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2 years ago

Please answer question12

Mathematics

1 answer:

Debora [2.8K]2 years ago

8 0

Answer:

bjhbjhjn

Step-by-step explanation:

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WARRIOR [948]

Answer:

$2\,(x-1)^2=4$

which is the first option in the list of possible answers.

Step-by-step explanation:

Recall that the minimum of a parabola generated by a quadratic expression is at the vertex of the parabola, and the formula for the vertex of a quadratic of the general form:

$y=ax^2+bx+c$

is at $x_{vertex}=\frac{-b}{2\,a}$

For our case, where $a=2\,\,, b=-4\,\,,\,\,and \,\,c=-2$ we have:

$x_{vertex}=\frac{-b}{2\,a}\\x_{vertex}=\frac{4}{2\,*\,2}\\x_{vertex}=1$

And when x = 1, the value of "y" is:

$y(x)=2x^2-4x-2\\y(1)=2(1)^2-4(1)-2\\y(1)=2-6\\y(1)=-4\\y_{vertex}=-4$

Recall now that we can write the quadratic in what is called: "vertex form" using the coordinates $(x_{vertex},y_{vertex)$ of the vertex as follows:

$y-y_{vertex}=a\,(x-x_{vertex})^2$

Then, for our case:

$y-(-4)=2\,(x-1)^2\\y=2\,(x-1)^2-4$

Then, for the quadratic equal to zero as requested in the problem, we have:

$y=2\,(x-1)^2-4=0\\2\,(x-1)^2-4=0\\2\,(x-1)^2=4$

5 0

2 years ago

20 - 4x = 2(4 - 8x) This needs solving

Olenka [21]

20 - 4x = 2(4 - 8x)

Make sure to do the parentheses first or factor out first

20 - 4x = 8 - 16x

add 16x to both sides

20 + 12x = 8

Subtract 20

12x = -12

Divide by 8

x = -1

8 0

3 years ago

Read 2 more answers

Find the exact value of the following. Do NOT use labels in your answer and do NOT round your answer. If three pens cost $5.67,

irga5000 [103]

You would do $5.67 divided by three. one pen is $1.89

3 0

3 years ago

Read 2 more answers

PLEAS3E CHECK MY ANSWER

IRINA_888 [86]

I'd say the correct answer is D bc it's talking about the SAS theorem, excuse me if I'm wrong tho.

4 0

3 years ago

8qt equals gallon and qt

joja [24]

Answer:

2 Gallons

Step-by-step explanation:

1 Gallon = 4 quarts

There are 8 quarts, and 8 divided by 4 is 2.

2 Gallons.

5 0

3 years ago