f(x) = 8x^2 + 8x - 12 in vertex form

Answers

Answer 1

Answer:

f(x) = (x + 4)² - 4

Step-by-step explanation:

Write the equation f(x) = x² + 8x + 12 in vertex form by completing the square:

f(x) = (x² + 8x + (8/2)²) + 12 - (8/2)²

Simplify:

f(x) = (x² + 8x + 16) + 12 - 16

Subtract to find the 'k' value:

f(x) = (x + 4)² - 4. This is the equation in vertex form.

Answer 2

Answer:

y=8x2+8x−12

Step-by-step explanation:

Rewrite in vertex form and use this form to find the vertex (h,k).

(4,4)

F(x) = 8x^2 + 8x - 12 In Vertex Form

Related Questions

please find the value of x!

Answers

Answer:

the equation would be 9x+1=30

Pls anyone help i will give brainlist

Answers

Answer:

D

Step-by-step explanation:

sry if im wrong i tried

Answer:

0; 1; 2; 3. The slopes are 2, 0, 1, 3 from top to bottom, but from least to greatest it is 0, 1, 2, 3

will give brainly for whoever answers first!!

Answers

Answer:

B

Step-by-step explanation:

hope this helped

-B

Please help!
Karl bought ​312​ gallons of milk that cost $2.70 per gallon.

What was the total cost of the milk?

Enter your answer in the box.

$

Answers

Answer:

you have to divide the gallons with the money per gallon

Step-by-step explanation:

Answer:

$842.40

Step-by-step explanation:

2.70 x 312

Help me due in 5 minutes HELP ASAP

Answers

Answer:

J.

Step-by-step explanation:

It crosses through (0,0) and has a slope of 2.5 or rather 5/2 because when the x value is at 4 the y value is at 10 that simplifies to 5/2 or 2.5.

i need the answers asap :) please actually answer! i give lots of points :)

Answers

Answer:

I say 65 hours hope it helps

Step-by-step explanation:

1) Mrs. Houser is baking cookies for an elderly neighbor. She decides to make half of this cookie recipe since she doesn't need the whole thing. Look at the recipe and then answer the questions below ​

Answers

Answer:What’s the question that we have to answer?

Step-by-step explanation:

Answer: it would be 2 1/3 cups

Step-by-step explanation:

tell whether this sequence is arithmatic. If it is, what is the common difference. 10, 15, 21, 28

Answers

Answer:

No this is not arithmetic this is geometric

Step-by-step explanation:

10 to 15 is a increase of 5

15 to 21 is a increase of 6

21 to 28 is a increase of 7 arithmetic have to have steady increases

Answer:

Hola!

Step-by-step explanation:

PLEASE HELP WITH THE PIC

Answers

D? Tell me if you got it right

This is the problem ......

Answers

Answer:

4/18

Step-by-step explanation:

Find the value y from the given figure

Answers

Answer:y=28

Step-by-step explanation:

40+3y+2y=180

Subtract 40

3y+2y=140

Combine like terms

5y=140

Divide

y=28

Whitney's bill at a diner came up to $26.00. What would her total be if she included a 20% tip?

Tax using the percent equation.

Answers

20% of 26 is 5.2.

So Whitney would include a $5.20 tip which would make the total $31.20.

Please mark as Brainliest if it helped!

Azel has 10 apples and Emily has 5 apples
Where does emily live?

A. Port geese 2546

B. In Atlanta

C. Nowhere

D. All the above

Answers

Answer: I think all of the above

Step-by-step explanation:maybe there traveling so…

Find the 15th term of the arithmetic sequence whose common difference is d=9 and whose first term is a, = 2.

Answers

Nose rkrbtje de donde salió la luz de

Henry places x marbles into an empty bucket.Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown

Answers

Complete Question:

Henry places x marbles into an empty bucket.  Each marble has the same weight. The weight, in ounces, of the bucket and marbles can be calculated using the expression shown: ​3x + 8

What does the term 8 represent in this expression?

Answer:

The weight of the bucket

Step-by-step explanation:

Given

[tex]Weight = 3x + 8[/tex]

Required

What does 8 represent?

The given expression illustrates the weight of the whole system i.e. bucket and marbles

i.e.

[tex]Weight = Weight\ of\ x\ marble + Weight\ of\ Bucket[/tex]

Since there are x marbles, by comparison:

[tex]Weight\ of\ x\ marble = 3x[/tex]

[tex]Weight\ of\ bucket = 8[/tex]

Hence, 8 represents the weight of the bucket

Find a polynomial function with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5

Answers

Given:

Zero: 2, multiplicity: 3

Zero: 0, multiplicity: 2

Degree: 5

Leading coefficient = 1

To find:

The polynomial function.

Solution:

The general form of a polynomial is

[tex]P(x)=a(x-c_1)^{m_1}(x-c_2)^{m_2}...(x-c_n)^{m_n}[/tex]

where, a is a constant, [tex]c_1,c_2,...,c_n[/tex] are zeroes with multiplicity [tex]m_1,m_2,...,m_n[/tex].

Using the given information and the general form of a polynomial, we get

[tex]P(x)=a(x-2)^{3}(x-0)^{2}[/tex]

[tex]P(x)=ax^2(x^3-6x^2+12x-8)[/tex]

[tex]P(x)=a(x^5-6x^4+12x^3-8x^2)[/tex]

Leading coefficient is 1, so the value of a is also 1.

[tex]P(x)=1(x^5-6x^4+12x^3-8x^2)[/tex]

[tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex]

Therefore, the required polynomial is [tex]P(x)=x^5-6x^4+12x^3-8x^2[/tex].

The polynomial for the conditions with leading coefficient 1 that has the given zeros, multiplicities, and degree. Zero: 2, multiplicity: 3 Zero: 0, multiplicity: 2 Degree: 5 is given as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

According to the given condition

The given conditions to write the polynomial equations are as follows

Zero 2  and Multiplicity 3

Zero 0 and Multiplicity 2  

Degree of polynomial expression  = 5

Leading coefficient of polynomial expression = 1

Let us consider the polynomial equation has only one variable and hence in general form we can write the equation of polynomial as follows

[tex]\rm y (x) = a(x-\alpha)^m (x-\beta)^n........(1)\\Where \\a = Leading \; coefficient\; of\; polynomial\; expression \\\alpha ,\beta = Roots \; of \; the\; polynomial\; expression\\m\; and \; n \; are \; multiplicities \; of \; the \; roots \; \alpha,\beta \; respectively\\Degree = m+n[/tex]

From the general form of polynomial expression as shown in equation (1) we can write

Polynomial expression for the given  conditions is formulated in equation (2)

[tex]\rm y(x) = 1\times (x-2)^3(x-0)^2 .......(2)[/tex]

So the polynomial for the conditions given in question is expressed as

[tex]\rm\bold{ y(x) = 1\times (x-2)^3(x-0)^2 }[/tex]

For more information please refer to the link given below

https://brainly.com/question/15301188

three more than the quotient of a number and 7 is at most 92. Find the number

Answers

Answer:

The number is 623.

Step-by-step explanation:

[tex]\frac{x}{7}+3 =92\\\frac{x}{7} =89\\x=623[/tex]

help plz as soon as possible ​

Answers

When you substitute those numbers in and solve the answer is 34.5

A tv costs £800 plus VAT at 20%.
What is the total cost of the TV?​

Answers

Answer:

Step-by-step explanation:

800+20%

20%= (20/100)

800/100=8*20=160

add to original price= 800+160=960

Why are they parallel?

Answers

Answer:

a and d are parallel

Step-by-step explanation:

. Give the domain and range of the relation please help this is for my math hw​

Answers

Answer:

for the domain, find the point on the farthest side (the left) and the closest (the right)

so for yours it would be [-3,2]

it's brackets because the points are closed.

for the range, same thing but for the y intercept.

so it's [-2,4]

there's your answer!

Which shows one way to determine the factors of x3 + 5x2 – 6x – 30 by grouping?

Answers

Answer:

Work shown below;

Step-by-step explanation:

Factor by grouping:

[tex]x^{3}+5 x^{2}-6x-30\\(x^{3}+5 x^{2}) (-6x-30)\\x^{2} (x+5)-6(x+5)\\(x^{2}-6 )(x+5)[/tex]

Snow is falling steadily in Syracuse, New York. After 2 hours, 4 inches of snow has fallen. Write an equation that gives the amount of snow that has fallen after x hours at this rate.

y = ?

Answers

Answer:

y=2x

it already gives you that in 2 hours four inches of snow has fallen. to find one hour you would basically just divide it in half

Write these as normal numbers.
a)
5.1 x 10^8
b)
9.6 x 10°
c) 2.44 x 10
d)
5.023 x 100

Answers

Answer:

a) 510000000 c) 24.4 d) 502.3

Step-by-step explanation:

Given f(x) = -2x³ + x² - 2 find f(1) -3 -1 1 3

Answers

Answer:

-3

Step-by-step explanation:

Substitute -1 into the expression for every place of x, and evaluate it.

8. Given: GI +JL, GH = KL
Prove: HI~=JK

Answers

is there supposed to be a diagram with this?

Answer: the length of GH is half the length of KL

Step-by-step explanation: edge 2021

Marissa knits caps that she supplies to several baby stores. She purchases five bundles of yarn for $62.50. Select the
quantities that would best help determine how many bundles of yarn she will need per month to knit caps.
ОА. .
amount of yarn needed for each cap and number of caps knitted in a month
OB. cost to produce each cap and price per bundle of yarn
OC. number of caps knitted in a month and cost to ship the caps to each store
OD. price per bundle of yarn and amount of yarn needed for each cap

Answers

Answer:

I think OA because you would need to know how much yarn for each cap and how many caps she will make

Which point lies on the graph of the equation 3x+y=9

A. (-1,9) b. (9,0) c. (1,1) d. (0,9)

Answers

Correct answer:

D. (0,9)
The answer to your question is D

A dice is rolled.
What is the probability of getting a 2 or
a 4?

Answers

Answer:

1/3 or 3.33

Step-by-step explanation:

There are 6 sides to dice, and to land on one side is a 1/6th of a chance. to land on 2 possible sides, you do 1/6+1/6 which equals 2/6 which is equivalent to 1/3 or 3.33 as a decimal.

I hope this helps and good luck!

Answer:

1/3 or 3.3333333333333333333 repeating

Step-by-step explanation:

A normal dice has 6 sides. You are asking the probability of getting two of them. 2 ÷ 6 = 1/3, or 33.3 repeating

I Hope That This Helps! :)

HELP PLZZ ITS DUE TODAY I WILL MARK BRAINEST

Answers

i plotted the points in this photo. hope it helps :)
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