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DENIUS [597]
3 years ago
6

Could you answer number 6 in the pic​

Mathematics
1 answer:
Irina-Kira [14]3 years ago
3 0

Answer:

here's the answer to the question

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1. Refer to the equation 2x - 4y = 12
Masja [62]

The coordinate pair can be obtained from the given equation by

rearranging the equation to make <em>y</em> the subject of the equation

  • The table of values obtained from the given equation is presented as follows;
  • \begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]

  • The graph showing the points in the above table is attached

Reason:

The given equation is presented as follows;

2·x - 4·y = 12

(a) The values are found by making either <em>x</em>, or <em>y</em> the subject of the

formula, and inputting values as follows;

2·x - 4·y = 12

= 4·y

4·y = 2·x - 12

\dfrac{4\cdot y}{4}  = \dfrac{2 \cdot x - 12}{4}

The rearranged equation is therefore

  • y  = \dfrac{x }{2}  - 3

Plugging in values of <em>x</em>, (0, 1, 2, 3) to find the corresponding y-values gives;

x = 0

  • y  = \dfrac{0 }{2}  - 3 = -3

  • x = 1
  • y  = \dfrac{1 }{2}  - 3 = -2 \dfrac{1 }{2}

  • x = 2
  • y  = \dfrac{2 }{2}  - 3 = -2

x = 3

  • y  = \dfrac{3}{2}  - 3 = -\dfrac{3}{2}  = -1.5

x = 4

  • y  = \dfrac{4}{2}  - 3 = -1

<u>The table of values</u> is therefore;

\begin{array}{|c|cr|} \mathbf{x}&&\mathbf{y}\\0&&-3\\1&&-2.5\\2&&-2\\3&&-1.5\\4&&-1\end{array}\right]

The <u>graph of the points</u> can be <u>plotted</u> using MS Excel as presented here

Learn more here:

brainly.com/question/7221077

5 0
3 years ago
Describe the solutions of 4 + n &gt; −2 in words.
marishachu [46]
The value of n is a number less than -6
8 0
3 years ago
What is the solution of the system? Use any method.<br><br> 3x + 2y = 7<br> y = –3x + 11
Gnom [1K]

Answer:

(5,-4)

Step-by-step explanation:

SOLVE BY SUBSTITUTION:

STEP 1: Replace all occurrences of y with -3x+11 in each equation.

-3x+22=7\\y=-3x+11

STEP 2: Solve for x in the first equation.

x=5\\y=-3x+11

STEP 3: Replace all occurrences of x with 5 in each equation.

y=-4\\x=5

6 0
3 years ago
If x is directly proportional to y and x=3.4 when y=2 find y when x=5.1
dlinn [17]
The Answer is b. Hope that helps
5 0
3 years ago
Write the decimal number in words 235.678
ValentinkaMS [17]
Two hundred thirty-five and six hundred seventy-eight thousandths
3 0
4 years ago
Read 2 more answers
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