Na função y = x² - 2x +1, temos que a = 1, b = -2 e c = 1, calcule as coordenadas do vértice da parábola​

Answers

Answer 1

Answer:

(1, 0)

Step-by-step explanation:

x = -b / 2a

x = 2 / 2(1)

x = 2 / 2

x = 1

y = x^2 - 2x + 1

y = (1)^2 - 2(1) + 1

y = 1 - 2 + 1

y = -1 + 1

y = 0

vértice: (1, 0)


Related Questions

Opal can make 9 beaded bracelets per hour, and Lynette can make 6 per hour. Together how many hours should it take them to make 45 beaded bracelets?

Answers

Answer:

I'm pretty sure it is 3 hours.

Step-by-step explanation:

Well, when you add 9 plus 6, you get 15. Then you divie 45 by 15, which gives you three. Hope this helps. Good luck :D

Tony owns a shop that sells mobile phones and laptops. The retail price of a mobile phone is $240, and it will include a sales tax of 15% on the retail price. If the shop owner offers a discount of $46 off the final price including the sales tax, what is the percent decrease for the price of the mobile phone? A 20% B 15% C 19.17% D 16.67%

Answers

Answer:

Percent decrease in mobile = 19.17 % (Approx)

Step-by-step explanation:

Given:

Retail price of mobile phone = $240

Sales tax = 15% on retail value

Total discount including sales tax = $46

Find:

Percent decrease in mobile

Computation:

Cost of mobile = $240(85/100)

Cost of mobile = $204

Percent decrease in mobile = [$46 - 15%]204

Percent decrease in mobile = 19.17 % (Approx)

PLEASE help me with this question! This is really urgent! No nonsense answers please.

Answers

Answer:

LM = 2(MP)

Step-by-step explanation:

The radius KN is perpendicular to LM meaning that the line is split in half at the crossing. Review properties of circles to see why this is true.

Since we know this, we can say LM = LP + MP. And LP = MP.

So we can say LM = 2(MP).

Cheers

Lilli jogs 12 mile in 110 hour. What is Lilli's rate in miles per hour?

Answers

Answer:

.109090909 miles per hour

Step-by-step explanation:

To find miles per hour, take the miles and divide by the hours

12 miles/110 hours

.109090909 miles per hour

Answer:

0.11

Step-by-step explanation:

Hello!

To find how many miles Lilli jogs per hour we divide the distance by the time it took

12/110 = 0.109

The answer is 0.11

Hope this helps!

Convert 5700 milligrams into pounds. Round your answer to the nearest hundred

Answers

Answer:

It should be 0.012566 rounded

Step-by-step explanation:

Answer:

0.01 pounds

Step-by-step explanation:

A milligram is approximately 2.2046e-6 pounds (which is really small), so 5700 milligrams is around 0.012566 pounds. Also, did you mean "hundredth"?

What is the name of the degree of the following polynomial?
2x3

Answers

Answer:

So, the degree of the polynomial 2x - 3 = 1.

what is 32 – 21 + 10x – 12x

Answers

Answer:

11 - 2x

Step-by-step explanation:

Given

32 - 21 + 10x - 12x ← collect like terms

= 11 - 2x

Do I just set it equal to 180? or am i wrong

Answers

Answer:

AB=18 units.

Step-by-step explanation:

So, one of the angle measures is 6x. Since the shape is an equilateral triangle, this means that all the angles measure 6x. In other words, the total measure of the three angles is 6x+6x+6x=3(6x) or 18x. Recall that a triangle has a total interior angle sum of 180. Therefore, set 18x to 180 and solve for x:

[tex]18x=180\\[/tex]

Divide both sides by 18:

[tex]x=10[/tex]

Therefore, x is equal to 10.

Now, since this is an equilaterial triangle, all three side lengths are the same. Thus, AB=BC=AC. We know that BC is equal to x+8. Find BC:

[tex]BC=x+8\\BC=(10)+8\\BC=18[/tex]

And since all the side lengths are equivalent, this means that side AB is also 18 units.

Answer:

See below.

Step-by-step explanation:

The 3 angles in the triangle add up to 180 degrees

Also, as all 3 sides are equal, all 3 angles are also equal and each has the value 180/3 = 60 degrees.

So 6x = 60

x = 10.

Now AB = BC = x + 8

Therefore AB = x + 8

= 10 + 8

= 18.

PLEASE help me with this question! No nonsense answers please. This is really urgent.

Answers

Answer:

The third option: x= [tex]\frac{8}{3} \pi[/tex]

Step-by-step explanation:

Arc length formula=[tex]\frac{Central Angle}{360} * 2\pi r[/tex]

Arc length = [tex]\frac{120}{360} *2\pi (4)[/tex]

=[tex]\frac{8}{3}\pi[/tex]

what is 7k+1<8. and what would it look like on a number line
_​

Answers

Answer:

[tex]\huge \boxed{k<1}[/tex]

Step-by-step explanation:

[tex]7k+1<8[/tex]

Subtract 1 from both sides.

[tex]7k+1-1<8-1[/tex]

[tex]7k<7[/tex]

Divide both sides by 7.

[tex]\displaystyle \frac{7k}{7} <\frac{7}{7}[/tex]

[tex]k<1[/tex]

. f(x) = Square root of quantity x plus nine. ; g(x) = 8x - 13 Find f(g(x)). (1 point)
f(g(x)) = 2 Square root of quantity two x minus one.
f(g(x)) = 8 Square root of quantity x minus four.
f(g(x)) = 2 Square root of quantity two x plus one.
f(g(x)) = 8 Square root of quantity x plus nine - 13

Answers

Answer:

2 sqrt(2x-1)

Step-by-step explanation:

f(x) = sqrt( x+9)

g(x) = 8x-13

f(g(x))

place the function g(x) in for x in f(x)

f(g(x)) = sqrt(8x-13+9)

Combine like terms

f(g(x)) = sqrt(8x-4)

Factor out 4

f(g(x)) = sqrt(4*(2x-1)

           2 sqrt(2x-1)

[tex]\\ \sf\longmapsto f(x)=\sqrt{x+7}[/tex]

[tex]\\ \sf\longmapsto g(x)=8x-11[/tex]

g(x) will be put on the place of x

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-11+7}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{8x-4}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=\sqrt{4(2x-1)}[/tex]

[tex]\\ \sf\longmapsto f(g(x))=2\sqrt{2x-1}[/tex]

Solve for x.
x = [?]
5x – 16
X + 10

Answers

Answer:

If it is expression than answer 6x-6

If it is an equation 5x-16=x+10 than answer is 13/2

Step-by-step explanation:

If you like my answer than please mark me brainliest thanks

[tex]\\ \sf \longmapsto 5x-16=x+10[/tex]

[tex]\\ \sf \longmapsto 5x-x=10+16[/tex]

[tex]\\ \sf \longmapsto 4x=26[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{26}{4}[/tex]

[tex]\\ \sf \longmapsto x=\dfrac{13}{2}[/tex]

URGENTT PLEASE ANSWER

Answers

Answer:

Step 2

Step-by-step explanation:

9 was added to both sided so the equation would remain equal and the 9 would be cancelled out on the left side.

Aug 19,7:01:38 PM
Kylie is moving and must rent a truck. There is an initial charge of $50 for the rental
plus a fee of $3 per mile driven. Make a table of values and then write an equation for
C, in terms of m, representing the total cost of renting the truck if Kylie were to
drive m miles.
Number of Miles Driven Total Cost to Rent Truck

Answers

Answer:

0 miles- $50

1 mile- $53

2 miles- $56

3 miles-$59

Step-by-step explanation:

you add $3 to the original 50 as you go each mile.

What is the area of trapezoid DEFG?
PLEASE SO THIS ASAP!!!
MUST SHOW WORK

Answers

Answer:

Area = 35 cm^ 2

Step-by-step explanation:

Area = 1/2(a+b) x h

1/2 (5+9) x 5

= 35 cm^ 2

Answered by G a u t h m a t h

Answer:

A = 35  cm²

Step-by-step explanation:

The area (A) of a trapezoid is calculated as

A = [tex]\frac{1}{2}[/tex] h (b₁ + b₂)

where h is the perpendicular height between the bases and b₁, b₂ are the bases.

Here h = 5 , b₁ = 9 and b₂ = 5 , then

A = [tex]\frac{1}{2}[/tex] × 5 × (9 + 5) = 2.5 × 14 = 35 cm²

PLEASE HELP ASAP!! (stuck on this and it's due in 45 mins)

Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

1. Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L'

2. Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

3. What translation would move △JKL to △J"K" L directly?


A. 8 units right and 5 units up

B. 10 units left and 5 units up

C. 8 units right and 5 units up

D. 8 units right and 10 units up?

Answers

Answer:

the answer is b, 8 units right, and 5 units up

Step-by-step explanation:

The image of △JKL after a translation of 8 unit right and 5 units up to   △J"K" L directly.

What is translation?

The act of moving a figure or shape from one location to another is known as translation. A figure can move up, down, right, left, or anywhere else in the coordinate system during translation. The only thing that changes about the object in translation is its position; its size stays the same.

Given  Graph △JKL with vertices J(-3, 4) K (4, 4), and L (6, -2)

and  Graph the image of △JKL after a translation of 1 unit left and 10 units up. Label the image △J'K'L',

and  Then translate △JKL 9 units right and 5 units down. Label this image △J"K"L.

from graph coordinates of △J"K"L are J"(5, 9), K"(4, 1) and L"(14, 3)

change in J to J" is (5 - (-3), 9- 4) =(8 , 5),

same for K to K" and L to L"

ΔJKL moves 8 units right and 5 units up to  △J"K"L"

Hence  8 units right and 5 units up  translation would move △JKL to △J"K" L directly.

Learn more about translation;

https://brainly.com/question/12463306

#SPJ2

According to data from the U.S. Department of Education, the average cost y of tuition and fees at public four-year institutions in year x is approximated by the equation where x = 0 corresponds to 1990. If this model continues to be accurate, during what year will tuition and fees reach $4000?

Answers

Answer:

Graphing Calculator

Step-by-step explanation:

The slope of the line is-
A)m=-2
B)m=-(1/2)
C)m=1/2
D)=m=2

A point on the line is-

A)(-4,-1)
B)(4,1/2)
C)(1/2,-1)
D)(1,4)

Answers

Answer:

C

D

Step-by-step explanation:

Point slope form is written in

y - y1 = m(x - x1)

Where m is the slope and (x1, y1) is a point on the line.

Looking at the values we have m = 1/2 and x1 = 1, y1 = 4.

Therefore the slope is 1/2 and the point is (1,4)

Write an inequality to describe the relationship between −1 2/3 and −1/4.

Answers

Answer:

- 1/ 4 > -1 2/3

Step-by-step explanation:

-1 /4 is closer to zero than - 1 2/3.

Answer:

-14>-1 2/3

Step-by-step explanation:

Which of the following is an example of the difference of two​ squares?
A x2−9
B x3−9
C (x+9)2
D (x−9)2
I know the answer is either A or B i might be wrong tho pls help im not sure.

Answers

Answer:

1) What does it mean when a polynomial equation is in standard​ form?

All terms are on one side of the equation, and zero is on the other side.

2) When factoring 6x2−7x−20 by grouping, how should the middle term be rewritten?

It should be written as 8x−15x.

3) Is the given equation a quadratic equation? Explain.

x(x−6)=−5

The equation is a quadratic equation because there is an x2-term.

4) Which of the following factored forms given below represent the correct factorization of the trinomial x2+10x+16?

(2+x)(8+x)

5) Which of the following is an example of the difference of two​ squares?

x2−9

Step-by-step explanation:

I hope this helps you out ☺

A binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Recall:

Difference of two squares is when you have a binomial that is expressed as [tex]x^2 - y^2[/tex].

The first and second term of the binomial will have an exponential of 2 wile the subtraction sign will be in the middle.

Thus, from the options given, option A: [tex]x^2 - 9[/tex] is an example of a binomial that is the difference of two squares.

This is why:

9 can be expressed as [tex]3^2[/tex].

In summary, a binomial whose first term and second term can be squared, and has a subtraction sign between both squared terms represents the difference of two squares, an example of the difference of two squares is:

A. [tex]x^2 - 9[/tex]

Learn more here:

https://brainly.com/question/16139579

how do i solve 8/12 = 6/x

Answers

Answer:

x = 9

Step-by-step explanation:

8/12 = 6/x

We can use cross products

8*x = 12*6

8x = 72

Divide by 8

8x/8 = 72/8

x = 9

A line passes through the point (-3, -3) and has a slope of 1/2. What is the equation of the line? A y= 1/2x + 3/2 B y= 1/2x -3/2 C y= 1/2x -1/2 D y= -1/2x -3/2

Answers

Answer:

[tex](B.) y= 1/2x -3/2[/tex]

Step-by-step explanation:

[tex](-3, -3) = (x_1,y_1)\\m = 1/2\\\\y-y_1=m(x-x_1)\\\\y -(-3)=\frac{1}{2} (x -(-3)\\\\y+3 = \frac{1}{2}(x+3)\\\\ y+3 = \frac{1}{2} x+\frac{3}{2}\\\\ y = \frac{1}{2} x +\frac{3}{2} -3\\\\y = \frac{1}{2} x - \frac{3}{2}[/tex]

Answer:

[tex]\Large \boxed{\mathrm{Option \ B}}[/tex]

Step-by-step explanation:

y = mx + b

(slope intercept form of a line)

m = slope

b = y-intercept

y = 1/2x + b

Only three options have a slope of 1/2.

y= 1/2x + 3/2

y= 1/2x - 3/2

y= 1/2x - 1/2

The line crosses the point (-3, -3), x = -3 and y = -3.

-3= 1/2(-3) + 3/2

-3= -3/2 + 3/2

-3 = 0

This is false.

-3= 1/2(-3) - 3/2

-3 = -3/2 - 3/2

-3 = -6/2

-3 = -3

This is true.

-3= 1/2(-3) - 1/2

-3 = -3/2 - 1/2

-3 = -2

This is false.

Question : A miniature model of a statue is made using the scale 1 in = 10 ft. The height of the
miniature model is 7 in. What is the actual height of the statue?
1012
ROUP

Answers

Answer:

70 feet

Step-by-step explanation:

If the miniature model has size of 1 inch, the real statue will be 10 feet in size. So if the model is 7 inch in size, the real statue will be 70 feet in size.

Convert the following:
22 tons is equivalent to
kilograms

Answers

Answer:

19958.1

step-by-step explanation:

HOPE I HELPED

PLS MARK BRAINLIEST

DESPERATELY TRYING TO LEVEL UP

      ✌ -ZYLYNN JADE ARDENNE

JUST A RANDOM GIRL WANTING TO HELP PEOPLE!

                                     PEACE!

please help! need answers in order to move on:)
1.) which number equals (5)^-3?
- -125
- 1/15
- 1/125
- -15

2.) find the equivalent for -(3)^-4
- -(4x4x4)
- -3x-4
- 1/-3x-3x-3x-3
- -(1/3x1/3x1/3x1/3)

3.) which of the following is equivalent to 3^-8x3^4
- 3^-12
- 3^-4
- 3^-2
- 3^-32

4.) which value is equivalent to 7^-3/7^-5
- 7^15
- 7^-2
- 7^8
- 7^2

5.) choose the equivalent expression (8^10)^2
- 8^12
- 8^20
- 8^8
- 8^5

6.) which expression is equivalent to (9x8)^4
- 9x8x4
- 9^4x8^4
- (9^8)^4
- (9^4)^8

7.) which expression is equivalent to (2/7)^5
- 2^5/7^5
- 2x5/7x5
- 2^5/7
- 2x5/7

Answers

Answer:

1)

5⁻³ = 1/5³ = 1/125

2)

-3⁻⁴ = -(1/3)⁴ = -(1/3×1/3×1/3×1/3)

3)

3⁻⁸ x 3⁴ = 3⁻⁸⁺⁴ = 3⁻⁴

4)

7⁻³/7⁻⁵ = 7⁻³ ⁻⁽⁻⁵⁾ = 7⁻³⁺⁵ = 7²

5)

(8¹⁰)² = 8¹⁰*² = 8²⁰

6)

(9x8)⁴ = 9⁴x8⁴

7)

(2/7)⁵ = 2⁵/7⁵

Answer:

1) [tex]5^{-3}[/tex]-

Exponent rule:- [tex]a^{-b}=\frac{1}{a^b}[/tex]

[tex]5^{-3}=\frac{1}{5^3}[/tex]

[tex]=\frac{1}{5^3}[/tex]

[tex]5^3=125[/tex]

Answer:- [tex]\frac{1}{125}[/tex]

---------

2) [tex]-3^{-4}[/tex]

[tex]-(\frac{1}{3} )^{4}[/tex]

Answer:- [tex]-(\frac{1}{3}\times\frac{1}{3} \times \frac{1}{3} \times\frac{1}{3} )[/tex]

---------

3) [tex]3^{-8}\times 3^{4}[/tex]

[tex]3^{-8+4}[/tex]

Answer:- [tex]3^{-4}[/tex]

----------

4) [tex]7^{-3} /7^{-5}[/tex]

[tex]7^{-3-(-5)}[/tex]

[tex]7^{-3+5}[/tex]

Answer:- [tex]7^{2}[/tex]

----------

5) [tex](8^{10} )^{2}[/tex]

[tex]8^{10\times2}[/tex]

Answer:- [tex]8^{20}[/tex]

---------

6) [tex](9\times8)^{4}[/tex]

Answer:- [tex]9^{4} \times 8^{4}[/tex]

---------

7) [tex]\left(\frac{2}{7}\right)^5[/tex]

Answer:- [tex]\frac{2^{5} }{7^{5} }[/tex]

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

OAmalOHopeO

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

PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER!!
An alphabetical list is generated of each member of the student body at a local middle school. The first name on the list is in the sample, along with every 5th name on the list after that. This is an example of a __________________.
A. systematic sample
B. stratified random sample
C. convenience sample
D. random sample

Answers

Answer:

Option A, systematic sample

Al’s Produce Stand sells 6 ears of corn for $1.50. Barbara’s Produce Stand sells 13 ears of corn for $3.12. Write two equations, one for each produce stand, that model the relationship between the number of ears of corn sold and the cost.

Answers

Answer:

6n = 1.50

and

13n = 3.12

Step-by-step explanation:

Here in this question, we are interested in writing equations that relate the number of ears of corn sold and the cost.

For Al’s produce stand, let the price per corn sold be n

Thus;

6 * n = 1.50

6n = $1.50 •••••••(i)

For the second;

let the price per corn sold be n;

13 * n = $3.12

-> 13n = 3.12 •••••••••(ii)

If p and q are remainders when the polynomials

Answers

Answer:

Step-by-step explanation:

Carly has averaged four goals per game for the first eight games of the indoor soccer season (which runs for 10 games)

She wants to finish the season with an average of 5 goals per game.

How many goals does she need to score in total in the last two games to achieve this?

Answers

Answer:

9

Step-by-step explanation:

i did 8x4 which is 32

and knowing how to do averages i knew the total of the numbers was going to be divided by the amount of numbers, so i knew that it had to add up to 50 because 50/10 is 5.

so i knew i needed 18 more points, 18/2 = 9 so

4(8) + 9(2) = 32 + 18 = 50

The question is prime factors of 72. answer:A.3 times 3 times 2 times 2 times 2. answer:B.3 times 3 times 2 times 2 answer:C.3 times 3 times 3 times 2 times 2 times 2. answer:D.7 times 2 times 2.

Answers

Answer:answer=A

Step-by-step explanation: 3×3×3×2×2=72

Answer:

YUP THEY RIGHT

Step-by-step explanation:

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