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3 years ago

Find the ordered pairs that solve the equation y=12

Mathematics

1 answer:

Rufina [12.5K]3 years ago

6 0

Answer:

Please check the explanation.

Step-by-step explanation:

Given the equation

y = 0.5x

when x = 12

y = 0.5 · (12)

y = 6

when x = 0

y = 0.5(0)

y = 0

when x = 8

y = 0.5(8)

y = 4

when x = 12

y = 0.5(12)

y = 6

Thus, the table is completed such as:

x y

0 0

8 4

12 6

Therefore, the ordered pairs that complete the equation y = 0.5 x are:

(0, 0)

(8, 4)

(12, 6)

The graph of the equation is attached below.

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Step-by-step explanation:

Given:

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Find the y intercepts of 3x^2+24x-51. quadratic formula

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Firstly, starting with the y-intercept. To find the y-intercept, set the x variable to zero and solve as such:

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Your y-intercept is (0,-51).

Next, using our equation plug the appropriate values into the quadratic formula:

$x=\frac{-24\pm \sqrt{24^2-4*3*(-54)}}{2*3}$

Next, solve the multiplications and exponent:

$x=\frac{-24\pm \sqrt{576-(-648)}}{6}\\\\x=\frac{-24\pm \sqrt{576+648}}{6}$

Next, solve the addition:

$x=\frac{-24\pm \sqrt{1224}}{6}$

Now, simplify the radical using the product rule of radicals as such:

Product Rule of Radicals: √ab = √a × √b

√1224 = √12 × √102 = √2 × √6 × √6 × √17 = 6 × √2 × √17 = 6√34

$x=\frac{-24\pm 6\sqrt{34}}{6}$

Next, divide:

$x=-4\pm \sqrt{34}$

The exact values of your x-intercepts are (-4 + √34, 0) and (-4 - √34, 0).

Now to find the approximate values, solve this twice: once with the + symbol and once with the - symbol:

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The approximate values of your x-intercepts (rounded to the hundredths) are (1.83,0) and (-9.83,0).

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