complete the square for the expression, then factor the trinomial.

x^2-4x

please explain how to do it as well! :)

Answers

Answer 1

Answer:

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]

Step-by-step explanation:

We need to complete the square for the expression [tex]x^2-4x[/tex]

For completing the square the expression would be of form [tex]a^2+2ab+b^2=(a+b)^2[/tex]

For given expression we have to add (2)^2 and subtract to make it complete the square.

[tex]x^2-2(x)(2)+(2)^2-(2)^2\\(x-2)^2-(2)^2[/tex]

Now, we have to factor the polynomial using formula [tex](a)^2-(b)^2=(a-b)(a+b)[/tex]

So, [tex](x-2)^2-(2)^2\\=(x-2-2)(x-2+2)\\=(x-4)(x-0)\\=x(x-4)[/tex]

Completing the square we get: [tex](x-2)^2-(2)^2[/tex]

and factoring the term we get: [tex]x(x-4)[/tex]


Related Questions

what is the value of 6^-3

Answers

Six to the power of negative three is one over six to the power of three which is 1/216

What is the slope of the line y=-2x+1

Answers

Answer:

-2

Step-by-step explanation:

The slope is -2
Explanation:
Y = mx +b
The m in the equation is the slope.

The area of a circle is 95.75cm2.
Find the length of the radius rounded to 2 DP.

Answers

Answer:

5.52 cm

Step-by-step explanation:

area of circle =pi r^2

r=square root (95.75/pi)

=5.52

If f(x) = x - 3 and g(x) = x^2, what is the value of (fºg)(2)?
1. 1
2. -1
3. 4
4. -4

Answers

Answer:

1

Step-by-step explanation:

First we need to find g (2) from g (2) = 2 ^ 2 to 4.

the result is 4, so f (4) asks, so f (4) = 4-3 = 1

The solution is x = 6 7x = 42
True
False



Someone help me ASAP

Answers

The answer is true because if you substitute 6 for x, you get 7 times 6 which does equal 42

Help PLS!! (Attached photo only 2 questions you can answer one of them) pls and thank you

Answers

Answer:

Yes (Answer to number 9)

Step-by-step explanation:

Isaac's answer is reasonable because if you do 365 times 8 you get 2,920. There are 365 days in a year and he said he drinks 8 glasses a day so that's how you get those numbers.

pneumonoultramicroscopicsilicovolcanoconiosis
unscramble that

Answers

Answer:

pneumonoultramicroscopicsilicovolcanoconiosis is the word

Step-by-step explanation:

Find the slope (-3, 7) and (0, - 2)
Can show steps too please I’ll mark u brainliest

Answers

Answer:

The answer is -3

Step-by-step explanation:

Slope means the rate of change of a line which is the letter m. Whenever you need to find slope remember this: m= y2-y1 over x2-x1.

(x1,y1)= (-3,7), ( x2, y2) = (0,-2) so the slope is -3.

I will mark u as the brainiest if u get this correct
thx
x

Answers

Answer:first fine the perimeter 42cm then do the lenth then width and u get the answer

Step-by-step explanation:

or find it on google

Answer:

length= 14cm and width= 7cm

Step-by-step explanation:

The ratio of the length to width is 2:1 so [tex]\frac{length (l)}{width(b)} =\frac{2}{1}[/tex] The perimeter is the sum of 2 length sides and 2 width sides so [tex]perimeter=length+length+width+width=2length+2width[/tex] Now from the ratio we know [tex]\frac{length (l)}{width(b)} =2[/tex] so [tex]length=2width[/tex] So put that into the perimeter equation[tex]perimeter=2(2width)+2width[/tex] so the perimeter is 42cm[tex]42cm=2(2width)+2width\\42cm=4width+2width\\42cm=6width\\width=7cm[/tex]  Since length is twice the width, length is 14 cm

Please help this is urgent I will be giving brainlyest to the first and correct answer!!!!! This question will be worth a lot of points too. Please do it right and fast this is really urgent! Tysm!

Answers

Answer:

Step-by-step explanation:

Hope this helped (:

5x = 10 can someone help me

Answers

Answer:

X=2

Step-by-step explanation: To get a single

x

, divide

5

x

by

5

.

Whatever you do to one side of the equals sign, you must do to the other side. This means, to get the right answer, you must do

5

x

5

=

10

5

The

5

's on the left side of the equals sign cancel out so it would make

5x5=105

and then

x=105105

is equal to

2

so...

x=2

Answer: Hey user! x = 2.

Step-by-step explanation: Step 1: Divide both sides by 5.

5x /5  =  10 /5

x=2

Consider marking this answer as brainliest if it helped you out.

The table below shows the proportional relationship between the weight of dog food, in ounces, and the number of bags of dog food:


Number of Bags
of Dog Food Number of Ounces
of Dog Food
3
36
4
48
5
60


What is the constant of proportionality?
12
36
39
72

Answers

Answer: 12

3×12=36

4×12=48

5×12=60

I hope this is good enough:

12 12 , hope this helps

In a system of two linear equations, the lines represented by each equation have the same slope and different y-intercepts. Which would be the total number of solutions to the system of equations?

Answers

Answer:

There will be no common solution

Step-by-step explanation:

Given that the lines that represent the equations in the system of the two linear equations have equal slope but that their y-intercept are different, we have;

The two lines are parallel to each other

The two lines are different lines, given that they have different y-intercept

By definition of parallel lines, we have that the two lines representing the two equations will never meet, and therefore, both equations do not have a common solution which is a value that satisfies both equations

Therefore, the two equations in the linear system of equations, do not have a common solution

Jaythen finds a shirt on sale for 10% off at a store. The original price was $20. Jaythen must also pay 8.5% sales tax. How much is the shirt before taxes? *
How much does Jaythen pay total for his shirt after taxes? *

Answers

Answer:

the shirt before taxes is $18. the shirt after taxes is 19.53

Step-by-step explanation:

you multiply 20x.10 and you'll get 2. so you subtract 2 from 20, that's $18.

to get taxes, you multpliply 18x.085 and you get $1.53.

you then add $1.53 to 18 and you get your total price of $19.53

Answer:

Before taxes, the shirt was $18. After taxes. the shirt is $19.53

Step-by-step explanation:


i need to find x in #9 and w in #10

Answers

Step-by-step explanation:

9. 131+106+67+x=360

237+67+x=360

304+x=360

x=56

10. 90+90+146+w=360

180+146+w=360

326+w=360

w=34

what is the slope of line QR if Q(11,-2) and R(11,6)

Answers

Answer:

noe lsoocslo oqiuepcn

Step-by-step explanation:

mcm

.Ahmed is making pancakes, his recipe uses 150g of flour for 8 pancakes. How much flour will he need to make 12 pancakes? Remember to give units in your answer.

Answers

Answer:

Ahmed needs 225g of flour to make 12 pancakes.

Step-by-step explanation:

With the information provided, you know that the recipe uses 150g of flour for 8 pancakes and you can use a rule of three to find the amount of flour needed to make 12 pancakes:

150g  →  8 pancakes

   x    ←  12 pancakes

x=(150*12)/8= 225g

According to this, the answer is that Ahmed needs 225g of flour to make 12 pancakes.

HELP NOWWWW!!!! A skier needs to buy new ski poles during a trip to Utah. The price of the poles is $24 and the sales tax is 4.7%. What is the total cost of the poles, including tax, rounded to the nearest cent?

Answers

Answer:

$25.13

Step-by-step explanation:

SALES PRICE = COST PRICE + SALES TAX

  =   $24 + $1.128  = $25. 128    

to the nearest cent would be .13

WHOEVER IS CORRECT GETS BRAINLIEST

The high temperature one day was 30°F. Then

the temperature dropped 23 degrees during the

night. Does the expression 30 + (-23) represent

the temperature at night? Explain

PLEASE EXPLAIN THE LAST PART BCS THEN IT GET MARKED WRONG. THANKS YOUUU

WHOEVER ANSWERS FIRST GETS BRAINLIEST

Answers

Answer:

yes because 30 + -23 and 30-23 gives the same value which is 7

Step-by-step explanation:


What is the solution of the linear-quadratic system of equations?

y=x' + 5x + 7
y = x +4

Answers

Answer:

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]

[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]

Step-by-step explanation:

Given the system of the equations

[tex]y=x^2\:+\:5x\:+\:7[/tex]

[tex]y\:=\:x\:+4[/tex]

steps to solve the system of the equations

[tex]\begin{bmatrix}y=x^2+5x+7\\ y=x+4\end{bmatrix}[/tex]

subtract the equations

[tex]y=x^2+5x+7[/tex]

[tex]-[/tex]

[tex]\underline{y=x+4}[/tex]

[tex]y-y=x^2+5x+7-\left(x+4\right)[/tex]

[tex]0=x^2+4x+3[/tex]

solving

[tex]0=x^2+4x+3[/tex]

[tex]\left(x+1\right)\left(x+3\right)=0[/tex]

[tex]x+1=0\quad \mathrm{or}\quad \:x+3=0[/tex]

[tex]x=-1,\:x=-3[/tex]

[tex]\mathrm{Plug\:the\:solutions\:}x=-1,\:x=-3\mathrm{\:into\:}y=x^2+5x+7[/tex]

substitute [tex]x=-1[/tex] into [tex]y=x^2+5x+7[/tex]

[tex]y=x^2+5x+7[/tex]

[tex]y=\left(-1\right)^2-5\cdot \:1+7[/tex]

[tex]y=1-5+7[/tex]

[tex]y=3[/tex]

Now substitute [tex]x=-3[/tex] into [tex]y=x^2+5x+7[/tex]

[tex]y=x^2+5x+7[/tex]

[tex]y=\left(-3\right)^2+5\left(-3\right)+7[/tex]

[tex]y=3^2-15+7[/tex]

[tex]y=3^2-8[/tex]

[tex]y=9-8[/tex]

[tex]y=1[/tex]

[tex]\mathrm{Therefore,\:the\:final\:solutions\:for\:}y=x^2+5x+7,\:y=x+4\mathrm{\:are\:}[/tex]

[tex]\begin{pmatrix}x=-1,\:&y=3\\ x=-3,\:&y=1\end{pmatrix}[/tex]

Help!!!!! Very urgent!!!!!!

Answers

Answer:

π /2

Step-by-step explanation:

Which is the cubic polynomial in standard form

with roots 3, -6, and 0?

Group of answer choices

x^2 - 3x - 18

x^3 - 3x^2 - 18x

x^2 + 3x - 18

x^3 + 3x^2 - 18x

Answers

Answer:

D

Step-by-step explanation:

Roots are the solution to a polynomial equation. So construct the factors of the polynomial. (x-3)(x+6)(x-0). Now multiply the factors and you will get option D.

Neveah goes out to dinner at a restaurant. The bill for dinner is $57.25, and Neveah gives the server a 20% tip. What is the total cost for dinner?

Need answer please :(

Answers

Answer:

11.45 + 57.25

Step-by-step explanation:

$68.70 is the correct answer because the question asks WHAT IS THE TOTAL COST FOR THE DINNER

The total cost he paid is $68.7

What is percentage?

Percentage, a relative value indicating hundredth parts of any quantity. One percent (symbolized 1%) is a hundredth part;

Given:

Bill for dinner is $57.25

20% tip was given

So, 20% on 57.25 is

=0.20 * 57.25

=11.45

Hence, total he paid = 57.25 +11.45 = 68.7

Learn more about percentage here:

https://brainly.com/question/13244100

#SPJ2

If you worked 120 hours in the summer and were paid $10 an hour, how much money would you expect to receive?

Answers

1,200 dollars
120 multiplied by 10 is 1,200

consider the conditional statement: if it swims in the water, then it is a fish

What is the truth value of the statement in this question? If false, give a counterexample! Pls help! I’ll give brainliest :)

Answers

it is not true, some things that swim in water are not fish. counterexample: whales (they swim in water but aren't fish)

TIMED
Find the slope​

Answers

Answer: The slope is -1.

I need help with this: 100 marked down 65%

Answers

Answer:

The item is now 35$.

Step-by-step explanation:

First, find 65% of 100, which is 65. Then subtract the discount, or the "mark down" from 100. This gets you $35, so the item is $35 after the mark down.

(Will Mark BRAINLIEST)
Which of the following correctly completes the equation below?

0.63 x ____ = 630



101

102

103

100

Answers

Answer:

100 is the closest but that only leaves you with 63 not 630. It would have to be 1000.

Step-by-step explanation:

Peter works as a delivery person for a bike shipping company. The graph shows a linear model for his
delivery times on different days.

(a) what is the equation of the line, first written in point-slope form and then written in slope- intercept form? show how you determined the equation.

(b) based on the linear model, predict how long it initially took peter to deliver his packages (y-intercept) approximately how much did his delivery time decrease per day (slope)? Complete sentences

Answers

Answer/Step-by-step explanation:

a. Using a point on the graph, (6, 12), and the slope of the line, we can first generate an equation in the point-slope form, given as [tex] y - b = m(x - a) [/tex], where,

m = slope, and (a, b) is a point on the line.

Using two points, (6, 12) and (3, 21), let's find slope, m.

[tex] slope (m) = \frac{y_2 - y_1}{x_2 - x_1} = \frac{21 - 12}{3 - 6} = \frac{9}{-3} = -3 [/tex]

Using a point (6, 12) and slope, m = -3, generate an equation in the point-slope form by substituting a = 6, b = 12, and m = -3 in [tex] y - b = m(x - a) [/tex].

✅Equation in point-slope form would be:

[tex] y - 12 = -3(x - 6) [/tex]

Rewrite this to make it be in the slope-intercept form, [tex] y = mx + b [/tex].

[tex] y - 12 = -3(x - 6) [/tex]

[tex] y - 12 = -3x + 18 [/tex]

Add 12 to both sides

[tex] y = -3x + 18 + 12 [/tex]

[tex] y = -3x + 30 [/tex]

✅The equation in slope-intercept form is [tex] y = -3x + 30 [/tex]

b. ✍️Based on the linear model, [tex] y = -3x + 30 [/tex], the 30 represents b = y-intercept.

✅Therefore, it took Peter 30 mins long initially to deliver his package.

✍️Based on the linear model, [tex] y = -3x + 30 [/tex], "-3" represents the slope.

✅Therefore,  Peter's delivery time decreased 3 mins per day.

Solve

10/r > 1; r = 5

Answers

Answer:

10/5 = 2

so its 2>1

Step-by-step explanation:

Other Questions
Out of core , solid , liquid, mantle, crust and soil which one is most dense and which one is least dense Where art thou, Muse, that thou forget'st so longTo speak of that which gives thee all thy might?Spend'st thou thy fury on some worthless song,Darkening thy power to lend base subjects light?Return, forgetful Muse, and straight redeemIn gentle numbers time so idly spent;Sing to the ear that doth thy lays esteemAnd gives thy pen both skill and argument.Rise, restive Muse, my love's sweet face survey,If Time have any wrinkle graven there;If any, be a satire to decay,And make Time's spoils despised every where.Give my love fame faster than Time wastes life;So thou prevent'st his scythe and crooked knife. Sonnet 100,William ShakespeareWhat is the primary purpose of the couplet in this sonnet?The purpose is to show the poets belief in a grim reaper who wields a scythe.The purpose is to complete the 14 lines required to make the poem a sonnet.The purpose is to add a twist to the ideas about time described in the three quatrains.The purpose is to inspire a poem that will help the speakers beloved become famous and live forever. What characteristic do todays plants probably share with their algae ancestors?A. physical structureB. the same form of chlorophyllC. where they liveD. how they move What slope would make the linesparallel?y = x + 6y = [?]x+4 Solve for x. Round any decimals to 3 places. log5(3x+1)=log5(10) A string is being pulled with a force of 20 N and moves a 5 kg block to the left at a constant speed. What is the coefficient of friction for between the floor and the block? Enter your answer as a decimal value (Example: 0.72) * I think the answer is 20 but this question is starting frustrating me What term refers to a persons sexual and romantic attraction to people of the opposite sex, the same sex, or both sexes?cisgendergender identitysexual orientationgender expression (06.01 LC)Read and match each sentence with its possible cause or effect.Question 2 options:A. Los daos a la propiedadB. El incendioC. La erosinD. La inundacin1. Despus de la erupcin del volcn perdieron el patio de su casa.2. El agua de las lluvias y del ro caus daos en la ciudad.3. Hace tres aos que tenemos huracanes cada verano.4. Llamaron a los bomberos cuando vieron el humo. Lucy can type 300 words in 5 minutes. How many words can Lucy type in 32 minutes? An object's characteristic properties include its ________.A.mass and weightB.size and shapeC.physical properties and chemical propertiesD.objective properties and subjective properties Evaluate:16 - 12 + 13.5 - - 14 E. Conjugate the verbs in the "yo" form 1. decir 2. venir 3. traer NP 4. poner 5. hacer I Well not only do humans and animals evolve plants do too. DNA changes over time which changes not only the appearance but the way the plant acts and protects itself. Therefore, the black leave was from a different leave that's DNA changed over time and it reacted to the crops grown by farmers and accelerated the growth hormones in the plants Please Im skipping math and Ela for this help PLS HELP ASAP 15 POINTS! Which statement would most likely be made by someone against ManifestDestiny?A. There are more opportunities to make a living in the territories.B. I'd like to purchase farmland cheaply.C. We will anger European powers if we expand westward.O D. We should allow ourselves to be colonized again. if the earth stops rotating about its axis then what will be the change in the value of g at a place in the equator-plane? Assume that earth is a sphere with a radius of 6.4*10*6m. Play made a recipe with 22 cups of liquid total 12 of which were fruit punch Correctly complete the statement with the appropriate term.Each level of the classification system is known as a(n) . Which is an example of a high-risk behavior that increases the likelihood of contracting an STI? Find the quotient: 13 5/11 pls help ASAP