PLEASE HELP! Simplify 2x^2+4xy+2y^2

The properties 1‚ 2‚ 4‚ and 5. are used

The properties used to simplify problem are 1 , 2 and 4.

A problem which is simplified is given ; (38 +677) + (-38).

What are the correct options ?

How will you represent the associative properties of addition ?

Associative properties are represented by ;  (A + B ) + C = A + ( B + C ).

As per the data given in question ;

Let's check which options are suitable.

( 38 + 677 ) + ( -38 ) = 38 + ( 677 - 38 )

(A + B ) + C = A + ( B + C )

So , this is the associative property.

677 + 0 = 677

A + 0 = A

So , this is the additive identity.

677 + [38 + (-38)]

Here ; 38 + ( -38 ) represents ;

A + (-A) = 0.

So , this is the additive inverse.

Thus ,  the properties used to simplify problem are 1 , 2 and 4.

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Answer:

126 was removed.

Step-by-step explanation:

The total before division took place was

Total = mean * 14

mean = 49

Total = 49 * 14

Total = 685

Now you subtract x from the total

685 - x

And divide by 13 [one number is missing]

(685 - x)/13

and the result = 43

(685 - x ) / 13 = 43                Multiply both sides by 13

685 - x  = 43 * 13

685 - x = 559                       Subtract 685 from both sides

- x = - 126                             Multiply by - 1

x = 126

Answer: A) -4

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Explanation:

The 3^0 in the denominator is equal to 1. Any nonzero number raised to an exponent of 0 is always 1. So this equation x^0 = 1 is true when x is nonzero.

This allows us to simplify to the equation 3^x = 1/81

Note how 81 = 3^4. Taking the reciprocal of 81 means the exponent goes from positive to negative. So 3^(-4) = 1/81. The rule is x^(-k) = 1/( x^k ). We could use logarithms to solve 3^x = 1/81.

Answer:

$25,500

Step-by-step explanation:

Its an increase of $1,500 each year

[tex]3x-1=81x\\78x=-1\\x=-\dfrac{1}{78}[/tex]

Answer:

[tex]\large \boxed{\displaystyle x=- \frac{1}{78}}[/tex]

Step-by-step explanation:

[tex]3x-1=81x[/tex]

Subtract 3x from both sides of the equation.

[tex]-1=78x[/tex]

Divide both sides of the equation by 78.

[tex]\displaystyle \frac{-1}{78} =x[/tex]

Answer:

Here,

SP with VAT = Rs. 99000

Discount = 10%

VAT = 10%

Discount Amount =?

VAT Amount = ?

We know,

SP = "100" /"100 + v% "  × SP with VAT    

 = "100" /"100 + 10 "  × 99000    

= "100" /"110 "  × 99000      

= Rs. 90000 ∴   VAT Amount = SP with VAT – SP    

= Rs. 99000 – 90000    

= Rs. 9000 Again,  MP = "100" /"100 – d% "  × SP      

=  "100" /"100 – 10 "  × 90000      

=  "100" /"90"  × 90000      

= Rs. 100000

∴   Discount Amount = MP – SP          

= Rs. 100000 – 90000          

= Rs. 10000

Step-by-step explanation:

Here is the list of all formulas on MP, Discount, SP, and VAT.

1. Discount Amount = Discount % of MP    

2. Discount % = (Discount Amount)/MP  ×100%      

3. SP = MP – Discount Amount    

4. SP = (100 - d%)/(100 )  × MP    

5. MP = 100/(100 - d% )  × SP  

 6. VAT amount = VAT percent of SP    

7. VAT percent = (VAT Amount)/SP  ×100%  

 8. SP with VAT = SP + VAT amount    

9. SP with VAT = (100 + v%)/(100 )  × SP    

10. SP = 100/(100 + v% )  × SP with VAT  

 11. MP = (100 × 100)/((100 - d%)(100 + v%))  × SP with VAT    

12. SP with VAT = ((100 - d%)(100 + v%))/(100 × 100)  × MP

Answer:

D

Step-by-step explanation:

The perimeter is the sum of the 3 sides of the triangle, that is

perimeter = 20 + 13 + 21 = 54 → D

Answer:

[tex]144\pi[/tex]

Step-by-step explanation:

To find the volume of a cone use the formula [tex]v = \pi r^2\frac{h}{3}[/tex]

When you substitute that into an equation it will be [tex]v = \pi 4^2\frac{27}{3}[/tex]

First you should evaluate the exponent making it 16

Next divide 27 and 3 which is 9

Since you don't have to multiply by 3.14 ([tex]\pi[/tex]) the equation should be ...

[tex]144\pi[/tex]

Answer:

144

Step-by-step explanation:

Answer:

$6125

Step-by-step explanation:

5000 x 3 x .075 = 1,125

5000 + 1125 = 6125

Answer:

10

Step-by-step explanation:

Square root of 100 is 10

Answer:

10

Step-by-step explanation:

The square root of 100 is written as 2√100=√100=±10.

So it is 10.  Also, 10 times 10 equals 100, so it checks out.

A square root is just two of the same numbers added together to equal a specific number.

Answer:

4ft and 3ft

Step-by-step explanation:

Real mural: 8ft by 15ft

Scale: 2ft by 5ft

Length and width of scale drawing> 8t / 2ft= 4ft (length

                                                         >15ft/ 5ft= 3ft(width)

ANSWER 4FT BY 3FT

Answer:

The salon would've made $1,240.

Step-by-step explanation:

Think of the customers as the numbers and the visits as variables. Then the equation would look something like this:

Revenue = 100(first visit) + 30(second visit) + 10(third visit)

And now, we just solve:

r = 100(10) + 30(6) + 10(6)

r = 1,000 + 180 + 60

r = $1,240

Answer:

(3/2, 0, 1)

Step-by-step explanation:

From 2x+y=3 we have => y=3-2x

From 2y-4z=-4 we have -4z=-2y-4 => z=1/2y+1 => z=1/2 (3-2x) +1 => z=5/2-x

Plug in y & z to find x

2x−y+3z=6 => 2x+(3-2x)+3(5/2-x)=6 => 2x+3-2x+15/2-3x=6 => 21/2-3x =6 => x=3/2

plug in x to find y

2x+y=3 => 2(1.5) + y =3 => y=0

plug in y to find z

2y -4z =-4 => 2(0)-4z=-4 => -4z=-4 => z=1

Answer:

[tex]1035[/tex]

Step-by-step explanation:

(63756×60)/(70×5280)

=1035

Answer: Choice D)

The function has a range of all real numbers less than or equal to 2.

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Explanation:

Let's go through the answer choices to see which are true, and which are false.

Answer:

option D

Step-by-step explanation:

THE FUNCTION HAS A RANGE OF ALL REAL NUMBERS LESS THAN OR EQUAL TO 2

Answer:

Range = maximum number - minimum number

Range = 99 - 62 = 37

Answer:

37

Step-by-step explanation:

The range is the difference between the highest number and the smallest number.

Looking at the stem and leaf plot we can identify the largest and smallest number

Largest number: 99

Smallest number: 62

If range = largest number - smallest number then range = 99 - 62 = 37

Answer:

             B.   m∠A + m∠C = m∠B + m∠D

Step-by-step explanation:

To inscribe a quadrilateral in a circle, the sums of its opposite angles must be equal (each sum of its opposite angles equals 180 °)

Answer:

gravitational attraction is based upon mass.More the mass more the force.When the object is as big as a moon it has a very less gravity.When we are talking about small objects like 2 pencils the force exists but is so weak that no noticabke movement takes place

Answer:

To notice that force, the objects have to have a big mass and be close to each others.

Generally in eveydays life, you don't notice this force since it is weak but that doesn't mean it does't exist.

If you go the space, you can notice this force since planets have big mass. If you get close to the gravitational field of a planet, you will feel a force that is pulling you toward the planet.

We conclude that the equation x = y^4 satisfies x = 256.

First, we know that:

y^4 - 256 = 0

With this equation, we can find the value of y, it will give:

y^4 = 256

Then:

y = 256^(1/4) = 4

Now if we have the equation x = y^4, we can write:

x = y^4 = 256

x = 256

We conclude that the equation x = y^4 satisfies x = 256.

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Answer:

x = 1/2

Step-by-step explanation:

3 - 2(x - 1) = 2 + 4x

3 - 2x + 2 = 2 + 4x

-2x + 5 = 2 + 4x

-2x - 4x = 2 - 5

-6x = -3

x = -3/-6

x = 1/2

Answer:

a)7, b)-40

Step-by-step explanation:

a) 5(x-1)=30

=>5x -5=30

=>5x=30+5

=>5x=35

=>x=35/5

so, x=7

b)3(x+10)-2(x-5)=0

=>3x+30-2x+10=0

=>x+40=0

so,x=-40

Answer:

the answer is 41

Step-by-step explanation:

C. 41

Step-by-step explanation:

Answer:

B. Only line B is a well-placed line of best fit.

Step-by-step explanation:

A good line of best fit is a line drawn to represent, as much as possible, all data points. As long as the data points are clustered along the line, and are not farther from each other, the line is a best fit for such data points.

Therefore, from the two lines drawn by Maggie, Line B seems to be the only well-placed line of best fit, as virtually all the data points are clustered along the line, compared to Line A. Line A only runs across 2 data points. The rest data points are scattered far apart from the line.

Therefore, the statement that best describes the placement of the line of best fit drawn by Maggie is: "B. Only line B is a well-placed line of best fit."

Answer:

Only line B

Step-by-step explanation:

Line A is too low on the graph to be best fit for the plot

Answer:

3√3

Step-by-step explanation:

to get x, we divide 6 by 2 and get 3

therefore, we multiply the short leg by √3

the answer finally equals to 3√3

Answer:

[tex]\boxed {\boxed {\sf y=3}}[/tex]

Step-by-step explanation:

We are asked to find y, a missing side in a triangle.

This triangle is special. There is a 30-degree angle and a right angle or 90 degree angle, the unlabeled angle is 60 degrees. This is a 30-60-90 triangle so the sides are always in a specific relationship.

The side across from the 30-degree angle is a, the hypotenuse is 2a, and the side across from the 60-degree angle is √3 a.

y is across from the 30 degree angle, so it is equal to a. However, we have to find a. We are given one side that measures 6. It is the hypotenuse because it is across from the right angle. Therefore, it is equal to 2a.

a is being multiplied by 2. Divide both sides by 2 to solve for a.

y is across from the 30-degree angle, so it is equal to a or 3.

We can also solve using the 3 main trigonometric functions.

y is opposite the 30-degree angle and 6 is the hypotenuse, and we will use sine.

[tex]sin \theta= \frac{opposite}{hypotenuse}[/tex]

[tex]sin (30)= \frac{y}{6}[/tex]

y is being divided by 6. The inverse operation of division is multiplication. Multiply both sides by 6 to solve for y.

[tex]6 * sin(30)= \frac{y}{6} *6[/tex]

[tex]6 * 0.5 = y[/tex]

[tex]3= y[/tex]

The missing side, y , is equal to 3.

Answer:

(4, 1)

Step-by-step explanation:

See attachment courtesy of Desmos.

Answer:

Step-by-step explanation:

14.

by pythagoras,s theorem

[tex]x=\sqrt{2^2+2^2} =\sqrt{8} =\sqrt{4 \times 2} =2\sqrt{2} \\y^2=x^2+2^2=(2\sqrt{2} )^2+2^2=8+4=12=4 \times 3\\y=2\sqrt{3}[/tex]

15.

first perpendicular=y(say)

and second perpendicular=z (say)

y²=9²+7²=81+49=130

z²=y²+5²=130+25=155

x²=z²+4²=155+16=171

x=√(171)

Answer:

t5 = 1250

Step-by-step explanation:

Each term is derived by multiplying the previous term by 2.5

t2 = t1 * 2.5

t2 = 32 * 2.5

t2 = 80

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tn = a*b^(n - 1)

t3 = 32*2.5^2

t3 = 200

That's just to test the formula. It does work.

===============

t5 = 32*2.5^(5 -1)

t5 = 32*2.5^4

t5 = 1250

Answer:

Below

Step-by-step explanation:

The domain tells you if there are any restrictions on the x's

The -5 in the function tells us that it has moved 5 units RIGHT from the original parent function. Because of this, any x coordinates have to be bigger or equal to 5!

So, the domain of this function is x >/ 5

Hope this helps!

Answer:

35

Step-by-step explanation:

3x2=6

or if x is variable :18

2x3=6

2x3=6

+5

add them all up:

18+6+6+5=35

let me know if something is confusing.