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2 years ago

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]2 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]2 years ago

7 0

Answer:

the answer is A on edgen

Step-by-step explanation:

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mina [271]

Using multiplication signal rules, it is found that:

A: Emma's statement is always false.

B: The result is always negative.

C: Emma's statement is always true.

The rule used for this exercise is as follows:

When two numbers of different signals are multiplied, the result is negative.
When two numbers have the same signal, the result is positive.

Part A:

Three numbers are multiplied, all negative.
The multiplication of the first two result in a positive number.
Then, this positive number is multiplied by a negative number, and the result will be negative, which mean that Emma's statement is always false.

Two examples are:

$-2.5(-3.8)(-2) = 9.5(-2) = -19$

$-2.5(-2)(-0.7) = 5(-0.7) = -3.5$

Part B:

The rule is that the result is always negative.

Part C:

The multiplication of the first two negative numbers result in a positive number.
Then, this positive number is multiplied by another positive number, and the result will be positive, which mean that Emma's statement is always true.

Two examples are:

$-2.5(-3.8)(2) = 9.5(2) = 19$

$-2.5(-2)(0.7) = 5(0.7) = 3.5$

A similar problem is given at brainly.com/question/24764960

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2 years ago

Suppose a local park is rectangular in shape and has a length of 210 yards and a width of 105 yards. What is the length of the d

Otrada [13]

Answer:

234.784 ~ 235

Step-by-step explanation:

One side = 210

other side = 105

a2+b2 = c2

210 ^2 + 105 ^2 = c2

55125 = c ^2

c = $\sqrt{55125}$ = 234.784 ~ 235

hope its right!!!

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2 years ago

Ben simplified this expression (2x^-4y^7 / 3x^3y^2)^3 Analyze bens work. did he simplify the expression correctly? If not, what

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2 years ago

Solve the linear system using substitution

levacccp [35]

Hello there!

3x - y = 3
-x + y = 3

We need to solve 3x - y = 3 for y

Let start by adding -3x to both sides

3x - y = 3

3x - 3x - y = 3 - 3x

-y = 3 - 3x
We cannot leave the variable with a negative sign. We must multiply both sides by -1

-y * -1= (3 - 3x)-1

y = 3x - 3

Substitute 3x -3 for y in -x+y=3

-x + y = 3

-x + 3x - 3 = 3

2x - 3 = 3

2x = 3 + 3

2x = 6

x = 6/2

x = 3

Now substitute 3 for x in y=3x -3

y = 3x - 3

y = 3(3) - 3

y= 9 - 3

y= 6

Thus,

The answer is x=3 and y=6

It is always my pleasure to help students like you :)

As always, I am here to help!

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3 years ago

Which number can each term of the equation be multiplied by to eliminate the fractions before solving? 6 –3/4x +1/3 =1/2 x + 5

irga5000 [103]

Answer:

The number is 12.

Step-by-step explanation:

Given: $6-\dfrac{3}{4}x+\dfrac{1}{3}=\dfrac{1}{2}x+5$