solve by factoring
[tex] {n}^{2} - 6n= 0[/tex]
Please show all work!​

Answers

Answer 1

Answer:

[tex]n=0,\\n=6[/tex]

Step-by-step explanation:

Given [tex]n^2-6n=0[/tex], we can factor out an [tex]n[/tex] from each of the terms on the left side of the equation:

[tex]n(n-6)=0[/tex]

Since we have two factors that multiply to zero, we can set each of them to zero and solve for [tex]n[/tex], because zero multiplied by anything is equal to zero. Therefore, as long as either [tex]n[/tex] or [tex]n-6[/tex] is equal to zero, the other factor can be any real number and the equation would still hold true.

Therefore, we have the following cases:

[tex]\begin{cases}n=0,\\n-6=0\end{cases}[/tex]

Solving, we get:

[tex]\begin{cases}n=0, n=\boxed{0}\\n-6=0, n=\boxed{6}\end{cases}[/tex]

Answer 2

[tex]\\ \sf\longmapsto n^2-6n=0[/tex]

Take n common

[tex]\\ \sf\longmapsto n(n-6)=0[/tex]

Now

[tex]\\ \sf\longmapsto n=0\:or \:(n-6)=0[/tex]

[tex]\\ \sf\longmapsto n=0\:or \;n=6[/tex]

Hence roots of the equation are 0 and 6 .

More:-

We can solve it through Quadratic formula

[tex]\boxed{\sf x=\dfrac{-b\pm \sqrt{b^2-4ac}}{2a}}[/tex]


Related Questions

what is 3 feet + 14 inches

Answers

Answer:

3.14

Step-by-step explanation:

NEED THE ANSWER ASAP, PLEASE HELP!! What are the coordinates of the focus of the parabola?

y=−18x2−2x−4

Answers

Answer:

Vertex is (-8, 4)  not one of the answers offered!

Step-by-step explanation:

Factor -1/8 out of the first two terms. Leave a space inside parentheses in which to add a number.

[tex]y=-\frac{1}{8}(x^2 + 16x + \text{-----})-4[/tex]

Complete the square by squaring half the coefficient of x and adding it in the space.

[tex](\frac{16}{2})^2=64[/tex]

Add 64 in the space you made, then compensate for that at the end of the expression by subtracting  [tex]-\frac{1}{8}(64)=-8[/tex]

[tex]y=-\frac{1}{8}(x^2+16x+64)-4+8\\y=-\frac{1}{8}(x+8)^2+4[/tex]

The x-coordinate of the vertex is the opposite of +8, the number inside the parentheses.  The y-coordinate of the vertex is the number at the end of the expression.

V(-8, 4)

Line Segments
Find ZX

Answers

Answer:

A:4.5

Step-by-step explanation:

all you need to do is count the spaces

in the polynomial below.
10x + 2
Enter only the number as your answer.
What’s the term of the polynomial below ?

Answers

Answer:

Step-by-step explanation:uywegfywieflwef

efeerewer

werwer

wer

wer

werwer

tew

rt

Answer: 2

Step-by-step explanation:

2 terms

If B is mid point of AE and AB is 25 what is AE

Answers

Answer:

50 i think not sure what kind a question this is

Still do not understand how its work

Answers

Answer:

Step-by-step explanation:

The slope or, gradient is the rate of change of a linear function( a function which can be represented by a line). We find a slope between two arbitrary  pair of points( arbitrary means what the question given us). One point we are given is (0,4) and an another point we are given is (2,1). Now we use the slope formula,

[tex]\frac{change in y }{change in x}[/tex]

So let plug in the values,

[tex]\frac{4-1}{0-2} =\frac{3}{-2} =-\frac{3}{2}[/tex]

The slope is -3/2

Phân tích đa thức thành nhân tử
10xy^2-5by^2+2ax^2-abx

Answers

Step-by-step explanation:

10xy^2-5by^2+2ax^2-abx =

5y²(2x -b) + ax(2x -b) =

(5y²+ax) (2x-b)

Answer:

10xy^2

Step-by-step explanation:

10xy ^ 2-5by ^ 2 + 2ax ^ 2-abx

(10xy^2-5by^2)+(2ax^2-abx)

=5y² (2x -b) + ax (2x -b)  

=( 5 y ² + ax ()2 x--b

help me find x

help please

Answers

Answer:

[tex]4\sqrt{6}[/tex]

[tex]\frac{sin\left(90\right)}{x}=\:\frac{sin\left(60\right)}{\left(\frac{\left(6\cdot \:sin\left(90\right)\right)}{sin\left(45\right)}\right)}[/tex]

Step-by-step explanation:

Answer: 4sqrt(6)

Explanation:

Sin(theta) = opp/hyp => hyp = opp/sin(theta)

Find opp:

opp = sqrt(6^2 + 6^2)
= sqrt(72)
= 6sqrt(2)
= 6 x 1.41

Hyp(also is x) = (6 x 1.41)/Sin(60°)
= (6 x 1.41 )/0.86
= 9.83
= 10 (round up)

And 4sqrt(6) = 9.79 = 10 (round up)

Thus I concluded that x = 4sqrt(6)

Find the perimeter and area , pls help me on this I’ll give brain list :)

Answers

Answer:

area= x^2

perimiter= 4x

Answer:

area of square = l² = x ² cm²

perimeter of square = 4 l = 4 x cm

mark me as brainliest

Help
me
please with questions 4, 5 and 6, THANKS

Answers

Answer:

hgzzrzdjjhhgccghjvcss

hgvvghjdszschkmbc

Step-by-step explanation:

bbhjvfdseaaasrfhujklknhgcffdzsshbjkhj

hggcfgbjvcfvjjhxsgj

Describe and correct the error in solving the equation

Describe and correct the error in solving the equation
2(s - 5) = 2 (s + 5)
2s - 10 = 2 s - 10
2s = 2s
0 = 0

Answers

Answer:

2(s + 5) = 2s + 10, not 2s - 10

2s - 10 = 2s + 10

[tex]0 \neq 20[/tex]

Type the correct answer in each box. A circle is centered at the point (-3, 2) and passes through the point (1, 5). The radius of the circle is units. The point (-7, ) lies on this circle.

Answers

Answer:

The circle has like an equation: (x+3)²+(y-2)²=r²

If x=1 then y=5 ==>(1+3)²+(5-2)²=r²==>4²+3²=r²==>r=5 (the radius)

if x=-7 then (-7+3)²+(y-2)²=25 ==>  (y-2)²=25-16==>y=2+3 or y=2-3

The points (-7,5) and (-7,-1) are on the circle.

Three numbers are C, BC, and ADC. The digits B and C are multiples of 3. If C×BC=ADC and A+D=B, find the numbers C, BC, and ADC.

Answers

C = 6
BC = 36
ADC = 216

6 x 36 = 216 and 2 + 1 = 3

The double bar graph shows how long, on average, different
animals live both in the wild and in captivity.
Which animal's life span in captivity has the least difference from
its life span in the wild?
ears

Answers

Answer: Cheetah

Step-by-step explanation: I got it right on the test :)

The animal with the least difference is cheetah with a value of 5

From the double bar chart attached :

Life span in wild is = blue bar

Life span in wild is = blue bar Life span in captivity = brown bar

Calculating the approximate difference between the two bar values as obtained from the graph :

CHEETAH = 17 - 12 = 5

POLAR = 35 - 20 = 15

TIGER = 26 - 20 = 6

GIANT PANDA = 30 - 20 = 10

LEOPARD = 28 - 20

The animal with the least difference between it's span in the wild and in captivity is CHEETAH with a value of 5.

Learn more : https://brainly.com/question/8644324

solve: k/3+4-5k=-2k (LOOK AT PICTURE)​

Answers

The answer for this is k=3/2

find the value of X ?​

Answers

Step-by-step explanation:

[tex]thank \: you[/tex]

ANSWER:
x=30°

EXPLANATION:
the line adds up to 180. subtract 90 and 60 from 180 to get 30.

I need help with this question

Answers

Answer:32 feet

Step-by-step explanation:

-8n - 8(- 4-2n)
Anyone?

Answers

Answer:

8n+32 Thats if youre simplyifying it

8(4+n)

Jdbdksjdjskdjjdjd

Shirley is going to have the exterior of her home painted Tim’s painting charges $250 plus $14 per hour colorful paints charges 22 per hour how many hours with the job need to take bottoms painting to be the better deal deal

Answers

Answer:

x=31.25

Step-by-step explanation:

250+14h=22h

250=22h-14h

250=8h

h=250/8

h=31.25

50 km/h to miles per hour

Answers

31.0686 miles per hours

31.069 miles per hour

The expression 14^6 divided by 14^4 is equal to
1. 14^2
2. 1
3. 2
4. 14^10

Answers

Answer:

1. 14^2. answer..yehshhd

Answer:

14 2

Step-by-step explanation:

correct.

can u help me with all the questions​

Answers

Answer:

b) -4xy

c) a³+b³

d)4x²+16xy+16y²+3x+4y

Step-by-step explanation:

b)expand each square bracket and minus them

c)times everything in the second bracket by a and then b

d)expand the first square bracket and add it to the other bracket

-21 - 8a = -5(a +6)
Step by step if possible

Answers

Answer:

Step-by-step explanation:

First multiply the -5 to (a+6)

The equation will look like this

-21 - 8a = -5a -30

then move the numbers around where you have a value times on one side, and a normal value on the other

add -5a to -8a, and add -21 to -30

the equation should look like this:

-13a = -51

then you need to get the a by itself, so divide -13 by -51

a= 13/51 (as a fraction with 13 on top)

Answer:

a = 3

Step-by-step explanation:

-21 - 8a = -5(a + 6)

-21 - 8a = -5a - 30

8a + (-5a) = 30 - 21

3a = 9

a = 9/3

a = 3

What fraction of $1,75 is 77c

Answers

Answer:

44 :

Step-by-step explanation:

77/175 = 0.44

0.44x100

A rectangle has a length of x and a width of 6x^3 + 3− x^2. Find the perimeter of the rectangle when the length is 5 feet

Answers

Answer:

1466 feet

Step-by-step explanation:

If length is 5 feet, x=5. The width will be 6*(5)^3+3-(5)^2=728 feet. The perimeter will be 2*(l+b)=2*733=1466 feet

Solve the equation 4(z−3)=2z9+22 using the balancing method.
z=

Answers

Answer:

z = 9

See my attachment below for step-by-step explanation.

please help thank so much

Answers

Answer:

A) y = 4

B) x = 5

Step-by-step explanation:

for a), the line is horizontal. The y-value doesn't change--it stays at 4.

For b), the line is vertical. So the x-value doesn't change--it stays at 5.

I NEED HELP PLEASE HELP ME

Answers

The answer to the question is B.

Find the sum: xy+6xy​

Answers

Answer:

7xy

Step-by-step explanation:

Suppose c = 5 and A = 85 degrees.

Answers

Answer:

a = 4.98

b = 0.44

B = 5

Concept:

Here, we need to know the idea of the Pythagorean theorem and basic trigonometry ratios.

Pythagorean theorem: a² + b² = c²

a = legb = legc = hypotenuse

Trigonometry ratios:

Sine = Opposite / Hypotenuse = O/HCosine = Adjacent / Hypotenuse = A/HTangent = Opposite / Adjacent = O/A

Solve:

**Disclaimer** The question did not clarify which place did it required to be rounded to as some of the values are infinite. I rounded to the hundredth place. If it is fine, then you may refer to my answers. If it is not, then you may tell me and I'll redo it.

Given information

c = 5

A = 85°

PART ONE: Find the value of [a]

sin (A) = Opposite / Hypotenuse = a / c

sin (85) = a / 5

a = 5 · sin (85)

a = 4.98

PART TWO: Find the value of [b]

cos (A) = Adjacent / Hypotenuse = b / c

cos (85) = b / 5

b = 5 · cos (85)

b = 0.44

PART THREE: Find the value of [B]

Since the triangle as a right angle sign, meaning it is a right triangle.

Therefore, the corner angle is 90°.

90 - 85 = 5°

Hope this helps!! :)

Please let me know if you have any questions

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