Which equation represents the vertex form of the equation y= x2 - 6x + 11?
A. y= (x - 3)2 + 2
B. y= (x - 6)2 + 2
C. y= (x - 6)2 +11
D. y= (x - 3)2 + 11

Answers

Answer 1

Answer:

A

Step-by-step explanation:

Use the method of completing the square to express in vertex form.

Given

y = x² - 6x + 11

To complete the square

add/subtract ( half the coefficient of the x- term )² to x² - 6x

y = x² + 2(- 3)x + 9 - 9 + 11 , then

y  = (x - 3)² + 2 → A

Answer 2

Answer:A

Step-by-step explanation:


Related Questions

The league raised $1,560 through fundraisers. Trenton estimates the cost of buying jackets for each player in the league. He concludes that the league has raised enough money. Do you agree with Trenton? Explain.

Answers

Answer:

Step-by-step explanation:

Estimates are rough guesses based on current or previous prices. Therefore, it is impossible to conclude whether or not Trenton has actually raised enough money, especially if no actual price for the jackets has been provided. That being said an estimation is usually a close enough representation of the actual value, which would mean that the chances of having raised enough money (if that is what the estimates say) are pretty high.

Shelly's Boutique had a Labor Day sale featuring 25% off any item. Tammy wanted to buy a blouse that originally sold for $21.99. To the nearest cent, how much will it cost her before tax to buy the blouse during the sale?

Answers

Given:

Original price of a blouse = $21.99

Sale = 25% off

To find:

The cost of blouse during the same before tax.

Solution:

Since Shelly's Boutique had a Labor Day sale featuring 25% off any item. It means price of each item in sale is 25% less than the original price.

[tex]\text{Price of blouse during sale}=21.99-25\%\text{ of } 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-\dfrac{25}{100}\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-0.25\times 21.99[/tex]

[tex]\text{Price of blouse during sale}=21.99-5.4975[/tex]

[tex]\text{Price of blouse during sale}=16.4925[/tex]

Approximate the value to the nearest cent (2 decimal places).

[tex]\text{Price of blouse during sale}\approx 16.49[/tex]

Therefore, the cost of blouse during sale is $16.49.

Answer:

16.49

Step-by-step explanation:

Write each fraction in simplest form.
1) 4/8
2) 3/9
??
22
3) 9/12
??
4) 3/6
??

Answers

Step-by-step explanation:

1. 4/8=1/2

2.3/9=1/3

3.9/12=3/4

4.3/6=1/2

please help me in math ​

Answers

there are two ways you can do this. Go through each of the nth terms separately and find the one that matches or you can find the nth term with the sequence itself.

so you find the size difference inbetween each term which is -5 so you know there will be -5n in your formula so then you need to make n= 1 (for the first term) so that equals -5 but you want -3 so you need to find what + -5 equals -3 which is 2.

So now you know your answer is 2-5n

Find three consecutive even integers suche
that one half of their sum is between 15
and 21.

Answers

9514 1404 393

Answer:

  10, 12, 14   and maybe {8, 10, 12} and {12, 14, 16}, depending on the meaning of the question

Step-by-step explanation:

If x is the middle one, then their sum is 3x. You want ...

  15 < 3x/2 < 21 . . . . assuming "between 15 and 21" does not include 15 or 21

  30 < 3x < 42

  10 < x < 14

The only even integer in that range is 12, so the three integers are ...

  10, 12, 14 . . . . . half their sum is 18

__

We have used <, rather than ≤ in the above solution. This assumes that "between" does not include the values at the end of the range. If those values are included, then two additional solutions are possible: {8, 10, 12} and {12, 14, 16}. For the first set, the half-sum is 15; for the second set, the half-sum is 21.

QUICK WHAT IS0.034 is 110 of 0.0034.

Answers

Step-by-step explanation:

. We assume, that the number 10 is 100% - because it's the output value of the task.

2. We assume, that x is the value we are looking for.

3. If 10 is 100%, so we can write it down as 10=100%.

4. We know, that x is 0.034% of the output value, so we can write it down as x=0.034%.

5. Now we have two simple equations:

1) 10=100%

2) x=0.034%

where left sides of both of them have the same units, and both right sides have the same units, so we can do something like that:

10/x=100%/0.034%

6. Now we just have to solve the simple equation, and we will get the solution we are looking for.

7. Solution for what is 0.034% of 10

10/x=100/0.034

(10/x)*x=(100/0.034)*x - we multiply both sides of the equation by x

10=2941.1764705882*x - we divide both sides of the equation by (2941.1764705882) to get x

10/2941.1764705882=x

0.0034=x

x=0.0034

now we have:

0.034% of 10=0.0034

Select the correct answer. Which equation, when solved, gives 8 for the value of x?​

Answers

The 3rd equation, as if you solve for x as shown, you will end up with equation x=8.

[tex]\frac{5}{4}x-\frac{3}{2}x=-4+2[/tex]

[tex]\frac{5}{4}x-\frac{6}{4}x=-2[/tex]

[tex]-\frac{1}{4}x=-2[/tex]

[tex]x=8[/tex]

write 28 + 24 as a product of two factors using the GCF and the distributive property

Answers

Answer:

4 x 13

Step-by-step explanation:

GCD of 28 and 24 is 4

28 = 4 x 7

24 = 4 x 6

u take the 4 out

4 (7 + 6)

4 x 13

The product of two factors using the GCF and the distributive property is 4(13).

What is the meaning of the greatest common divisor/factor?

The largest integer of highest degree that is an exact divisor of each of two or more integers.

The greatest common divisor of 24 and 28

24=2×2×2×3

28=2×2×7

We can see that the 2 and 2 is common in 24 and 28

The GCD of 28 and 24 is=2×2= 4

For the distributive property we have

28 = 4 x 7

24 = 4 x 6

we take the 4 out

4 (7 + 6)

=4 x 13

Therefore the GCD is 4 and by distributive property product is 4(13).

To learn more about the product visit:

https://brainly.com/question/10873737

to increase an amount by 19% multiple by?

Answers

To increase an amount by 19% you need to multiple the amount by 1.19

Answer:

1.19

Step-by-step explanation:

The original full amount is 100%.

When you increase the full amount by 19%, you add 19% of the full amount to the full amount, so now you have 119%.

To find 119% of an amount, multiply he amount by 1.19 since 119% = 1.19

Answer: 1.19

1) Which is the best estimate for the amount of grass in the lawn

A.125ft
B.125sq ft
C.1,250ft
D.1,250sq ft

2) Which is the best estimate for the total length of the bricks?

A.125ft
B.125sq ft
C.1,250ft
D. 1,250sq ft

Answers

Answer:

for number one the answer is D). 1,250 sq ft. for number 2 it is A.) 125 ft

Thats all you really need to answer, it doesnt ask for you to explain it or anything.

SAMB DOGRUS
4(2x-1)+3(2x+5)
4(2x - 1) + 3(2x+5)

Answers

Answer:

14x + 1

Step-by-step explanation:

4(2x-1)+3(2x+5) = 2x*4 - 1*4  + 2x*3 + 5*3

                          = 8x - 4 + 6x + 5

                          = 8x + 6x -4 + 5  {Combine like terms}

                          = 14x + 1

Ok, I think it is 14x+11

So what you should likely do first is distribute the 4 to the (2x-1), as well as distributing the 3 to the (2x+5). Then, you should end up with 8x-4+6x+15 once you have completed the distribution. After that, you should combine like terms so, 8x+6x to get 14x and then 15-4 to get 11 >>(NOTE: this can also be written as -4+15 which also gets 11, it just may be easier to see this as a subtraction problem in this sense), as a result you have 14x+11.

(I have work shown below)
Hope this helps!! :)

a b c d ?? help me pleas and ty

Answers

Answer:

a

Step-by-step explanation:

Answer:

a is the answer hopw this helps

Notice that two line segments are formed on each transversal between the central parallel line and the outer parallel lines. Measure the lengths of the four line segments.

Answers

Answer:

Picture?

Step-by-step explanation:

Answer:

heres the picture

Step-by-step explanation:

Noah says that to find 20% of a number he divides the number by 5. For example, 20% of 60 is 12, because 60 - 5 = 12. Complete the
statement about whether Noah's method always works.
His method never
works because multiplying by does not give the same result as dividing by 5.

Answers

Answer:

he is correct because 20% is the same thing as 1/5 amd 1/5 is the same thing as dividing by 5

Step-by-step explanation:

Please Answer! I have been working on this for an hour and can't get it!
Given A (4,2) and B (-1,y), what is y when the slope of AB is -7/5?

Answers

Answer: y= 9

Step-by-step explanation:

A = (4, 2)
B = (- 1, y)

We know that the slope is -7/5 which is rise/run

Thankfully the run is 5 which is the exact distance from 4 to -1 so we would need to apply -7 to 2 which would be 5
The answer is
B = (- 1, 5)

what is the interior of a decagon

Answers

Answer:

Decagon Definitions A decagon is a 10-sided polygon, with 10 interior angles, and 10 vertices which is where the sides meet. A regular decagon has 10 equal-length sides and equal-measure interior angles. Each angle measures 144° 144 ° and they all add up to 1,440° 1,440 °.

Step-by-step explanation:

really hope this helps, Good luck ^w

In geometry a decagon is a ten-sided polygon or 10-gon. The total sum of the interior angles of a simple decagon is 1440.

50 raised to the power of zero​

Answers

When any number/base is raised to the power of zero, it will always equal 1.

7 (3 - 0.5k) 3k - 5​

Answers

Your answer is going to be 63k-10.5k square 2 -5

Step-by-step explanation:

63k -10.5k square 2-5 and you have you answer

The cake store is having a 25 percent off sale on all of its cakes. If the cake you want reguarly cost 9$, how much would you save with the discount?

Answers

6.75 is the answer hope it helps

Task 2.43 - HELP FAST
Show me a simple and easy solutions to these types of tasks (brainliest is achieveable)

Answers

Answer:

I gave explanations on paper the only one that I really didn't know how to do was 2.44 -b

sorry

Please help!! I’m stuck on this one haha

Answers

Answer:

Ready to help soon as we know what that "one" is

Answer:

hahaha where is the pic

Step-by-step explanation:

Simplify 56yz^2/48y^5z^2

Answers

Step-by-step explanation:

10

EASY PLEASE HELP PLEASE HELP 15 POINTS...PLEASE HELP

Answers

Answer: its is 3

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

Identify each pair of angles as alternate interior, corresponding, alternate exterior, or none of these.
∠1 and ∠10
∠6 and ∠12
∠8 and ∠10
∠4 and ∠11
∠2 and ∠8

Answers

Step-by-step explanation:

Identification of given pairs of angles are as follows:

∠1 and ∠10: Corresponding angles

∠6 and ∠12: Alternate exterior angles

∠8 and ∠10: Alternate interior angles

∠4 and ∠11: Alternate interior angles

∠2 and ∠8: Alternate exterior angles

help if you cannn please

Answers

Answer:

I want to say it is 8,000

Step-by-step explanation:

go to 80 degrees and go up to the next point and that is on 8,000

Answer:

8,300

Step-by-step explanation:

If you continue the graph to 80 degrees, your average will end up at 8,300. You can tell because it will be above 8,000 but not close to 9,000 so it has to be 8,300.

What is the interquartile range of the following data set? 3,8, 14, 19, 22, 29, 33, 37, 43, 49. A. 26 B. 23 C. 19 D. 18

Answers

Answer:

I think the answer is B.23

Find two possible next terms of a sequence 2, 8, ____, ____ that is neither geometric nor arithmetic.

Answers

9514 1404 393

Answer:

one possible pair of next terms: 0, 1a second possible pair of next terms: 14, 32

Step-by-step explanation:

The difference of these numbers is 6, so the next two terms of an arithmetic sequence would be 8+6 = 14, and 14+6 = 20.

The ratio of these numbers is 4, so the next two terms of a geometric sequence would be 8×4 = 32, and 32×4 = 128.

Any pair of numbers can be used that is not (14, 20) or (32, 128).

The next two terms could be 0 and 1, or they could be 14 and 32.

  2, 8, 0, 1 . . . is a sequence of no particular type

  2, 8, 14, 32 . . . is a sequence of no particular type

Answer the question in the photo

Answers

Everything but C or all of the above because they can all be decimals technically

Answer:

B and C

Step-by-step explanation:

Both B and C

B)

2/5 = 0.4 (which terminate as decimals)

Similarly

C)

-1/4 = -0.25 (also terminates)

But A and D do not terminate

As for A) 1/3= 0.33333333..........

and for D) 7/9= 0.777777777......

In both cases the decimals are a never ending sequence or in other words does not terminate at all. They are irrational numbers.

Hope you understand. Thank you.

How do you find y-intercept with only slope and on point plz explain too
1,4;slope=-2

Answers

Answer:

y= -2x+6

Step-by-step explanation:

use point slope form ----> y-y,=m(x-x,)

(the commas serve as ones)

y-4= -2(x-1)

use distributive property

y-4= -2x+2

add 4 to each side

y= -2x+6

TRUE OR FALSE

The x-coordinate of the point at which the graph of an equation crosses the x-axis is a(n) x-intercept.

Answers

Answer:

TRUE

Step-by-step explanation:

GIVE ME BRAINLIEST

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