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3 years ago

Determine the two ordered pair solutions of the equation y = 2x2 + 3x , given (0, ), and (-2, ).

Mathematics

1 answer:

Rudiy273 years ago

3 0

Answer:

We conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

Step-by-step explanation:

Given the expression

y = 2x² + 3x

Substituting x = 0

y = 2(0)² + 3(0)

y = 0+0

y = 0

so when x = 0, y = 0

Thus, the ordered pair is: (0, 0)

Now, substituting x = -2

y = 2x² + 3x

y = 2(-2)² + 3(-2)

y = 8 - 6

y = 2

so when x = -2, y = 2

Thus, the ordered pair is: (-2, 2)

Therefore, we conclude that the two ordered pairs (0, 0) and (-2, 2) are the solutions of the equation y = 2x² + 3x.

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2 years ago

Nicole is playing a video game where each round lasts \dfrac{7}{12} 12 7 start fraction, 7, divided by, 12, end fraction of an

Harrizon [31]

Total number of hours she schduled to play the game = 3 $\frac{3}{4}$ hours.

Let us convert mixed fraction into improper fraction

$3\frac{3}{4} = \frac{3*3+4}{4} = \frac{13}{4} \ hours.$

Duration of each round = $\frac{7}{12}$ .

In order to find the number of rounds Nicole can play, we need to divide total number of hours by duration of each round.

$\frac{13}{4}$ ÷ $\frac{7}{12}$

Converting division sign into multiplication flips the second fraction.

$=\frac{13}{4} \times \frac{12}{7}$

Crossing out 12 by 4, we get 3 on the top of second fraction.

$=\frac{13}{1} \times \frac{3}{7}$

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Because problem is about number of rounds.

So, total number of round would be 5.

5 0

3 years ago

Read 2 more answers

Write the standard form of the equation of the circle with the given characteristics. Center: (3, 5); Solution point: (−2, 17)

Angelina_Jolie [31]

$\text{we know that the general equation of the circle is }\\
\\
(x-h)^2+(y-k)^2=r^2\\
\\
\text{where, (h,k) is the center of the circle and r is the radius.}\\
\\
\text{Given that the centered of the circle is at }(h,k)=(3,5)\\
\text{and a solution point on circle is (-2,17).}\\
\\
\text{so the radius of the circle will be the distance between center and the }$

$\text{solution point. so using the distance formula, we have}\\
\\
\text{Radius, }r=\sqrt{(-2-3)^2+(17-5)^2}\\
\\
\Rightarrow r=\sqrt{25+144}\\
\\
\Rightarrow r=\sqrt{169}\\
\\
\Rightarrow r=13\\
\\
\text{Hence using the standard for of circle, equation of circle with center}\\
(h,k)=(3,5) \text{ and radius r=13 is}\\
\\
(x-3)^2+(y-5)^2=(13)^2\\
\\
\Rightarrow (x-3)^2+(y-5)^2=169$

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3 years ago

How to solve y in -(y+9)=10

Allisa [31]

Answer:

Step-by-step explanation:

- (y+9) = 10

Multiply through by -1 gives us

y+9 = -10

Subtract 9 from both sides

y = -19

That's your answer.

If you work it through it satisfies the equation.

That is:

- (-19 +9) = 10

-(-10) = 10

10 = 10

Boo ya!

5 0

3 years ago

What is a solution for 11/12

elena-s [515]

Answer:

It is either 11/12 or 0.91666666667.....

Step-by-step explanation:

Because this can not be actually divided into a "number" like 2 or 5, we can only get a approximate. Like the top answer.

Round to the nearest ten is 0.9

Round it to nearest hundredths is 0.92

7 0

3 years ago