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Trava [24]
3 years ago
9

What is the equation of the axis of symmetry of the graph of y + 3x – 6 = –3(x – 2)2 + 4?

Mathematics
2 answers:
asambeis [7]3 years ago
7 0

ANSWER

x =\frac{3}{ 2}

EXPLANATION

The given equation is

y + 3x - 6 =  - 3(x - 2)^{2}  + 4

Expand the parenthesis:

y  + 3x - 6 =  - 3( {x}^{2}  - 4x + 4) + 4

y  + 3x - 6 =  - 3 {x}^{2}   + 12x +  - 12 + 4

Write in standard form:

y =  - 3 {x}^{2}   + 12x  - 3x+  - 12 + 4 + 6

y =  - 3 {x}^{2}   + 9x-2

where

a=-3,b=9,c=-2

The axis of symmetry is given by the formula:

x =  -  \frac{b}{2a}

Plug the values to get:

x =  -  \frac{9}{ 2(- 3)}

x =\frac{3}{ 2}

The equation of axis of symmetry is

x =\frac{3}{ 2}

liraira [26]3 years ago
7 0

Answer:

the answer is A on edgen

Step-by-step explanation:

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4 0
3 years ago
Need help thanks!!!!!!
kherson [118]

Answer:

<h2>1.5</h2>

Step-by-step explanation:

-----------------------------

Here's how we solve the equation

-1.2\left(3-x\right) = -1.8

-1.2\left(3-1.5\right) = -1.8

-3.6+1.2\cdot1.5 = -1.8

1.2\cdot1.5 = -1.8

-----------------------------

<em>Hope this helps! <3</em>

5 0
2 years ago
If a 12 foot ppiece of electrical tape has 5 pieces that are each 1.45 feet cut from it, what is the new length of the tape?
liberstina [14]
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6 0
3 years ago
Help extra points please !
blsea [12.9K]

Answer:

C. -1 is less than x

Step-by-step explanation:

-3 < 4x + 1

-3-1 < 4x +(1 -1)

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6 0
2 years ago
If someone could please help me, I want to make sure that the steps are correct.
Leya [2.2K]
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We can see this when we rearrange the equation, as:

E = mc²
÷ m
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So you got all the steps in rearranging correct :)


I hope this helps!
7 0
3 years ago
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