factorize the following:
x^4+x^2+1​

Answers

Answer 1

Answer:

[tex] {x}^{4} + x {}^{2} + 1 \\ \\ {x}^{4} + 2 {x}^{2} - {x}^{2} + 1 \\ \\ (x {}^{4} + 2 {x}^{2} + 1) - {x}^{2} \\ \\ ( {x}^{2} + 1) {}^{2} - {x}^{2} \\ \\ ( {x}^{2} + 1 + x)( {x}^{2} - x + 1) \\ \\ ( {x}^{2} + x + 1)( {x}^{2} - x + 1)[/tex]


Related Questions

-6 + 5(8 - k) - 8k
Dose anyone know?

Answers

Answer:

34 - 13k

Step-by-step explanation:

Answer:

the solution is 34 - 13k

Step-by-step explanation:

Regular pyramid
B=
P=
H=
l=
LA=
SA=
V=

Answers

Answer:

B (Base surface area) = 16 [tex]m^{2}[/tex]

P (Perimeter of the base) = 16 m

H (Height) = 6 m

L (Not sure what L means. I assume it's the slant height??) =  6.32 m

LA (I assume lateral surface area) = [tex]50.59 m^{2}[/tex]

SA (I assume total surface area) = [tex]66.59 m^{2}[/tex]

V (volume) = [tex]32 m^{3}[/tex]

Step-by-step explanation:

Sorry if anything is wrong. It would be more helpful to put the names, instead of acronyms.

Perimeter of base=4(4)=16m

Area of base=4²=16m²

Height=6m

Slant height=6.3m

Lateral surface area=4(1/2(4)(6.3))=8(6.3)=50.54m²

Total surface area=50.54+16=66.54m²

Volume=a²h/3=4²/(6)/3=16(2)=32m³

urgent answer needed pls​

Answers

Answer:

It's 87.

Step-by-step explanation:

See the picture upside down.

Help!!! can someone help me solve this page im getting really confused I will mark you brainliest ☆ if you help me solve this :)​

Answers

4 no. one i guess 10

not sure

simplify -2(x-4)-8(6-8x)

Answers

The simplified form of the expression is 2(31x-20).

Given the expression is -2(x-4)-8(6-8x).

Expressions in mathematics are mathematical statements containing at least two terms containing numbers or variables or both connected by an intermediate operator.

The given expression is solved by using the distributive property a(b+c)=ab+bc, we get

-2(x-4)-8(6-8x)=-2x-4(-2)-8(6)-8(-8x)

-2(x-4)-8(6-8x)=-2x+8-48+64x

Now, we will simplify the above expression by adding or subtracting like terms, we get

-2(x-4)-8(6-8x)=62x-40

-2(x-4)-8(6-8x)=2(31x-20)

Hence, the simplified form of the given expression -2(x-4)-8(6-8x) is 2(31x-20).

Learn more about distributive property from here brainly.com/question/8329981

#SPJ1

can someone plz plzplz​

Answers

Step-by-step explanation:

<QTS<BCD<QPO and <ORS<EFG<ACF and <CFE<BED<TUY<ABC+<BCD=180° (being co-interior angles)

1. ∠STQ

2. ∠BCD

3. ∠ORS and ∠QPO both are alternate angles of ∠POR

4. ∠EFG

5. ∠DCF and ∠CFH

6. ∠DEB

7. ∠YUT

8. 180° (because they are co-interior angles)

plz help me plz!!!!!!​

Answers

Answer:

6. was Narbada alienated ...?

7. did Pratima make ...?

8. did Zayasha wander ...?

9. Did Sachin behave as if...?

10. did susan look ...?

12. do sarina and sazina jump ...? (plural noun)

13. Were ... and ... aghast to...?

Step-by-step explanation:

yes/ no question:

Past simple: Did + S + V-bare...?

Passive voice (Past simple): Was/ Were + S + V3/ed (past participle)

How many times smaller is the value 29,000 than the value 290,000

Answers

10 times smaller
Because 290,000/29,000=10

The perimeter of an equilateral triangle is 15 inches more than the perimeter of a square, and the side of the triangle is 7 inches longer than the side of the square. What is the side of the triangle?

Answers

Answer:

13 inches

Step-by-step explanation:

in an equilateral triangle all sides had we the same length.

so, the perimeter is simply 3×one triangle side.

and the perimeter of the square is 4×one square side.

x = triangle side length

y = square side length

3x = 4y + 15

x = y + 7

we use the second equation as substitution in the first equation.

3(y + 7) = 4y + 15

3y +21 = 4y + 15

6 = y

x = y + 7 = 6 + 7 = 13 inches

number 39 show work pls tysm

Answers

Answer:

42.25/6.5=6.5 per hour

Step-by-step explanation:

Hi! I'm happy to help!

To solve this, we need to divide the amount of money by the number of hours.

You earned $42.25, over the course of 6.5 hours.

42.25/6.5

6.5

So, you earned $6.50 per hour cleaning a community park.

I hope this was helpful, keep learning! :D

50 points hurry!!!!!
find what belongs in the missing/blocked out line.

Answers

Answer:

4+7(11)

Step-by-step explanation:

the square root of 121 is 11 so it would be 4+7(11)

Answer:

4 + 7 × 11

Step-by-step explanation:

[tex]4 + 7 \sqrt{ {5}^{3} - 4} [/tex]

[tex] = 4 + 7 \sqrt{125 - 4} [/tex]

[tex] = 4 + 7 \sqrt{121} [/tex]

simplify the square root of 121

[tex] \boxed{\green{\boxed{\bold{= 4 + 7 \times 11}}}}[/tex]

[tex] = 4 + 77[/tex]

[tex] = 81[/tex]

┈➤ . . ⇢ ˗ˏˋ⌦ ..♡ˎˊ˗ ꒰✈꒱   

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┊✿꒷꒦ Thankyou

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★ . ꜝꜞ ᳝ ࣪ hope that helped!  ʬʬ

Which verbal model represents the algebraic expression 5(n+1) ?
O five divided by the quantity of a number minus 1
O five divided by the quantity of a number plus 1
O five times the quantity of a number minus 1
five times the quantity of a number plus 1
Next >

Answers

Answer:

Five times the quantity of a number plus 1

[tex]\tt{ \green{P} \orange{s} \red{y} \blue{x} \pink{c} \purple{h} \green{i} e}[/tex]

How Does 2 / 0.1 become 20?​

Answers

The decimal value 0.1 converts to the fraction 1/10

This is because the 1 in 0.1 represents "one tenth", as its in the tenths place.

So this means 2/0.1 is the same as 2/(1/10) or [tex]2 \div \frac{1}{10}[/tex]

Then we can follow these steps:

[tex]2 \div \frac{1}{10} = \frac{2}{1} \div \frac{1}{10}\\\\\\2 \div \frac{1}{10} = \frac{2}{1} \times \frac{10}{1}\\\\\\2 \div \frac{1}{10} = \frac{2*10}{1*1}\\\\\\2 \div \frac{1}{10} = \frac{20}{1}\\\\\\2 \div \frac{1}{10} = 20\\\\\\[/tex]

Note in the second step, we flip the second fraction to go from a division problem to a multiplication problem. The general rule is [tex]\frac{A}{B} \div \frac{C}{D} = \frac{A}{B} \times \frac{D}{C}[/tex]. The first fraction does not flip.

what is the first term, common difference, and 16th term

Answers

Answer:

The 1st term is -67

Step-by-step explanation:

I. When Sn = [tex]\frac{n}{2}[/tex]([tex]a_{1} + a_{n}[/tex])

   If  Sn = 124, n = 8 and [tex]a_{n}[/tex] = 98

                124 = 8/2(a + 98)

                124 = 4(a + 98)

                124 = 4a + 392

                124 - 392 = 4a

                -268/4 = a

                -67 = [tex]a_{1}[/tex]

Hope that help :D

Last year, the Widget Corporation had $650,000 in sales. This year, sales are
down 4%. How much did the Widget Corporation sell this year?

Answers

Answer:

$624,000

Step-by-step explanation:

100-4 = 96

96/100 = 0.96

650,000 x 0.96 = 624,000

= $624,000

simply this equation ​

Answers

Answer:

b= x

Step-by-step explanation:

[tex]\boxed{ {x}^{m} \times {x}^{n} = {x}^{m + n} }[/tex]

Applying the law of indices above:

[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } [/tex]

[tex]b = {x}^{ \frac{1}{4} + \frac{3}{4} } [/tex]

[tex]b = {x}^{ \frac{4}{4} } [/tex]

[tex]b = {x}^{1} [/tex]

∴b= x

Answer:

It is b = x

Step-by-step explanation:

From law of indices:

[tex] {a}^{b} \times {a}^{c} = {a}^{(b + c)} [/tex]

for, multiplication: same coefficients, we sum up the powers.

[tex]b = {x}^{ \frac{1}{4} } \times {x}^{ \frac{3}{4} } \\ b = {x}^{( \frac{1}{4} + \frac{3}{4} ) } \\ b = {x}^{ \frac{4}{4} } \\ b = {x}^{1} \\ b = x[/tex]

(x-1)^2+(2-x)^2-3(x-5)*(x-5)

Answers

Answer:

[tex]-x^2+24x-70[/tex]

Step-by-step explanation:

[tex](x-1)^2+(2-x)^2-3(x-5)*(x-5)\\=> (x - 1)^2 + (2 - x)^2 - 3(x - 5)^2\\=> x^2 - 2x + 1 + 4 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 2x + 5 - 4x + x^2 - 3(x - 5)^2\\=> x^2 - 6x + 5 + x^2 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x - 5)^2\\=> 2x^2 - 6x+5 - 3(x^2 - 10x + 25)\\=> 2x^2 - 6x+5 - 3x^2+30x-75\\=> -x^2 - 6x + 5 + 30x - 75\\=> -x^2 + 24x + 5-75\\=> -x^2+24x-70[/tex]

Formula used =

[tex](a-b)^2 = a^2+ 2ab + b^2[/tex]

Mary needs to order pizza for 18 students. Each student should get ¼ of a pizza. How many pizzas should Mary order? How much pizza will be left over?

Answers

Answer:

5 pizzas; 1/2 of a slice

Step-by-step explanation:

18/4=

4.5; the .5 is the leftover as the pizza so Mary needs 5 pizzas to be ordered.

Which rigid motion preserves the orientation of a figure after being transformed?
Question 3 options:

a)

all of the above

b)

translation

c)

rotation

d)

reflection

Answers

Answer:

Step-by-step explanation:

I think it’s translation because your just sliding the figure

Find the kinetic energy if a body is of mass 10 kg moving with a velocity of 20 m/s

Answers

Answer:

2000 J

Step-by-step explanation:

We know that

KE = ½ mv²

KE = ½ × 10 × (20)²

KE = 5 × 400

KE = 2000 J

Now we have to,

find the required kinetic energy.

The formula we use,

→ KE = 1/2 mv²

The given information is,

→ Mass (m) = 10 kg

→ Velocity (v) = 20 m/s

Let's find the kinetic energy,

→ 1/2 mv²

→ 1/2 × 10 × (20)²

→ 5 x 400

→ [2000 J]

Thus, kinetic energy is 2000 J.

(
Ella and Bell made $12.75 at their
lemonade stand in the morning
and $9 during the afternoon. How
much did they make at the end of
the day?
You had to show you awake

Answers

Answer:

is it $21.75

Step-by-step explanation:

add it together

Answer:

$21.75

Step-by-step explanation:

$12.75+$9=$21.75.

Find f(4) for the function below.

f(x) = |x-7| + 3

Answers

Step-by-step explanation:

f(x) = |x-7| + 3

when x is equal to 4, then

f(4) = |4-7| + 3

=-3+3

=0

Answer:

[tex]\boxed {\boxed {\sf f(4)= 6}}[/tex]

Step-by-step explanation:

We are asked to find f(4) for a function. We are finding the output or y-value when the input or x-value is 4.

[tex]f(x)= |x-7| +3[/tex]

Substitute 4 for x in the function.

[tex]f(4) = |4-7| +3[/tex]

Solve inside the absolute value signs.

[tex]f(4)= |-3|+3[/tex]

The absolute value of a number is its distance from 0 on a number line.  It is always the positive version of a number, so the absolute value of -3 is 3.

[tex]f(4)= 3+3[/tex]

Add.

[tex]f(4)= 6[/tex]

For the function f(x)= |x-7| +3, f(4) is equal to 6.

two units of length used in ancient Egypt were cubits and palms, where 1 cubit is equivalent to 7 palms. the great sphinx statue in Giza is approximately 140 cubits long. which of the following best approximates the length, in palms, of the great sphinx statue? A) 0.05 B) 20 C) 140 or D) 980

Answers

Answer:

Step-by-step explanation:

option a

Find three consecutive even numbers
such that the sum of three times the
smaller number and five times the larger
number is 40 more than twice the median
number.

Answers

Answer:

1, 4, 9

Step-by-step explanation:

1 x 3 = 3

9 x 5 = 45

total = 48

median = 4

twice median = 4×2

= 8

sum = 8 + 40 = 48

48=48

What is the value of the expression below?

675 ÷ 3 - (15 - 12)²

PLZ HELP-

Answers

Answer:

675 ÷ 3 - ( 225 - 144)

675 ÷ 3 - (81)

225 - 81

144

I hope it's helps you

Answer:

[tex]675 \div 3 - (15 - 12) {}^{2} \\ \\ 675 \div 3 - (225 - 144) \\ \\ 675 \div 3 - 81 \\ \\ 225 - 81 \\ \\ = 144[/tex]

Can someone answer this ASAP?
NO IMAGE EXAMPLES PLEASE I CANT SEE THEM

Answers

Answer:

6.3

Step-by-step explanation:

Given,

Area of a triangle = 40

Therefore,

Side of the square

[tex] = \sqrt{40} [/tex]

= 6.3245553203

= 6.3 (estimated) (Ans)

Answer is 6.3 because the area of the triangle is 40 but then when you do it by it’s square roots it becomes 6.3

0.12 is a repeating decimal
4. Write 0.12 as a fraction.
Let x=
100x=
100x- x= -
99x=
x=
So 0.12 is equal to


Answers

Answer:

12/99

Step-by-step explanation:

x=0.121212

100x=12.121212

100x-x=12.1212-0.1212

99x=12

x= 12/99

Answer:

6/50 is simplified to 3/25

Step-by-step explanation:

step 1 Address input parameters & values.

Input parameters & values: The decimal number = 0.12

parameters & values: The decimal number = 0.12step 2 Write it as a fraction

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 4

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/25

parameters & values: The decimal number = 0.12step 2 Write it as a fraction0.12/1step 3 Multiply 100 to both numerator & denominator(0.12 x 100)/(1 x 100) = 12/100It can be written as 12% = 12/100 or 12/100step 4 To simplify 12/100 to its lowest terms, find LCM (Least Common Multiple) for 12 & 100.4 is the LCM for 12 & 100step 5 divide numerator & denominator by 412/100 = (12 / 4) / (100 / 4)= 3/253/25 is a simplest fraction for the decimal point number 0.12

Solve for the value of k

Answers

Answer:

k=13

Step-by-step explanation:

3k+6+4k-7+90=180

7k+89=180

k=180-89/7

k=13

Identify the number as rational or irrational.

Answers

Identify which number??

Help me out plzzzzzz

Answers

Answer:

∠1 = 56

Step-by-step explanation:

To find ∠1 we need to

∠1 + ∠2 = ∠ABD

∠1 + 17 = 75

∠1 = 75 -17

∠1 = 56

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