</u><u> will be:   </u>\frac{5(x+11)}{3(x+8)}<u />

Definition of algebraic expression -

An expression obtained by a finite number of the fundamental operations of algebra upon symbols representing numbers.

Five times the sum of a number and eleven, divided by three times the sum of the number and eight.

Let the number be x.

Five times the sum of a number and eleven means 5 multiplied to the sum of x and 11. In expression this will be written as:

5(x + 11)

Three times the sum of the number and eight means 3 multiplied to the sum of x and 8. In expression this will be written as:

3(x + 8)

So, the overall <u>algebraic</u> expression will be:    \frac{5(x+11)}{3(x+8)}

Learn more about algebraic expression

brainly.com/question/953809

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3 0
1 year ago
Determine whether the value is a parameter or statistic 43.87% of voters turned out for the 2004 elections
inna [77]

Answer:

5 but its probaly not right bc im just looking for pointsStep-by-step explanation:

6 0
3 years ago
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