Rewrite the function by completing the square

h(x)=4x^2+4x+1

Rewrite The Function By Completing The Squareh(x)=4x^2+4x+1

Answers

Answer 1

Answer:

[tex]h(x) = 4(x+\frac{1}{2})^{2}[/tex]

Step-by-step explanation:

[tex]h(x)=4x^2+4x+1\\h(x)=4(x^2+x+\frac{1}{4}) \\h(x)=4(x^2+x+\frac{1}{4})\\h(x) = 4(x+\frac{1}{2})^{2}[/tex]


Related Questions

F(x)=-2x+6 f(-5) step by step

Answers

Answer:

f(x=16

Step-by-step explanation:

f(-5)=-2(-5)+6

f(-5)=10+6

f(-5)=16

in the figure given alongside find angle ACD angle ADC and angle DAE​

Answers

You have not given the figure

PLEASE HELP MEE
can someone tell me the answer?

Answers

The answer is ::::::;0

what is this? i need help please help me

Answers

hope this helps
lmk if u need further explanation

6. Given the implicit curve x^2-ln(x/y)=1 , Write the linear approximation () of the tangent line at (1,1) A) L(x)=-x-2 B) L(x)= -x+2 C) L(x)= -x-1 D) L(x)= -x+1

Answers

Answer:

B) L(x) = -x + 2

Step-by-step explanation:

To find the tangent at (1,1), we differentiate x² - ln(x/y) = 1 with resect to x.

So, x² - ln(x/y) = 1  

x² - (lnx - lny) = 1

x² - lnx + lny = 1

differentiating both sides with respect to x, we have

d{x² - lnx + lny]/dx = d1/dx

dx²/dx - dlnx/dx + dlny]/dx = d1/dx

2x - 1/x + 1/y(dy/dx) = 0

1/y(dy/dx) = 1/x - 2x

dy/dx = y(1/x - 2x)

dy/dx evaluated at (1,1) is

dy/dx = y(1/x - 2x)

= (1)(1/1 - 2(1))

= 1 - 2

= -1

This is the gradient of the tangent line.

To find the equation of the tangent line, we use (y - y')/(x - x') = m where y' = 1, x' = 1 and m = gradient of line = dy/dx = - 1

(y - y')/(x - x') = m

(y - y')/(x - x') = dy/dx

(y - 1)/(x - 1) = -1

cross-multiplying,

y - 1 = -1(x - 1)

expanding the bracket, we have

y - 1 = -x + 1

adding + 1 to both sides, we have

y -1 + 1 = -x + 1 + 1

y = -x + 2

So, L(x) = -x + 2

Please HELP!!! WILL MARK BRAINLIEST!!!

Answers

Answer:

B

Step-by-step explanation:

Very easy its B!

Answer:

it's b

Step-by-step explanation:

hope that it helped you

Antonio purchased adult and child tickets for the fair tickets cost $29.35 for each adult and $17.45 for each child let’s X represent the number of adult tickets purchased and Y represent the number of children tickets purchased right expression to represent the total cost of the tickets Atonio purchased

Answers

Answer:

29.35x+17.45y

Step-by-step explanation:

the adult tickets are 29.35 dollars and are represented as x. then multiply them. the child tickets are 17.45 dollars and are represented as y. multiply them too. then add them but don't put an equal sign. now that's an expression.

if x^2 = 30, what is the value of x?

Answers

Answer:

it would be the square root of 30 because it doesnt simplify im pretty sure

Step-by-step explanation:

Answer:

hey! the answer is 5.47722557505

Step-by-step explanation:

this is because you just take the square root of 30 :)

Solve the system of equations by substitution:
y= x - 2
x+y=12

A. (7,5)
B. (5,3)
C. (0, 1)
D. (14, 12)

Answers

Answer:

y=x-2so ...

x+(x-2)=12

2x-2=12

2x=12+2

2x=14

x=14/2

x=7

x+y=12

7+y=12

y=12-7

y=5

What is the correct answer? ​

Answers

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

10(3+5k³)

(10*3)+(10*5k³)

30+50k³

Hope this helped :)

Which of the following capital letters is a reflection image of itself across a horizontal line?​

Answers

Answer:

H is the reflection of itself in the horizontal line

Answer:

A is a reflection across the vertical

If Bryson had 1/4 of g pie, and he wanted to split il
four different ways for his friends, how much pie
would each friend get?
HELP

Answers

Answer:

1/16

Step-by-step explanation:

Since he has a fourth of a pie and he is splitting it into 4 that would make 16 pieces of the whole pie and they are each getting 1/16

Find x if 75% of x = 27.​

Answers

36

that is the answer

Answer:

36%

Step-by-step explanation:

"Percent'' or ''%'' means ''out of 100'' or '' per 100'',

Therefore x% can be written as x/100.

So we can write and solve for x;

27/75= x/100

100 X 27/75 = 100 X x/100

2700/75 = 100 X x/100

36=x

27/75= 36/100= 36%

Hope this helped

how many times greater is 1,560,000 than 260,000

Answers

6 times greater djdjjdjd

I need actual help is anyone great at Algebra 1 because I understand nothing
if you are not please don't answer

Answers

Answer:

submarine traveled 100 miles in 5 hours.Ship traveled 80 miles in 4 hours.

Step-by-step explanation:

Which graph represents the function f(x) = 4|x|?

Answers

Answer:

pick a graph from google

Step-by-step explanation:

there is prablly some u can pick from

Answer:

graph B

Step-by-step explanation:

i used desmos graphing calc

Which represents the equation 6 x + 3 y = 12 when solved for y?
y = negative 2 x + 4
y = 2 x + 4
y = negative 2 x minus 4
y = 2 x minus 4

Answers

Answer:

y=(-x+2)

Step-by-step explanation:

6x+3y=12

6x+3y-6x=12-6x Subtracting 6x from both sides

3y=12-6x Simplifying

3y/3=12/3-6x/3 Divide both sides by 3

y=(-x+2) Simplifying

Answer:

the answer is C. y=2x+4

have a good day <3

remember to take care of yourself :)

Step-by-step explanation:

which shape has at least one 1 right angle

Answers

What do squares, rectangles, and right triangles have in common? They all contain at least one right angle!

What shape has at least one right angle?

rectangle

A rectangle is a four-sided shape where every angle is a right angle (90°). Also, the opposite sides are parallel and of equal length.

The shapes which contain at least one right angle from the given shapes are the first and third figures.

Given are four shapes.

It is required to find the shape with at least one right angle.

Now, right angles can be defined as the angle whose measure is exactly 90 degrees.

Anything measure of angle which is less than or greater than 90 degrees is not a right angle.

Consider the first figure.

There are 2 right angles marked in squared shape inside the shape in the right part.

So, the first figure contains the right angle.

In the second figure, all angle measures are 108 degrees. So none is a right angle.

In the third figure, all the angles are right angles since all are marked as squares.

In the last figure, the angle measures are only 73° and 107°. So, this is not right angles.

Hence, the options are first and third figures.

Learn more about Right Angles here :

https://brainly.com/question/3770177

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The complete question is given below:

over a four year period lakeisha thompson purchased shares in the oakmark i fund

Answers

Answer:

hello your question is incomplete attached below is the complete question

answer : $6000

Step-by-step explanation:

A) calculate the total amount invested at the end of four years

∑ invested amount for four years

= $1500 + $1500 + $1500 + $1500

= $6000

The use of the dollar cost of averaging helps to minimize the cost of shares and as well as prevent the effects of the sudden moves of shares value

What is the value of k? Please provide an explanation, thanks!!

Answers

Answer: k = 19

because (6k+31)°  is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Step-by-step explanation:

Answer:

Step-by-step explanation:Answer: k = 19

because (6k+31)° is the outer angle of the triangle

=> (6k+31)° = (3k - 12)° + (6k - 14)°

⇔ 6k + 31 = 9k - 26

⇔ 9k - 6k = 31 + 26

⇔ 3k = 57

⇔ k = 57/3 = 19

Step-by-step explanation:

How many degrees represents 1 person ?

Answers

Step-by-step explanation:

12 degrees is 1 person

360÷30people=12

12 for 1 person

thanks for the ez question im doing a challenge TvT

Whats the slope of the line shown in the graph?

Answers

Answer:

3/2

Step-by-step explanation:

I know this answer is correct, because I did it on edge.

Keri is simplifying 5·10−3 which is equivalent to 8/10^-2

Answers

Answer:

c

Step-by-step explanation:

Answer:

I just did this test the answer is A, 800.

Step-by-step explanation:

Given two triangles △ABC and △A′B′C′ so that AB = A'B′ (Side), m∠A = m∠A′ (Angle), AC = A ′ C ′(Side). Then the triangles are congruent.
USE STATEMENTS AND REASONS

Answers

The answer abc try it out hope it works

She buys packages of 12 trading cards to add to her collection. After she adds 16 packages to her existing collection, she has a total of 274 cards.

Write a function to model the size of Sabrina’s collection.

Enter the correct equation in the box.

Answers

Answer:

x + (12x16) = 274

Step-by-step explanation:

each package = 12

16 packages

16x12= 192

x + 192 = 274

274-192=82

x =  82

The function to model the size of Sabrina’s collection is x + (12× 16) = 274.

What is Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides. LHS = RHS is a common mathematical formula.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given:

Total cards =  cards

Each package = 12

let the size of Sabrina collection be x

Then, x + (12× 16) = 274

x + 192 = 274

x =  274- 192

x= 82

Hence, the function to model the size of Sabrina’s collection is x + (12× 16) = 274.

Learn more about equation here:

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2)write 2/5 as persant

Answers

Answer:

40%

Step-by-step explanation:

2/5 = .4 = 40%

Solve: Use Substitution
8x + 4y = 12
y = -2x + 3


Please help me!

Answers

Answer:

(x,y) =(3/14,3/14)

Step-by-step explanation:

8x+ 4y=-2x+3           WRITE AS SYSTEM OFEQUATIONS

12y=-2x=3                  simplify expressions

10x +4y =3

2x+12y=3 .......multiply both sides of the equation by -5

10x +4y=3

-10x -60= -15        sum both equations to eliminate a variable  (10x cancels

                                                                                                      and 3+-5 +-12

-56y= -12          divide both side by -56                                                                                

y=3/14

2x+12x3/14=3    substitute the given value of y into the equation

x=3/14

whats the slope of (10,9),(1,2)

Answers

Answer:

-7/-9

Step-by-step explanation:

m=y2-y1/x2-x1

2-9=(-7)

1-10=(-9)

-7/-9

hope this helps :3

if it did pls mark brainliest

Is 5 a rational number

Answers

Answer:

Yes, 5 is a rational number.

Answer:

yes it is a rational number

PLZ JUST GIVE ANSWER IDC ABOUT EXPLANATION

Answers

Answer:

f(1) = 1

General Formulas and Concepts:

Pre-Algebra

Reading a Cartesian PlaneEvaluating functions from a graph

Step-by-step explanation:

f(1) is x = 1. The question is asking for the y-value, or f(x) value, when x = 1.

According to the graph, when x = 1, y = 1.

Therefore, f(1) = 1.

It’s 1 bro look at the x axis of 1 and u see that the thingy is also on the y axis of 1
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