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sdas [7]
2 years ago
11

Please help me in this. I need to turn this assignment in!

Mathematics
1 answer:
olga2289 [7]2 years ago
4 0

Answer:

X-----Independent Variable

Y-----Dependent Variable

Dependent Variable-----A variable whose value determines the value of the output

Independent Variable-----A variable whose value determines the value of the input

Input-----The value substituted into an expression or function

Output----The value that results from the substitution of a given input into an expression or function

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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
H(x) = 9x2 + 1<br> PLSSS HELP
nataly862011 [7]

Answer: 82

Step-by-step explanation:

H=9(-3)^2+1

Simplify both sides of the equation.

h=81+1

81+1 =82

h=82

4 0
2 years ago
Laura checked her outdoor thermometer and noticed that the temperature rose from 31 degrees in the morning to 45 degrees in the
harina [27]
The temperature increases by 45% so far.
4 0
2 years ago
Read 2 more answers
Tom Harding is a proofreader. He is paid $0.23 for every page he proofs. What is Tom's total pay for a week in which he proofrea
natka813 [3]
Alrighty, what I was always taught was to start by writing out what you know from the question.

What I know:
-Tom is paid $0.23 for every page of proofs.
-He proofreads 1,992 pages.

In order to figure out how much money Tom has made, we need to multiply 0.23 by 1,992. Multiplying allows us to see the total amount of money made by proofreading x amount of pages - for every page he proofreads, he makes $0.23.
0.23×1992=458.16

Therefore, Tom made $458.16.

Hope this helps!

3 0
3 years ago
Amy class went the fair they saw 22 horses and 18 ponies they also saw 18 rabbits and 37 hares compare the the number of horses
Dima020 [189]
The answer is 15. 37 plus 18 equals to 55 and 22 plus 18 equals to 40. 55 minus 40 equals to 15.
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3 years ago
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