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Anarel [89]
3 years ago
12

Can yall plz help me answer this!!!

Mathematics
2 answers:
Anettt [7]3 years ago
5 0

Answer:

n = -3

Step-by-step explanation:

The first step you want to do is try to get rid of those parenthesis and to do that you want to distribute the 6 into 1/3n and 2/3 and you get

4n + 2 = \frac{6}{3}n - \frac{12}{3}

that can be simplified to

4n + 2 = 2n - 4

subtract 2n from both sides and you get

2n + 2 = -4

subtract 2 from both sides

2n = -6

divide both sides by 2 you get

n = -3

Lady_Fox [76]3 years ago
3 0

Answer:

n= -3

Step-by-step explanation:

Step 1: Simplify both sides of the equation.

4n+2=6(

1

3

n−

2

3

)

4n+2=(6)(

1

3

n)+(6)(

−2

3

)(Distribute)

4n+2=2n+−4

4n+2=2n−4

Step 2: Subtract 2n from both sides.

4n+2−2n=2n−4−2n

2n+2=−4

Step 3: Subtract 2 from both sides.

2n+2−2=−4−2

2n=−6

Step 4: Divide both sides by 2.

2n

2

=

−6

2

n=−3

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Answer:

y = -3(x - 4)² - 2

Step-by-step explanation:

Given the vertex, (4, -2), and the point (2, -14):

We can use the vertex form of the quadratic equation:

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a  =  determines whether the graph opens up or down, and it also makes the parent function <u>wider</u> or <u>narrower</u>.

  • <u>positive</u> value of a = opens <u><em>upward</em></u>
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  • a is between 0 and 1, (0 < a < 1) the graph is <u><em>wider</em></u> than the parent function.
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<em>h </em>=<em> </em>determines how far left or right the parent function is translated.

  • h = positive, the function is translated <em>h</em> units to the right.
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<em>k</em> determines how far up or down the parent function is translated.

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Now that I've set up the definitions for each variable of the vertex form, we can determine the quadratic equation using the given vertex and the point:

vertex (h, k): (4, -2)

point (x, y): (2, -14)

Substitute these values into the vertex form to solve for a:

y = a(x - h)² + k

-14 = a(2 - 4)²  -2

-14 = a (-2)² -2

-14 = a4 + -2

Add to to both sides:

-14 + 2 = a4 + -2 + 2

-12 = 4a

Divide both sides by 4 to solve for a:

-12/4 = 4a/4

-3 = a

Therefore, the quadratic equation inI vertex form is:

y = -3(x - 4)² - 2

The parabola is downward-facing, and is vertically compressed by a factor of -3. The graph is also horizontally translated 4 units to the right, and vertically translated 2 units down.

Attached is a screenshot of the graph where it shows the vertex and the given point, using the vertex form that I came up with.

Please mark my answers as the Brainliest, if you find this helpful :)

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