y=2x^2+12x+14 in vertex form

Answers

Answer 1

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

  = 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

  = 2(x + 3)² - 18 + 14

  = 2(x + 3)² - 4 ← in vertex form


Related Questions

find the solution of given expression,

[tex] \sqrt{128 \times 2} [/tex]

Answers

Answer:

solution:

[tex] \sqrt{128 \times 2} [/tex]=[tex] \sqrt{16²} [/tex]=±16 is your answer

Original price: $330 discount percent: 15%

Answers

Answer:

$280.5

Step-by-step explanation:

Answer:

$280.5

is the answer <3

A man has Rs 1900. he lent some of it at 5% p.a and rest at9% p.a. The total amount of interest which he got after4 years was Rs 580.Wwhat was the sum
ans= Rs650,Rs 1250​

Answers

Answer:

The sum is Rs 1,250 and Rs 650

Step-by-step explanation:

Let the amounts be represented as $x and $y

The sum of both is 1900

Thus;

x + y = 1,900 •••••(i)

Mathematically, the interest on the amount borrowed is;

I = PRT/100

where p is the principal, representing the amount borrowed

R is the rate

T is the time

for the first amount of $x ; we have interest as;

I = (x * 5 * 4)/100 = 20x/100

for the second, we have

I = (y * 9 * 4)/100 = 36y/100

The sum of both is 580

Thus;

20x/100 + 36y/100 = 580

20x + 36y = 58000 •••••(ii)

From equation i;

x = 1,900 - y

Substitute this into equation ii

We have this as;

20(1900-y) + 36y = 58,000

38000 - 20y + 36y = 58,000

16y = 58000 - 38000

16y = 20,000

y = 20,000/16

y = 1250

From equation 1;

x + y = 1900

x = 1900-y

x = 1900-1250

y = 650

Can someone help me please

Answers

Answer:

6*6+16*20

=320+36

=356 so it's C

Answer:

C: 356 sq ft.

Step-by-step explanation:

Imagine a rectangle filling the empty space in the polygon.

Using this, we get 440 sq ft.

Now subtract the area that you filled in.

440-(14x6)=A

440-84=A

356=A

What is the probability of landing on a 9 and then landing on a 7?​

Answers

Answer:

what are we landing on? D 10s D20s?...

Step-by-step explanation:

:/

There are 200 marbles in the bag. John picks 10 marbles out of
the bag and 6 of them are red. What would be an estimate for
the number of red marbles in the bag?

Answers

Answer:

120

Step-by-step explanation:

10 x 20 = 200

thus 6 x 20 is 120

PLEASE ANSWER FAST
Which expression is equivalent to 5x + 5y + 5y?

a) 5xy
b) 5×10y
c) 5+xy
d) 5x + 10y

Answers

Answer:

A

I took a picture of your mom and my phone ran out of storage.

Answer: D) 5x + 10y

Why?
Because 5y+5y = 10y
You can add up 5y and 5y because they are the same.

image down below plz help

Answers

Answer:

A

Step-by-step explanation:

I feel strongly that it is A.

Jameson is seeking a loan with a simple interest rate of 3% per year. If he wants to borrow $8,000, the interest charge after 4 years will be

Answers

Answer:

$960

Step-by-step explanation:

8000*0.03=240

240*4=960

Please help.
Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.

Answers

The answer is c
To square it you would just do (5x-4y)(5x-4y)

I don’t know this and I need help thank u ppl

Answers

Answer:

100 square feet

Step-by-step explanation:

36 square feet = 6 feet sides

64 square feet = 8 feet sides

6^2 + 8^2 = 10^2

10^2 = 100

A baby's crib has an area of 690:square inches and a perimeter of 106 inches.What are the dimensions of the crib

Answers

Answer:

The crib is 30 inches wide and 23 inches long.

Step-by-step explanation:

Assuming that the crib is rectangular, then the crib has a length L and a width W.

And remember that for a rectangle of width W and length L, the perimeter is:

P = 2*L + 2*W = 2*(L + W)

And the area is:

A = L*W

In this case, the perimeter is 106 in, then:

P = 106in = 2*(L + W)

And we also know that the area is 690 in^2

Then:

A = 690in^2 = L*W

Then we have a system of equations:

106in = 2*(L + W)

690in^2 = L*W

To solve this, first, we need to isolate one of the variables in one of the equations.

Let's isolate L in the first one:

106in/2 = L + W

53 in = L + W

53in - W = L

Now we can replace this in the other equation:

690in^2 = L*W = (53in - W)*W = 53in*W - W^2

690in^2 =  53in*W - W^2

Now we need to solve this for W.

This is a quadratic equation:

W^2 - 53in*W + 690 in^2 = 0

The solutions of this equation are given by Bhaskara's formula:

[tex]W = \frac{-(-53in)\pm \sqrt{(-53in)^2 - 4*1*(690in^2)} }{2} = \frac{57in \pm 7in}{2}[/tex]

Then the two possible solutions of W are:

W = (53in + 7in)/2 = 30in

W = (53in - 7in)/2 = 23in

We can choose any one of these, so let's choose W = 30in

If we replace this in the equation: "53in - W = L"

We can find the value of L:

53in - 30in = 23in = L

Then we have:

W = 30in

L = 23in

Is algebra.
PLEASE HELP NO LINKS OR FILES.
I don't want links.
I don't want links.
I don't want links.
I don't want links.

Answers

Answer:

In the first one answer is r²

In second one answer is 3

Step-by-step explanation:

Yes it is Algebra with different powers

In first one (6r4+4r) +(__- 2r4 + 3r) = 4r4 + r2 + 7r

Like terms are added:

6r^4- 2r^4 + 4r  + 3r +____ = 4r^4 + r2+ 7r

4r^4+7r +___ = 4r^4 + r^2 + 7r

Therefore ___ = r^2

In second one:

(__ -8x - x^2)-(4x^2 -7 +6x) = -5x^2 +14x +10

Open the brackets

__  -8x - x^2-4x^2 +7 -6x = -5x^2 +14x +10

Add like terms

__ -14x -5x^2  + 7=  -5x^2 +14x +10

Therefore

___ + 7 = 10

___ = 10 -7 = 3

CAN SOMEONE PLZ HELP ME?? PLZ DO YOU KNOW ABOUT Coordinate Planes??!! AHH

Answers

Answer:

Step-by-step explanation:

Answer:

point A is (0.75, 0.75)

Step-by-step explanation:

Can someone plz help me with this one problem plz!!!

Answers

Answer:

Yes

Step-by-step explanation:

Since Lucia was not able to see which shirt she was picking, ( i think), this would be random.

Find the value of x that makes the quadrilateral a parallelogram.
2x + 3
X +7

Answers

Answer:

the value of x is 4

Step-by-step explanation:

i think that is the value of x

This helped me so much thank you!!!!!!

Answers

Answer:

Your profile picture I love it

Please Help me with this question. Will give Brainllest

Answers

Answer:63

Step-by-step explanation:

Graph
plz step by step

Answers

Answer:

Step-by-step explanation:

The equation shown in the question can be seen graphed in the image attached below. As you can see with the graphed equation the variable x can be any real number except for -1. This is because a -1 would cause the denominator of the fraction to be equal to 0, and a fraction with a denominator as 0 is a null value and does not exist.

Explain how solving -7y > 161 is different from solving 7y > -161.
help will give brinlest

Answers

Answer:

Dividing with negatives will result in a flip in the signs.

Step-by-step explanation:

In the first equation, -7y>161, if you solve it, you will need to divide both sides by -7.

[tex]-7y > 161\\ \\\\[/tex]

Since you are involving a negative, you will have to switch the signs. That means that if you have solved this, the answer would be:

y < -23

Notice the change in signs.

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

Now in the second equation, the constant (161) is negative. So if you solve this,

[tex]7y > -161[/tex]

You will only need to divide both sides by 7, which is a positive number. That leaves the sign to stay the same, so the answer would be:

y > -23-----------------------If you look at the signs in both answers, they are flipped.Have a nice day!

Help with question 9 please .

Answers

Answer:

I wanna say that it's A. curved lines.

Please help no fake answers or links please

Answers

D none of them fit the data set.

Answer:

I think B as all the dots are near the line B

[tex]\mathtt{: )}[/tex]

Sakura wants to analyze the effect of drinking alcohol on the functioning capacity of the liver. Her two research associates will conduct two separate studies about the same topic. Ricochet use an experiment approach. Tituba will use an observation study approach. Determine what will be the difference between both studies.

Answers

Answer:

They will come out as the same but the process of the study might have a different time stamp of the study or they might see different things happening in the process.

Step-by-step explanation:

Ben bought 3.2 pounds of oranges.
The oranges cost $1.60 per pound.
How much money did Ben spend on
oranges?

Answers

Answer:

$5.12

Step-by-step explanation:

Multiply the cost per pound price by how many pounds of oranges Ben bought

1.60 * 3.20 = 5.12

5 friends ate pizza . Each friend ate 2/3 of a pizza . How much pizza did they eat in total..ASAP PLEASE

Answers

Answer:

3 1/3 pizzas

Step-by-step explanation:

5 * (2/3) = 10/3 = 3 1/3 pizzas

Answer:

3 and 1/3 pizzas

is how many pizzas u need

James needs to fill in three blanks with letters. Find the number of ways he can fill them in if:
a. the letters can be repeated
b. the letters cannot be repeated

Answers

Answer:

A. The letters can be repeated

Step-by-step explanation:

Hope it helps

#CarryOnLearning

Sonya has 5 sandwiches. She cuts each sandwich into fourths and gives away 6 pieces. How many 1/4 size sandwiches does she have now?

Answers

Answer:

She has 14 1/4 pieces left

Step-by-step explanation:

5 divided into 1/4 pieces will be 20. 20-6 equals 14. :)

use commutative property to write an expression equivalent to 5 + 7 + 9

ASAP

Answers

Just move around the numbers for example, 7+9+6 would be commutative property

PLEASE HELP ME RIGHT AWAY!!!!!!

Answers

Answer:

C) increase by 0.25

Step-by-step explanation:

5 - 4.75 = +0.25

Answer:

The answer is C

Step-by-step explanation:

If you add 7 to the list then the number/mean will increase by 0.25

I might be wrong so im sorry if i am.

Which is the coefficient in the expression 23y + 5?

Answers

Answer:

23

Step-by-step explanation:

the coefficient is the number attached to the variable

Answer:

23

coefficient-23

variable-y

constant-5

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