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use completing the square to rewrite quadratic function into the form y=a(x+h)²+k
f (x) =4x²+6x-3 (1 point)​

Help ASAPHelp ASAPuse Completing The Square To Rewrite Quadratic Function Into The Form Y=a(x+h)+kf (x)

Answers

Answer 1

Answer:

The second:   [tex]\bold{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]

Step-by-step explanation:

                            [tex]f (x) =4x^2+6x-3\\\\f (x) =4(x^2+\frac64x]-3\\\\f (x) =4[x^2+2\cdot x\cdot\frac34+(\frac34)^2-(\frac34)^2]-3\\\\f (x) =4[(x+\frac34)^2-(\frac34)^2]-3\\\\f (x) =4(x+\frac34)^2-4(\frac34)^2-3\\\\f (x) =4(x+\frac34)^2-\frac94-\frac{12}4\\\\\underline{f (x) =4(x+\frac34)^2-\frac{21}4}[/tex]


Related Questions

If ∠1 and ∠2 are complementary, m∠1 = (8x-6)°, and m∠2 = (14x+8)°
URGENT PLEASE HELP

Answers

Answer:

D

Step-by-step explanation:

6. Complete la tabla con el número 4.956: Dígito Valor posicional Notación estándar Notación en potencia De esta forma el número 4.956 puede escribirse como: 7. Fernando tiene 12 cuadrados de cartulina y Catalina tiene 16. Si ambos disponen sus cuadrados uno aliado del otro, ¿cuál de los dos niños puede formar un cuadrado? 8. Escriba las siguientes cifras como notación científica. Número: Notación científica: 45000000 0,000000000000056 0,000000000034

Answers

Answer:

6. Miles  [tex]{}[/tex]     cientos       decenas      unidades

  4   [tex]{}[/tex]              9                5               6

7. Catalina podrá hacer un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Step-by-step explanation:

6. Los valores posicionales de dígitos son;

Miles  [tex]{}[/tex]     cientos       decenas      unidades

4   [tex]{}[/tex]              9                5                   6

 

7. El número de cuadrados que tiene Fernando = 12

El número de cuadrados que tiene Catalina = 16

El largo y el ancho de un cuadrado son iguales, por lo tanto tenemos;

largo × ancho = Área del cuadrado

largo = ancho = lado del cuadrado

Lado del cuadrado × Lado del cuadrado = Área del cuadrado

(Lado del cuadrado) ² = Área del cuadrado

Lado del cuadrado = √ (Área del cuadrado)

Para Fernando, Área del cuadrado = 12

Lado del cuadrado para Fernando = √12 = 2 · √3 cartones

Para Catalina, Área del cuadrado = 16

Lado del cuadrado para Catalina = √16 = 4 cartones

Por tanto, Catalina podrá realizar un cuadrado con longitud lateral de 4 cartones

8. 45000000 = 4.5 × 10⁶

0.000000000000056 = 5.6 × 10¹⁴

0.000000000034 = 3.4 × 10¹¹

Find the area of the rectangle contained within the following four lines

x =1, x = -2 , y= -3, y=2



How do you do this please help with this question pleaseeeeeee if you give good explanation I will make you brain list thing. This is a linear relation ship question. PLEASE HELP WITH THIS QUESTION

Answers

Answer:

should be 15 hope I helped you out.

Step-by-step explanation:

Answer:

15 sq unit

Step-by-step explanation:

Easiest way to understand this question is to plot the lines on the graph which will give you a rectangle with four sides at given points.

the length of the said rectangle will be l = 1 + (-2)

and the breath b = 2 + (-3)

Area= lxb = 15 sq.unit

Write an expression that is equivalent to three over five (3y + 15). (4 points)

A three over five y + 9

B three over five y + 15

C nine over five y + 9

D nine over five y + 15
HELP ASAP

Answers

Answer:

The equivalent to three over five (3y + 15) is nine over five y + 9 ⇒ C

Step-by-step explanation:

Let us solve the question

∵ Three over five means [tex]\frac{3}{5}[/tex]

∴ Three over five (3y + 15) = [tex]\frac{3}{5}[/tex] (3y + 15)

→ By using the distributive property, multiply each term inside the

   bracket by three over 5

∴  [tex]\frac{3}{5}[/tex] (3y + 15) =  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15)

→ Multiply three over five by 3y

∵  [tex]\frac{3}{5}[/tex] (3y) =  [tex]\frac{3(3)}{5}[/tex] (y) =  [tex]\frac{9}{5}[/tex] y

→ Multiply three over five by 15

∵  [tex]\frac{3}{5}[/tex] (15) =  [tex]\frac{3(15)}{5}[/tex] =  [tex]\frac{45}{5}[/tex] = 9

∴  [tex]\frac{3}{5}[/tex] (3y) + [tex]\frac{3}{5}[/tex] (15) = [tex]\frac{9}{5}[/tex] y + 9

∴ [tex]\frac{3}{5}[/tex] (3y + 15) =   [tex]\frac{9}{5}[/tex] y + 9

The equivalent to three over five (3y + 15) is  [tex]\frac{9}{5}[/tex] y + 9

c please give 4 stars :)

25 POINTS what is the domain of the quadratic function graphed below?

a. all real numbers
b. x>=2
c. x>3
d. y=(0,8)

Answers

Answer:

A or D i tink

Step-by-step explanation:

becuz i tink b and c is not to me

Answer: (a) all real numbers

Step-by-step explanation:

The arrows mean that the line continues for infinity, so the x continues to change for infinity.

Which angles are vertical angles?

Answers

Answer:

<DCA and <BCF

Step-by-step explanation:

The vertically opposite angles are the angles <DCA and <BCF. These angles are always equal.

When two lines cross, two angles that are vertical two one another are equal. They are know as vertically opposite angles. When two straight lines cross each other, four angles are produced. The two vertically opposite have the same values.

What is the name of the lake located at letter B on the map above? Answer is C :)

Answers

Answer:

the answer is C. lake Texoma

hope this helps

what is the domain of the function represented by the graph?

Answers

Answer: x is equal to or bigger than -3

Step-by-step explanation:

What is the square of 20

Answers

First you need to know that square means multiplicatin by itself to itself so square of 20 means 20×20=400

The square root of 20 is 4.472

The square or 20^2 is 20•20=400

It takes 1.5 gallons of paint to cover the walls in 3 rooms. Write an equation relating the number of rooms r to the number of gallons g. How many rooms can be painted using 9 gallons of paint?

Answers

Answer:

18 rooms.

Step-by-step explanation:

Because it takes 1.5 gallons of paint to cover the walls in 3 rooms, if we divide on 3 on each side, we will get 0.5 gallons of paint per room.

The equation is r = 0.5g.

If we apply this formula, and multiply both sides by 18, we will get 18r = 9g.

The answer is 18 rooms.

Did this help you? Please rate and click THANKS!

-3(f - 8) = 39
Distributive Property
Brainly

Answers

-3(f - 8) = 39
Distribute
-3f + 24 = 39
-24 on both sides
-3f = 15
/-3 on both sides
f = -5

Answer:
f = -5
Distributive Property

Heeeeeeeeelp plssssssssss

Answers

Answer:

26 notches would be made.

Answer:

c) 26

Step-by-step explanation:

If I am understanding the question correctly it's just asking how many notches there will be on a certain length of metal and so in order to find it, you would just divide 6 1/2 by 1/4, also written as 6.5 divided by 0.25, to get 26.

yall i need this answerd asap plz help

Answers

Answer:

B

Hope this helped ;)

The correct answer is option B, I would appreciate a brainliest thank you

6(2x+4) plzzzzzzz I need help

Answers

Answer:

12x+24

Step-by-step explanation:

Answer:

-2

Step-by-step explanation:

Simplifying

6(2x + 4) = 0

Reorder the terms:

6(4 + 2x) = 0

(4 * 6 + 2x * 6) = 0

(24 + 12x) = 0

Solving

24 + 12x = 0

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '-24' to each side of the equation.

24 + -24 + 12x = 0 + -24

Combine like terms: 24 + -24 = 0

0 + 12x = 0 + -24

12x = 0 + -24

Combine like terms: 0 + -24 = -24

12x = -24

Divide each side by '12'.

x = -2

Simplifying

x = -2

Picture provided

Please solve.

Answers

Step-by-step explanation:

hope this helps, good night!!!!

When three points lie on the same line

Answers

When three points are on the same line it’s collinear,. we’re in the same class LOL

Simply the expression below .


8+ ( 15 - 3 ) + 4


help please .

Answers

8 + (15-3) + 4
8 + 12 + 4
20 + 4
24
your answer is 24

Answer:

24

Step-by-step explanation:

8+ ( 15 - 3 ) + 4

8+12+4

20+4

24

Sydney and Tom each count the number of steps it takes for them to walk to school. Sydney counts a 4-digit number of steps. The total of Sydney's steps and Tom's steps in also a 4-digit number of steps. What is the greatest possible digit in the thousands place for Sydney's steps or for Tom's steps? Explain.

Answers

Answer:

8

Step-by-step explanation:

Using the information provided we can say that the largest number of steps for either Sydney or Tom would be 8999 making the digit in the thousands place an 8. This is because both Sydney and Tom counted 4 digits meaning the lowest number for either of them is 1000 steps. Since the question also states that the combination/total of both their steps is still a 4 digit number, this means that the total must not exceed 9,999 steps. Therefore if the minimum is 1000 the maximum can only be 8,999 before going into the 5 digit number of steps.

Graziano predicted that he would sell 420 tablecloths. He actually sold 520 tablecloths. What are the values of a and b in the table below? Round the answer to the nearest tenth.

Percent Error

Item
Approximate value
Exact value
Error
Absolute error
Ratio
Percent error
Tablecloths
420
520

a
b

a = -100/420; b = -23.8%
a = -100/520; b = -19.2%
a = 100/520; b = 19.2%
a = 100/420; b = 23.8%

Answers

Answer

-19.2

Step-by-step explanation:

Answer:

-19.2

Step-by-step explanation:

Yes

Lori has a dog named Rusty. Tim's dog, Midnight, eats 28 cups of food in a week. Midnight eats the same amount each day. In one day, how many more cups of food will Midnight eat than Rusty? Complete the explanation. Rusty's Care Food 3 cups a day Water 4 cups a day Bath 2 times a month Midnight will eat more cup(s) of food than Rusty each day. Rusty will eat 3 × 7 = cups of food in one week. 28 − 21 = There are 7 days in a week, so Midnight will eat more cup(s) of food each day.

Answers

Answer:

Midnight will eat 1 more cup of dog food per day than Rusty.

Step-by-step explanation:

Rusty:

eats 3 cups of dog food per daydrinks 4 cups of water per daytakes a bath twice a month

Midnight eats 28 cups / 7 days = 4 cups of dog food per day.

Midnight will eat 4 - 3 = 1 more cup of dog food per day than Rusty.

What is the population growth rate of a country with an initial population of 100 million and a
population of 500 million 60 years late?
a. 02%
b. 1.2 %
c 2.1%
d. 2.7%

Answers

Answer:

its answer C 2.1%

Step-by-step explanation:

A taxi service charges $1.00 for the first mile then $0.10 for each additional mile after that. How much would you pay for having the taxi drive you 2 MILES?

Answers

$1.10this is because the first mile it’s 1 and every additional mile is .10. So just add 1 + .10

Answer:

$1.10

Step-by-step explanation:

In an equation, this would be written as follows (where y equals the total price and x is the number of miles driven):

[tex]y = 0.10(x-1) + 1.00[/tex]

Therefore:

[tex]y=0.10(2-1)+1.00[/tex]

[tex]y= 0.10(1)+1.00[/tex]

[tex]y=0.10+1.00[/tex]

[tex]y=1.10[/tex]

y = $1.10

-1/2- + 2 = -x + 7
A. 10
B. 5/2
C. 2/5
D. 20

Answers

Answer:

C.5/2

Step-by-step explanation:

-1/2+-2=-x+7    simplify

-5/2=-x+7     subtract 7 from both sides

x=5/2

Best representation of 5 7/3

Answers

Answer:what it is

Step-by-step explanation:

Will be it’s improper fraction

22/3

On a coordinate plane, a line goes through (1, negative 1) and (4, 2). A point is at (2, 5). What is the equation, in point-slope form, of the line that is perpendicular to the given line and passes through the point (2, 5)? y + 5 = x + 2 y − 2 = x − 5 y − 5 = −(x − 2) y + 2 = −(x + 5)

Answers

The equation is C. y − 5 = −(x − 2)

The line equation is y − 5 = −(x − 2), and the correct option is C.

What is the equation of a Straight Line?

The equation of a straight line is given by

y = mx +c

where m is the slope and c is the y-intercept.

The line goes through the points (1,  -1) and (4, 2),

The slope of the line will be

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

m = ( 2+1)/(4-1) = 1

The product of the slope of the line and the line perpendicular to it is -1

So, the slope of the line perpendicular to the given line is -1.

The line passes through the point (2,5)

The point-slope form is

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

so, the equation will be

y − 5 = −(x − 2)

Therefore, the line equation is y − 5 = −(x − 2), and the correct option is C.

To know more about the Equation of Straight line

https://brainly.com/question/21627259

#SPJ2

please can you help. i would really appreciate it

Answers

Answer:

The integers that satisfy both inequalities are any number between -4.5 and -12

Step-by-step explanation:

Hope this helps and pls do mark me brainliest if you can:)

What is the value of p in the equation shown?
3
p =-0.027

Answers

Answer:

According to the question,

3p=-0.027

By transposing '3' to the RHS, we get

p=0.027/3

=  p=-0.009

So in this question p=-0.009

Rewrite the expression (z^1)^2 in the form z^n

Answers

Answer:

Z^2

Explanation:

Any expression raised to the power of 1 equals itself.

Does anyone know this?

Answers

Answer:The awnser Is this

Positive Roots: 2 or 0

Negative Roots: 1

A realtor makes a 3% commission on every house they sell. If they just sold a house for $314 000, how much did the realtor make?

Answers

Answer: $9420

Step-by-step explanation: 314000x0.03 is 9420

Answer: 314,000 x 0.03 = $9,420

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