Rewrite the function f(x)=2(x-1)^2-1 in the form f(x)=ax^2+bx+c

Answers

Answer 1

Answer:

2x^2-4x+1

Step-by-step explanation:

2(x-1)^2-1

2(x^2-2x+1)

2x^2-4x+2-1

2x^2-4x+1

Answer 2

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[tex]f(x) = 2 ({x - 1})^{2} - 1 [/tex]

[tex]f(x) = 2( {x}^{2} - 2x + 1) - 1[/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 2 - 1 [/tex]

[tex]f(x) = 2 {x}^{2} - 4x + 1 [/tex]

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Related Questions

2.) Six editors are reviewing a book. The publisher had asked for the book, which consist of one-hundred fives pages, to be edited as soon as possible. If each editor reviews an equal share, how many pages will each editor be responsible for reviewing?​

Answers

Answer:

17.5 pages

Step-by-step explanation:

divide the total 105 pages by the 6 editors.

Martin spent $68 on a new drone that he had been saving for. Now, he has $41 left in his savings jar. Click the equation that could be used to find the total of his savings, s, before he bought the drone.

Answers

Answer:

Step-by-step explanation:

109

The answer is 109 (Brainliest Answer Will be appreciated:D)

What is 2 + 2i in polar form?

Answers

Answer:
Attached photo


Here

The polar form of 2+2i is [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex]

We are given that;

The complex number= 2+2i

Now,

To convert a complex number from rectangular form to polar form, we need to find its magnitude and argument.

The magnitude is the distance from the origin to the point (x, y) on the complex plane, and the argument is the angle between the positive x-axis and the line joining the origin and the point.

Using the Pythagorean theorem and the inverse tangent function, we get:

Magnitude = [tex]$\sqrt{x^2 + y^2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{y}{x})$[/tex]

Plugging in x = 2 and y = 2i, we get:

Magnitude = [tex]$\sqrt{2^2 + 2^2} = \sqrt{8} = 2\sqrt{2}$[/tex]

Argument = [tex]$\tan^{-1}(\frac{2}{2}) = \frac{\pi}{4}$[/tex]

Therefore, by pythagoras theorem answer will be [tex]$2\sqrt{2}(\cos(\frac{\pi}{4}) + i\sin(\frac{\pi}{4}))$[/tex].

Learn more about Pythagoras theorem;

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what is 16 3/9 -10 2/5​

Answers

the answer is 5.93333333333

Answer:

5 14/5

Step-by-step explanation:

16

​3

​1

​​ −10

​5

​2

​​

16×3+1

​​ −10

​5

​2

​​

48+1

​​ −10

​5

​2

​​

49

​​ −10

​5

​2

​​

49

​​ −

​5

​10×5+2

​​ 49

​​ −

​5

​50+2

​​

49

​​ −

​5

​52

49×5

​​ −

​5×3

​52×3

​​​​245

​​ −

​15

​156

​​

​15

​245−156/15

89/15 simplify it

5 14/5

what is the quotient of(x^3+3x^2+5x+3) divided by (x+1)

Answers

I hope it is helpful for you....

Write the equation in standard form using integers
y= -4/5x -6

Answers

Answer:

3x+5y=10 hope this helped !!

A fox leaves its den and travels 725 yards northeast, then 950 yards west. How far, in yards is the fox from its den

Answers

Answer:

1,675

Step-by-step explanation:

add it

Using Pythagoras, the distance of the fox from its den would be 533.26 yards

Hypotenus = 900 yards

Adjacent = 725 yards

Distance from den = opposite

Opposite = √hypotenus² - adjacent²

Distance = √(900)² - (725)²

Distance = √810000 - 525625

Distance = √284375

Distance = 533.26 yards

Therefore, the fox is 533.26 yards from his den.

Learn more : Opposite = √hypotenus² - adjacent²

WILL GIVE BRAINLIEST Katya is wanting to put artificial turf in her back yard. Her yard is 20 feet by 30 feet. She figures that she will need the drainage rock under the turf to be 1 foot deep. She goes to the home improvement store and sees the following signs for rock. What is the unit rate of brand B?

Answers

12 i think but maybe not

Calculate 21+23+25...+81

Answers

Answer:

150

Step-by-step explanation:

Have a great night. ︎ ︎ ︎ ︎ ︎ ︎ ︎ ︎

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Alijah travels 312 miles in 8 hours to get to Myrtle Beach. How many miles does he travel per
hour? *

Answers

Answer:

Should be 39 miles per hour

Step-by-step explanation:

Just divide 312/8=39

Find the midpoint of CD
C=(-4,7) and D=(4,-1)
([?],[])

Answers

Answer:

[tex](0,3)[/tex]

General Formulas and Concepts:

Order of Operations: BPEMDASMidpoint Formula: [tex](\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})[/tex]

Step-by-step explanation:

Step 1: Define

C (-4, 7)

D (4, -1)

Step 2: Find midpoint

Substitute:                    [tex](\frac{4-4}{2},\frac{-1+7}{2})[/tex]Add/Subtract:               [tex](\frac{0}{2},\frac{6}{2})[/tex]Divide:                           [tex](0,3)[/tex]

The function
The function g(x) has a slope of —5/6. The value of g (x) is 5 when x is 6. Explain how the graph
of g(x) can be used to find the x-intercept. (2 points)
Item

Answers

You have slope and a point so it should be easy.
Set up equation [y-y1= m(x-x1)]
y-5 = -5/6(x-6)
And simplify.
Y=-5/6x +10

Then to find x intercept, plug in a 0 for y
0=-5/6x+10
-10=-5/6x. Subtract 10 from both sides.
-10/ -5/6 = x. Divide by -5/6 on both sides.

X=12

So the x intercept is 12 or (12,0)

Solve
1/2
x + 3 <4x - 7


Answers

Answer:

x>20/7

Step-by-step explanation:

It's simple math, make sure to mark me brainliest!

Which of the following best describes DG?
E
G. F
D
A. Perpendicular bisector
B. Altitude
C. Angle bisector
D. Median

Answers

Answer:

I think its option D. MEDIAN

The segment DG in the given triangle describes as Altitude.

What is Triangle?

A triangle is a two dimensional figure which consist of three vertices, three edges and three angles.

Sum of the interior angles of a triangle is 180 degrees.

Given that,

A triangle DEF.

Now, Altitude of a triangle is defined as the perpendicular segment drawn from a vertex to the opposite side.

Angle bisector is the line segment drawn from a vertex to the opposite side which bisects the angle at that vertex.

Perpendicular bisector is the perpendicular line segment drawn from a vertex to the opposite side which divides the opposite side to two halves.

Median is the line segment joining the vertex with the mid point of the other side.

Here, it is only given that the drawn line is perpendicular. It does not bisect side or angles.

So it is altitude.

Hence the given segment is altitude.

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If there are 5 levels of Factor A and 7 levels of Factor B for an ANOVA with interaction, what are the interaction degrees of freedom?

a. 24.

b. 12.

c. 10.

d. 35.

Answers

Answer:

C. 10

Step-by-step explanation:

let n1 be the degree of freedom of factor A

Let n2 be the degree of freedom of factor B

If there are 5 levels of factor A, then n1 = 5

If there are 7 levels of Factor B then n2 = 7

The interaction between the degrees of freedom is expressed using the formula;

df = (n1 - 1)+(n2 - 1)

df = n1 -1 + n2- 1

df = n1+n2 -2

Substitute n1 and n2 and get df

df = 5+7-2

df = 12-2

df = 10

Hence the interaction  degree of freedom is 10

There are 7 students in a class: 2 boys and 5 girls.If the teacher picks a group of 3 at random, what is the probability that everyone in the group is a girl?

Answers

Answer:

two sevenths

Step-by-step explanation:

Free brainliest timmmmmmme :)


What is 2+2?
A. 69
B. 420
C:666
D:21

PLEASE HELP WORTH 4 POINTS

Answers

Answer:

2+2=4

Step-by-step explanation:

lol tell me the subject and ill research and give u n answer

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Answers

Answer:

Step-by-step explanation:

(C)

What is the slope & y-intercept of this equation? y = -1/3x - 5

Answers

Slope : -1/3
Y - intercept : -5

I need help I don’t know this help

Answers

they're both functions because each input has exactly one output
They are both functions so put test

Which angle is congruent to angle 3 and explain why

I will give a brainless for a correct answer :)

Answers

Answer:

Angle 6

Step-by-step explanation:

One easy way to know if an angle is congruent is it being directly across from the angle. In this case its fairly easy to tell since (assuming) that angle 3 is a 90 degree angle and so is angle 6.

12. The weight of 56
books is 8kg. What
is the weight of 154
such books?​

Answers

Answer:

56+56=112 16kg

112+42=154 42 = 6kg

Step-by-step explanation:

Solve for x: 6x - 3 - 4x + 5 = 3(x - 1) *
And do check

Answers

Answer:

x>-1

Step-by-step explanation:

your welcome-

work-

Step by Step Solution:

More Icon

Rearrange:

Rearrange the equation by subtracting what is to the right of the greater than sign from both sides of the inequality :

                    (6*x-3)-((4*x-5))>0

Step by step solution :

STEP

1

:

Pulling out like terms

1.1     Pull out like factors :

  2x + 2  =   2 • (x + 1)

Equation at the end of step

1

:

STEP

2

:

2.1    Divide both sides by  2

Solve Basic Inequality :

2.2      Subtract  1  from both sides

           x > -1

Inequality Plot :

2.3      Inequality plot for

        2.000 X  + 2.000  >  0

 

One solution was found :

x > -1

Hi! I just need somebody to explain how this is done.
I don’t understand the process of this well and I cant find many videos that explain it. thanks!

Answers

Answer:

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

Step-by-step explanation:

In the right-angled triangle, we can use the trigonometry functions to find the length of a side or a measure of an angle

In the given figure

∵ ∠C is the right angle

ΔACB is a right triangle

m∠B = 57°

AC = 10.8

∵ AC is the opposite side of ∠B

∵ AB is opposite to the right angle

∴ AB is the hypotenuse

AB = x

→ We can use the function sine to find x

∵ sin∠B = [tex]\frac{opposite}{hypotenuse}[/tex]

∴ sin∠B = [tex]\frac{AC}{AB}[/tex]

→ Substitute the values of ∠B, AC, and AB in the rule of sine above

∴ sin(57°) = [tex]\frac{10.8}{x}[/tex]

→ By using cross multiplication

∵ x × sin(57°) = 10.8

→ Divide both sides by sin(57°)

x = [tex]\frac{10.8}{sin(57)}[/tex]

x = 12.87752356

→ Round your answer to the nearest tenth

x = 12.9

Exact form: x = [tex]\frac{10.8}{sin(57)}[/tex]

Rounded to the Nearest Tenth: x = 12.9

A linear equation in the form Ax + By = C is in_____,where A, B, and C are____.
Standard Form, demcimals and integers
Slope intercept Form, integers
Standard form, Integers
Slope Intercept Form, fractions

Answers

Answer:

standard form, real nums

Step-by-step explanation:

Could someone please guide me towards solving side x I know I have to use trig but I'm completely lost

Answers

Answer:

x = 33.13 units

Step-by-step explanation:

Let the altitude of the triangle be h units.

[tex] \sin 65 \degree = \frac{h}{31} \\ \\ 0.906307787 = \frac{h}{31} \\ \\ h = 0.906307787 \times 31 \\ \\ h = 28.0955414 \\ \\ \cos \: 32 \degree = \frac{h}{x} \\ \\ 0.8480480962 = \frac{28.0955414}{x} \\ \\ x = \frac{28.0955414}{0.8480480962} \\ \\ x = 33.1296556 \\ \\ x \approx 33.13 \: units[/tex]

Answer:

x = 23.7926

Step-by-step explanation:

Step 1

Find the length of vertical line segment, lets call it h. Use function cos

h/31 = cos 66°h = 31 * cos 66° = 31*0.4067 = 12.6077

Step 2

Find x using another function, sin

h/x = sin 32°x = h / sin 32°x = 12.6077 / 0.5299x = 23.7926

BRAINIEST FOR YOU! Kim and Tegan train for the iron man on the weekend. They bike at a constant rate of miles per hour. The tables below show Kim and Tegan’s total (distance) for biking a given amount of time. Find the missing value in the chart. (highlighted yellow)

Answers

Answer:

256

Step-by-step explanation:

2 times 16 is 32 so do the same for all of them and boom!

Answer:

256 because 16 times 16= 256

Step-by-step explanation:

Please give me brainliest, if I gave you the correct answer! Thanks

What is the exact value of sin 170⁰ cos 55⁰ + cos 170⁰ sin 55⁰?

Answers

The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by

C = sin 225° and the value of C = -0.70710678118

What are trigonometric relations?

Trigonometry is the study of the relationships between the angles and the lengths of the sides of triangles

The six trigonometric functions are sin , cos , tan , cosec , sec and cot

Let the angle be θ , such that

sin θ = opposite / hypotenuse

cos θ = adjacent / hypotenuse

tan θ = opposite / adjacent

tan θ = sin θ / cos θ

cosec θ = 1/sin θ

sec θ = 1/cos θ

cot θ = 1/tan θ

Given data ,

Let the equation be represented as C

Now , the value of A is given by the equation ,

A = sin 170° cos 55° + cos 170° sin 55°

And let the first angle be = 170°

Let the second angle be = 55°

So , value of A = 170° and value of B = 55°

From the trigonometric relations , we know that

sin ( A + B ) = sin A cos B + cos A sin B   be equation (1)

Substitute the values of A and B in the equation , we get

sin 170° cos 55° + cos 170° sin 55° = sin ( 170° + 55° )

So , value of equation A = sin ( 170° + 55° )

On simplifying the equation , we get

sin ( 170° + 55° ) = sin 225°

The value of sin 225° = -0.70710678118

Hence , The value of the equation sin 170° cos 55° + cos 170° sin 55° is given by C = sin 225° and the value of C = -0.70710678118

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Answer: C

Step-by-step explanation:

ur welcome

Which ordered pair is a solution to the equation below? 3x + 2y = 10
Question 1 options:

(4, 0)

(6, -4)

(-1, 4)

Answers

Answer:

(6,-4)

Step-by-step explanation:

I have tried replacing each option with x, y in the equation.

Let's replace (6, -4) with x and y

3x+2y=10

3(6)+2(-4)=10

3(6)= 18 2(-4)= -8

18+(-8)=10

in other words:

18-8=10

The statement is true, so the correct answer is:

(6, -4)

Find the value of x. Round to the nearest degree.
13.
22
14
Not drawn to scale
a. 47
b. 32
c. 40
d. 50

Answers

Answer:

32

Step-by-step explanation:

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