Replace ∗ with a monomial so that the trinomial may be represented by a square of a binomial: b2 + 20b +*

Answers

Answer 1

Given:

The expression is:

[tex]b^2+20b[/tex]

To find:

The a monomial so that the trinomial may be represented by a square of a binomial.

Solution:

If an expression is [tex]x^2+bx[/tex], then be need to add square of half of coefficient of x, i.e., [tex]\left(\dfrac{b}{2}\right)^2[/tex] in the given expression to make in perfect square.

We have,

[tex]b^2+20b[/tex]

Here, coefficient of b is 20,so wee need to add square of half of coefficient of b, i.e., [tex]\left(\dfrac{20}{2}\right)^2[/tex].

[tex]\left(\dfrac{20}{2}\right)^2=10^2[/tex]

[tex]\left(\dfrac{20}{2}\right)^2=100[/tex]

Therefore, we need to add 100 to make [tex]b^2+20b[/tex] a perfect square binomial.


Related Questions

What is the answer?? I need help

Answers

Answer:

∠EFD

Step-by-step explanation:

Δ ABC similar ΔDEF

Trick is to keep the letters in the same order. A for D, B for E, and C for F

∠BCA

Where is the B?

second.

What's the second letter in other triangle?

E.

C is the third. F is the third in the other.

A is first. D is first.

In right ΔDEF, DF = 20, m∠ F = 90˚, EF = 17. Which of the following is true? Does option 5 apply

Answers

Doesn’t apply because tan is TOA meaning opposite/adjacent so what happens is that your numbers 17 and 20 are divided nowhere having to do with a square root

El resultado de 3^2∙3^2 es:

Answers

Answer:

3^2 x 3^2 = 81

3^2 = 3 x 3 = 9

9 x 9 = 81

Answer:

[tex]3^{2} \times3^{2}[/tex]

[tex]3^{2+2}[/tex][tex]3^{4}[/tex][tex]3x^{4} =81[/tex]

[tex]Answer: 81[/tex]

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hope it helps...

have a great day!!

Can someone help me with this math homework please!

Answers

Answer:

12

Step-by-step explanation:

Given

[tex]\frac{1}{2}[/tex] x - [tex]\frac{5}{4}[/tex] + 2x = [tex]\frac{5}{6}[/tex] + x

Multiply through by 12 ( the LCM of 2, 4, 6 ) to clear the fractions

6x - 15 + 24x = 10 + 12x

Answer:

12

Step-by-step explanation:

[tex]12( \frac{1}{2}x - \frac{5}{4} +2x= \frac{5}{6} + x)[/tex]

6x-15+24x=10+12x

Find the area of the kite

Answers

Answer:

the area to the kite is sixty-four

Step-by-step explanation:

multiply the width to the height

Please help. I’m lost with this.

Answers

Answer:

35 miles

Step-by-step explanation:

You add up all of the miles on the chart to get 35 miles. Have a great day! I hope this helped.

I don’t get this pls helppppppp!!!!!!!!!!!!

Answers

Answer:

1) f(x)<x+4

f(x)>-x-3

f(x)<5

[tex]ANSWER: (-3,4)[/tex]

2)2.5>0+2

2.5<0+3

2.5<0+5

[tex]ANSWER: (0,2.5)[/tex]

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

HOPE IT HELPS

HAVE A GREAT DAY!!

Please help i have exam tom. ​

Answers

Answer:

Step-by-step explanation:

this is a simultaneous equation question

f(1)=8  so  a(1) + b = 8

f(4)=17 so a(4) + b = 17

can you figure this out from here ???

if you can't below is how to solve it

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a + b = 8

4a+b=17

multiply the top equation by 4 and then subtract the bottom one from the top

4a+4b = 32

-(4a +b = 17)

3b = 15

b=5

now plug 5 into the first equation

a + 5 = 8

a=3

there you go :)

The students in a school can be arranged in 12, 15 and 18 equal rows and also into a solid square. What is the lowest number of students that can be in the school?

Answers

Hello,

Let's x then number of students.

x is divisible by 12,15,18 thus by 180 (lcm)

x=180*k is a square

2²*3²*5*k= a square ==> k=5

x=180*5=900

Proof:

900/12=75

900/15=60

900/18=50

900=30²

6 students were asked the age of their oldest sibling:

21, 31, 26, 24, 28, 26.

Arrange the scores from lowest to highest.

Find the following. LABEL you answers. Q1, Q2, Q3, IQR, and Range.

Q1=

Q2 (median)=

Q3=

IQR= Q3- Q1

IQR=

Range: Max score - Min score

Range =

HELP ASAP PLEASE

Answers

Answer:

Q1= 31 AND 28

Q2= 26 AND 26

Q3= 24 AND 21

Step-by-step explanation:

Which of the following rational functions is graphed below?

Answers

Answer:

A)

Step-by-step explanation:

Write a recursive rule for the sequence.
x, x, 2x, 3x, 5x, 8x, ...
I know that it adds its last term but I don't know the rule/formula to show that.

Answers

Answer:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Step-by-step explanation:

This is the fibonacci sequence with each term times x.

Notice, you are adding the previous two terms to get the third term per consecutive triples of the sequence.

That is:

1x+1x=2x

1x+2x=3x

2x+3x=5x

3x+5x=8x

So since we need the two terms before the third per each consecutive triple in the sequence, our recursive definition must include two terms of the sequence. People normally go with the first two.

f(1)=1x since first term of f is 1x

f(2)=1x since second term of f is 1x

Yes, I'm naming the sequence f.

So I said a third term in a consecutive triple of the sequence is equal to the sum of it's two prior terms. Example, f(3)=f(2)+f(1) and f(4)=f(3)+f(2) and so on...

Note, the term before the nth term is the (n-1)th term and the term before the (n-1)th term is the (n-2)th term. Just like before the 15th term you have the (15-1)th term and before that one you have the (15-2)th term. That example simplified means before the 15th term you have the 14th and then the 13th.

So in general f(n)=f(n-1)+f(n-2).

So the full recursive definition is:

f(n)=f(n-1)+f(n-2)

f(1)=1x

f(2)=1x

Find the area of a circle with radius, R = 6.37m.
Give your answer rounded to 2 DP

Answers

Answer:

A = 127.48 rounded

Step-by-step explanation:

Area of a circle:  

A = [tex]\pi r^{2}[/tex]

A = [tex]\pi[/tex][tex](6.37)^{2}[/tex]

A = 127.48 rounded

Answer:

It's 127.47

First we take the radius and square it

6.37^2

then we multiply it by pi

40.5769 x π = 127.47

What are the coordinates of R?

Answers

Answer: y,0

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

Answers

Answer:

{2, 6, 14}

Step-by-step explanation:

Using f(x) = 4x + 6 with a domain of {-1, 0, 2 }, find the range.

To get the range, we will substitute the values of the domain into the given function as shown;

when x = -1

f(-1) = 4(-1)+6

f(-1) = -4+6

f(-1) = 2

when x = 0

f(0) = 4(0)+6

f(0) = 0+6

f(0) = 6

when x = 2

f(2) = 4(2)+6

f(2) = 8+6

f(2) = 14

Hence the required range are {2, 6, 14}

Factor 2x^2 +15x +25 = 0​

Answers

Answer:

Step-by-step explanation:

(2x + 5)(x + 5) = 0

2x + 5 = 0

2x = - 5

x = -5/2

x + 5 = 0

x = -5

The perimeter of a square is 80cm
state the length of one of its side

Answers

Answer:

20cm

Step-by-step explanation:

a square has 4 equally long sides.

when we know its perimeter, that means we know the sum of all 4 sides.

since all sides are equality long, we only need to divide the perimeter by 4 to get the length of an individual side.

80/4 = 20cm

Dairy cows at large commercial farms often receive injections of bST (Bovine Somatotropin), a hormone used to spur milk production. Bauman et al. (Journal of Dairy Science, 1989) reported that 12 cows given bST produced an average of 28.0 kg/d of milk. Assume that the standart deviation of milk production is 2.25 kg/d. (a) Find a 99% confidence interval for the true mean milk production. Round your answers to two decimal places (e.g. 98.76).

Answers

Answer:

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

Step-by-step explanation:

We have that to find our [tex]\alpha[/tex] level, that is the subtraction of 1 by the confidence interval divided by 2. So:

[tex]\alpha = \frac{1 - 0.99}{2} = 0.005[/tex]

Now, we have to find z in the Z-table as such z has a p-value of [tex]1 - \alpha[/tex].

That is z with a pvalue of [tex]1 - 0.005 = 0.995[/tex], so Z = 2.575.

Now, find the margin of error M as such

[tex]M = z\frac{\sigma}{\sqrt{n}}[/tex]

In which [tex]\sigma[/tex] is the standard deviation of the population and n is the size of the sample.

[tex]M = 2.575\frac{2.25}{\sqrt{12}} = 1.67[/tex]

The lower end of the interval is the sample mean subtracted by M. So it is 28 - 1.67 = 26.33 kg/d.

The upper end of the interval is the sample mean added to M. So it is 28 + 1.67 = 29.67 kg/d.

The 99% confidence interval for the true mean milk production is between 26.33 kg/d and 29.67 kg/d.

Question 2 Multiple Choice Worth 1 points)
(01.06 MC)
If D is the midpoint of AB and AB = 15, what is AD?

Answers

Answer:

If D is the midpoint of the segment AB, then we have to find the measure of segment AD. Therefore, AD = 7.5 units will be the answer.

Which of the following equations have no solutions?
Choose all answers that apply:
Α.
5x + 5 = -42 – 5
B
-4x + 5= -42 - 4
–4x + 5 = -4x – 5
D
4x + 5 = -4x + 5

Answers

Answer: b and c

a) 5x + 5 = -4x - 5

9x = - 10

x = -10/9

-

b) - 4x + 5 = -4x - 4

0x = -9 (no solution)

-

c) -4x + 5 = -4x - 5

0x = -10 (no solution)

-

d) 4x + 5 = -4x + 5

8x = 0

x = 0

-

hope it helps.

Also, I think that Brainly is an awesome app, but there's an app which is doing great work for me in maths, named Gauthmath. I will suggest it. Video concepts and answers from real tutors.

What is the value of y in the equation y = 3x - 2. whenx = 2? *​

Answers

Answer:

4

Step-by-step explanation:

y=3x-2

y=3(2)-2

y=6-2

y=4

Answer:
y=4

Explanation:
x=2
3x = 3 times by x = 2x3
2x3=6
6-2=4
Therefore y = 4

Your plane leaves Boston (Eastern Standard Time) at 7:00am, bound for Los Angeles (Pacific Standard Time). The flight takes 5 hours. What is time when you arrive in Los Angeles

Answers

Answer:

The plane arrives Los Angeles at 9:00 am

Step-by-step explanation:

The Pacific Standard Time (PST) in Los Angeles is 3 hours earlier than the Eastern Standard Time (EST) in Boston

Therefore,

7:00 am at Boston = 4:00 am in Los Angeles

If the plane takes 5 hours

What is time when you arrive in Los Angeles

The plane arrives Los Angeles at 4:00 am + 5:00 hours

= 9:00 am

The plane arrives Los Angeles at 9:00 am

The polynomial P is graphed.
What is the remainder when P(x) is divided by (x+1)?
(image should be attached somewhere)

Answers

Answer:

The remainder will be 3.

Step-by-step explanation:

We can use the Polynomial Remainder Theorem. According to the PRT, if we have a polynomial P(x) divided by a binomial in the form (x - a), then the remainder will be given by P(a).

Our polynomial P(x) is given by the graph, and we are dividing it by the binomial (x + 1).

We can rewrite the binomial as (x - (-1)).

Therefore, a = -1.

Then the remainder will be P(-1).

Looking at the graph, we can see that P(-1) = 3.

Thus, the remainder when P(x) is divided by (x + 1) is 3.

Answer:

The remainder is 3 :)

Step-by-step explanation:

please mark me as brainliest

Jose and a group of friends bought concert tickets for $257. The booking agency also charged a fee, bringing the total cost to $274.99. The amount of change is $17.99.
What is the percent increase in the cost due to the fee?

Answers

Answer: hello there here is your answer:

7%

Step-by-step explanation:

if you divide the difference between the two numbers it will give you a decimal ....you need to convert that decimal into a percent which is 7%

hope this help have a good day bye

Answer:

the other person is correct

Step-by-step explanation:

2.4x-15=1
3. 2y+3= -11
4.2y+7= -7
5. 3w+3=3

Answers

Answer:

2. x=4

3. y= -7

4. y = -7

5. w = 0

Step-by-step explanation:

2.

4x-15=1

4x=16

x=4

3.

2y+3= -11

2y=-14

y= -7

4.

2y+7= -7

2y = -14

y = -7

5.

3w+3=3

3w = 0

w = 0

2. x=4

step-by-step:
4x-15=1
4x=16 (add 15 to both sides)
x=4 (divide both sides by 4)

3. y=-7

step-by-step:
2y+3=-11
2y=-14 (subtract 3 from both sides)
y=-7 (divide both sides by 2)

4. y=-7

step-by-step:
2y+7=-7
2y=-14 (subtract 7 from both sides)
y=-7 (divide both sides by 2)

5. w=0

step-by-step:
3w+3=3
3w=0 (subtract 3 from both sides)
w=0 (divide both sides by 3)

hope this helps!

Miguel's scores on his first three math
PACE Tests were 95, 92, and 90. What
score does he need on his next test to
have a 94 average?

Answers

Answer: 99

Step-by-step explanation:

Fourth PACE Test = x

Since the average of all four tests is 94:

[tex]\frac{95+92+90+x}{4} =94\\\\(4)\frac{277+x}{4} =(4)94\\\\277+x=376\\\\x=376-277=99[/tex]

Find K if x + 1 is a factor of P(x) = Kx^2-x+2

Answers

Answer:

[tex]K=-3[/tex]

Step-by-step explanation:

According to the Factor Theorem, a binomial (x - a) is a factor of a polynomial P(x) if and only if P(a) = 0.

We have the polynomial:

[tex]P(x)=Kx^2-x+2[/tex]

And we want to find the value of K such that (x + 1) is a factor.

We can rewrite our factor as (x - (-1)). Thus, a = -1.

Then in orer for (x + 1) to be a factor, P(-1) must equal 0. Hence:

[tex]P(-1)=K(-1)^2-(-1)+2=0[/tex]

Simplify:

[tex]K+1+2=0[/tex]

Solve for K. Hence:

[tex]K=-3[/tex]

Which value of w ww makes 14 = 11 + w 8 ⋅ 6 14=11+ 8 w ​ ⋅614, equals, 11, plus, start fraction, w, divided by, 8, end fraction, dot, 6 a tru

Answers

Answer:

w=4

Step-by-step explanation:

I dont understand what to do?

Answers

Answer:

a) 122°

b) 37°

Step-by-step explanation:

a) supplement angle of 58° = 180° - 58° =122°

b) complement angle of 53° = 90° - 53° = 37°

I need help very badly. thanks​

Answers

Answer:

Step-by-step explanation:

area of a triangle is  1/2* base * height

1/2* 2.6* 3    is the area of the end of the object , now just multiply by it's length

9*( 1/2* 2.6* 3  )

this looks like choice 3 of the choices  

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