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

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

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)

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:

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

.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.

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.

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.

TIMED
Find the slope​

Answers

Answer: The slope is -1.

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.

(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:

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.


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]

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 (:

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.

pneumonoultramicroscopicsilicovolcanoconiosis
unscramble that

Answers

Answer:

pneumonoultramicroscopicsilicovolcanoconiosis is the word

Step-by-step explanation:

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

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

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.

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

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

Solve

10/r > 1; r = 5

Answers

Answer:

10/5 = 2

so its 2>1

Step-by-step explanation:

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

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


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 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.

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

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:

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

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

Answers

Answer:

π /2

Step-by-step explanation:

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