Determine the value of n that makes the polynomial a perfect square trinomial. Then factor as the square of a binomial. Express numbers as integers or simplified fractions

Determine The Value Of N That Makes The Polynomial A Perfect Square Trinomial. Then Factor As The Square

Answers

Answer 1

Answer:

Step-by-step explanation:

[tex]y^2-11y+n\\=(y-(11/2))^2+n-(11/2)^2[/tex]

So in order the trinomial a perfect square we need

[tex]n-(11/2)^2 =0\\n= (11/2)^2\\n=\frac{121}{4}[/tex]

When n is equal to this number that we have

[tex]y^2-11y+n = (y- (11/2))^2[/tex]

Answer 2

The value of the variable n is 121/4 and the factor as the square of a binomial will be (y - 11 / 2)².

What is a perfect square trinomial?

A perfect square trinomial formulation can be created by taking the binomial equation's squared. If and then only if a trinomial satisfying the criterion b² = 4ac has the form ax² + bx + c, it is indeed a perfect square.

The polynomial is given below.

⇒ y² - 11y + n

If the polynomial is a perfect square trinomial. Then the value of the variable n will be half of the square of the number.

n = (11/2)²

n = 121/4

Then the factor as the square of a binomial will be

⇒ y² - 11y + n

⇒ y² - 11y + 121 / 4

⇒ (y - 11 / 2)²

The value of the variable n is 121/4 and the factor as the square of a binomial will be (y - 11 / 2)².

More about the perfect square trinomial link is given below.

https://brainly.com/question/16615974

#SPJ2


Related Questions

Write the equation of the line in slope intercept form that passes through the point (6,-2) and is parallel to the line y = -3x + 5.​

Answers

Answer:

For a line to be parallel it must have the same slope. So the slope of the new equation is 6.

The slope intercept form is y=mx+b. And we have a point (3,-5). Plug in what we know....

-5=6(3)+b

Solve for b (the y-intercept)

b= -23

Therefore.... y=6x-23

??? does that help????

Name the plane that is highlighted in the diagram below.

Answers

We want to define the name of a plane. We will find that some of the possible names are:

IJF, JFE, FEI.

To define any given plane, we can just use two collinear points that are on the plane and a third point, which is on the plane and is not-collinear to the other two points.

Remember that points are collinear if we can connect them with a line.

So for the shown plane, some names can be:

IJF

where IJ are two collinear points and F is the third point that is non-collinear to the other two and also is on the plane.

Other names can be:

JFE

FEI

etc.

If you want to learn more, you can read:

https://brainly.com/question/17486608

Please help ASAP and explain the answer, thank you

Answers

Answer:

Step-by-step explanation:

1) x² - 8x + 5 = 0

2) No subtract 5 from both sides

x² - 8x + 5 - 5 = 0 - 5

x² - 8x  = -5

3) Now find (8/2) = 4. Add 4² = 16 to both sides

x² - 8x + 16 = -5 + 16

x² - 8x + 16 = 11

4) (x - 4)²  = 11

5) Take square root both sides

x - 4 = ±√11

x = 4 ±√11

You earn $7.50 per hour to help your uncle in his shop. You earn $33.75. Write and solve an equation to find how many hours you worked.​

Answers

Answer:

You worked for 4.5( for and a half hour)

Step-by-step explanation:

33.75$(total amount of money you got)

7.50 ($ money per hour)

33.75/7.50= 4.5H

-6*9 match the correct answer with the correct answer

Answers

Answer:

-6 x 9 = -54

Explanation:

What are the coordinates of the midpoint segment joining the points A(-3,-4) and B(4,2)

Answers

Answer:

Step-by-step explanation:

x1 + x2 divided by 2

y1 + y2 divided by 2

-3 + 4 is 1/2

-4 + 4 is 0

(0.5,0)

i could be wrong but i did it in my head , but the equation is right . just do that in order

Answer:

( 0.5, - 1 )

Step-by-step explanation:

So here is the equation:

x2 + x1 / 2 For the x coordinate

y2 + y1 / 2 For the y coordinate

x2 is 4 and x 1 is -3 whilst y2 is 2 and y1 is -4.

Thus:

4 + -3 / 2 = 0.5 x coordinate

2 + -4 / 2 = -1 y coordinate

So it becomes (0.5, -1)

HOPE THIS HELPED

Write each decimal number as a fraction or mixed number in simplest form?​

Answers

You're letting x = 0.325325325…, which means

1000x = 325.325325325…   (or 325.325, but pretend the underline is actually an overline)

Then the next box you'd fill in with 0.325325325… (or 0.325).

Subtracting these, you have

1000x - x = 325.325325325… - 0.325325325…

999x = 325

Finally, solving for x gives

x = 325/999

In the diagram, figure 1 is the pre-image. Label figures 2, 3, and 4 with the type of transformation used to create each figure.

Answers

Answer:

Label figures 2, 3, and 4 with the type of transformation used to create each figure. Rotation Reflection Translation Dilation

Answer:

2 refliction , 3 rotaion 4 , translation

Step-by-step explanation:

Write an integer for this situation: a profit of $12

Answers

Answer:

+12

Step-by-step explanation:

Find the slope of the line passing through the points (-6, 6) and (4, -7).

Answers

Answer:

-13/10

Step-by-step explanation:

The formula for slope is [ y2-y1/x2-x1 ].

-7-6/4-(-6)

-13/10

Best of Luck!

solve this problem
may be easy or nt​

Answers

Answer:

Mark me as brainliest ❤️

I need help pls(: I’m confused about this!!

Answers

Answer:

(4,3)

Step-by-step explanation:

hope this helps :)

How do you know what a zero pair is using the counter chips

Answers

A zero pair is always 2 opposite integers

10 + 8 × 90 ÷ 9 - 4 is what?

Answers

Answer:

solution,

given,

10 + 8 × 90 ÷ 9 - 4

=10 + 8 ×10 - 4

=10 + 80 - 4

=90 - 4

=86

Step-by-step explanation:

it is simplify . In simplification, we solve it by following rules bracket,divide, multiply, add and subtract. please remind it

i think it was helpful for all of you.

A box contains 6 blue pens and 10 red pens. What is the ratio of red pens to total pens as a fraction? *

Answers

Answer:

total=16pens and 10 red pens so ratio=10:16 fraction =5/8

Step-by-step explanation:

Hi how can I graph this if it dosn't have a slope?
1. y = (2/3)x - 1
y = -x + 4

Answers

System of Linear Equations entered :

[1] y - 2x/3 = -1

[2] y + x = 4

// To remove fractions, multiply equations by their respective LCD

Multiply equation [1] by 3

// Equations now take the shape:

[1] 3y - 2x = -3

[2] y + x = 4

Graphic Representation of the Equations :

-2x + 3y = -3 x + y = 4

Solve by Substitution :

// Solve equation [2] for the variable x

[2] x = -y + 4

// Plug this in for variable x in equation [1]

[1] 3y - 2•(-y +4) = -3

[1] 5y = 5

// Solve equation [1] for the variable y

[1] 5y = 5

[1] y = 1

// By now we know this much :

y = 1

x = -y+4

// Use the y value to solve for x

x = -(1)+4 = 3

I hope this help you

PLEASE HELP 12 POINTS
A local hamburger shop sold a combined total of 709 hamburgers and cheeseburgers on Wednesday. There were 59 more cheeseburgers sold than hamburgers. How many hamburgers were sold on Wednesday?

Answers

Basically subtract 59 from 709 which is 650 , halve 650 which is 325 and then add 59 to the other 325 that u have to add to the first 325 to make 650 so
709-59= 650
650\2= 325
325 + 59= 384
So 384 cheeseburgers were sold and 325 hamburgers
384+325= 709

Find the midpoint of (-3,7) and (-9,1).​

Answers

Answer:

(-6, 4)

Step-by-step explanation:

(-6,4) is your mid point

the number is a prime

the number is less than 19

the sum of the digits of the number is greater than 7 please

Answers

Answer:

17

Step-by-step explanation:

okay so we know its double digit and less than nineteen so... 11 through eighteen. now we just find the prime numbers.

11

13

17

Now to finally narrow it down.

1+1=2 so 11 doesn't work

1+3= 4 so 13 is a no-go

1+7=8 so BLAMMO

Which statement is true?
A) |13| = - 13
OB) - |-131 = 13
C) - |13|= 13
OD) |-13|= 13

Answers

Answer:

D

Step-by-step explanation:

Answer:

D

Step-by-step explanation:

|-13|=13

[tex]\sqrt{60} /\sqrt{5} (in radical form)[/tex]

Answers

[tex]2\sqrt{3}[/tex]

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

Steps:

1st write out equation

[tex]\frac{\sqrt{60}}{\sqrt{5}} \\[/tex]

Second write the conjugant and multiply it.

[tex]\frac{\sqrt{60}}{\sqrt{5}} * \frac{\sqrt{5} }{\sqrt{5} }[/tex]

After multiplying you should get,

[tex]\frac{10\sqrt{3}}{5}[/tex]

now after simplifying you should get

[tex]2\sqrt{3}[/tex]

Which statement below matches the square above?
A.
The figure has two pairs of perpendicular lines and no parallel lines.

B.
The figure has two pairs of parallel sides that are the same length and perpendicular to each other.

C.
The figure has two pairs of parallel lines that are the same length and no perpendicular lines.

D.
The figure has two pairs of perpendicular lines and exactly one pair of parallel lines.

Answers

C is the best answer

round 8.1074 to the nearest hundredth.

Answers

Answer:

8.11

Step-by-step explanation:

The 7 makes the 0 a 1


HELP ME PLEASE WHATS RBE X AND Y INTERCEPT

Answers

x axis (-40,0)
y axis (0,15)

solve the equation simultaneously:
y = 2-2x
y = -16 + 2(x-3)^2​

Answers

Answer:

y = -26

Step-by-step explanation:

[y = 2 - 2x] + [y = -16 + 2(x - 3)^2​]

y = -16 + 2x - 6^2

y = -16 + 2x - 6^2 + 2 - 2x

y = (+2x - 2x) - 16 - 6^2 + 2

y = -16 - 6^2 + 2

y = -16 - 12 + 2

y = - 28 + 2

y = -26

what type of number is 4+5√2?
Natural
whole
integer
real
rational
irrational

Answers

Answer:

Real and irrational numbers

A scientist is studying some rabbits. A disease is killing the rabbits. A population of 240 of these rabbits was reduced to 180 rabbits in two days. The rabbit population is decreasing exponentially. Work out how many of the 240 rabbits will still be alive at the end of 7 days (5 marks)

Answers

Here we have a problem with exponential decays,  we will find that we can expect that 110 rabbits will still be alive at the end of 7 days.

An exponential decay can be written:

P(x) = A*e^(-k*x)

Where:

A is the initial amount.

k defines the rate of decrease.

x is our variable.

In this case, the exponential decay is applied to the population of rabbits, and we know that:

The initial population is 240, then A = 240

P(x) = 240*e^(-k*x)

We also know that after two days (at x = 2) the population was 180, then we can write:

P(2) = 180 = 240*e^(-k*2)

With this equation we can find the value of k:

180 = 240*e^(-k*2)

180/240 = e^(-k*2)

Now remember that:

Ln(e^n) = n

then if we apply the natural logarithm to both sides, we get:

Ln(180/240) = Ln(e^(-k*2)) = -k*2

-Ln(180/240)/2 = k = 0.144

Then the equation is:

P(x) = 240*e^(-0.144*x)

Now with this, we can find the population of rabbits after 7 days, we just need to evaluate the above function at x = 7, we will get:

P(7) = 240*e^(-0.144*7) = 110.3

That we could round down to the next whole number, 110.

Concluding, we can expect that 110 rabbits will still be alive at the end of 7 days.

If you want to learn more, you can read:

https://brainly.com/question/14355665

Point M is on line segment \overline{LN} LN . Given LN=17LN=17 and MN=3,MN=3, determine the length \overline{LM}. LM .

Answers

Answer:

14

Step-by-step explanation:

the full length of the line is 17, half of it is 3.

subtract line LN from MN to get LM.

17-3=14

Answer:

LN=4

Step-by-step explanation:


1. Which equation represents the scenario above?
a. 4x = 64 + 200
b. 68x = 200
c. 64 + 4x = 200
d. 64x + 4 = 200

2. Describe what the variable x represents in the equation you chose.


I REALLY NEED HELP ITS DUE IN A FEW HOURS ):

Answers

1) C
2) The variable x in this equation represents how much each bracelet costs individually.

Answer:

C. 64+4x=200

'X' is the price of the bracelet

Step-by-step explanation:

Ring: $64

4 Bracelet: 4 ( $x )

Total spend: $200=Ring+4 Bracelet

64+4x=200

4x=200-64

4x=136

x=136/4

x=34

Bracelet: $34

Round your answer to two decimal places.
5
1) Leah makes an origami photo frame to showcase her favorite family picture. The
size of the frame is 3.5" X 8". Determine the area of the photo frame and express the
answer in square feet.

Answers

Haha is tlsbehejjdnfjnrjrnjrnrjfndjjdhdjd
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