Separate 126 into two parts so that one part is 16 more than the other part. Find each part. show work

Answer:

D.

Step-by-step explanation:

[tex] \sqrt{-75} = \sqrt{-1 \times 75} = \sqrt{-1 \times 25 \times 3} = 5i\sqrt{3} [/tex]

The square root of the given number is 5i√3. Therefore, option D is the correct answer.

The square root of a number is the inverse operation of squaring a number. The square of a number is the value that is obtained when we multiply the number by itself, while the square root of a number is obtained by finding a number that when squared gives the original number.

The given number is √(-75).

Here, √(-75) can be written as √(-25×3)

= 5i√3

Therefore, option D is the correct answer.

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Answer:

n = 4

Step-by-step explanation:

3 + 4n + n = 2n +15

3 + 5n = 2n + 15

5n - 2n = 15 - 3

3n = 12

n = 12 / 3

  = 4

Answer:

N=4

Step-by-step explanation:

Simplifying

3 + 4n + n = 2n + 15

Combine like terms: 4n + n = 5n

3 + 5n = 2n + 15

Reorder the terms:

3 + 5n = 15 + 2n

Solving

3 + 5n = 15 + 2n

Solving for variable 'n'.

Move all terms containing n to the left, all other terms to the right.

Add '-2n' to each side of the equation.

3 + 5n + -2n = 15 + 2n + -2n

Combine like terms: 5n + -2n = 3n

3 + 3n = 15 + 2n + -2n

Combine like terms: 2n + -2n = 0

3 + 3n = 15 + 0

3 + 3n = 15

Add '-3' to each side of the equation.

3 + -3 + 3n = 15 + -3

Combine like terms: 3 + -3 = 0

0 + 3n = 15 + -3

3n = 15 + -3

Combine like terms: 15 + -3 = 12

3n = 12

Divide each side by '3'.

n = 4

Simplifying

n = 4

Take a look at the image below.

Answer:

Division property of equality

Step-by-step explanation:

What she did was ;

[tex]\frac{-3x}{-3} =\frac{3}{-3} \\\\x =-1[/tex]

Answer: 5

Step-by-step explanation:

f(x)=3-x

f(-2)=3-(-2)

f(-2)=3+2

f(-2)=5

Hope this helps!! :)

Please let me know if you have any question

Answers:

[tex]\huge \boxed{T= \frac{P V}{n R} } \\ \\ \\ \\ \huge \boxed{W= \displaystyle \frac{1000C }{tc}}[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]P \cdot V = n \cdot R \cdot T[/tex]

Dividing both sides by n · R:

[tex]\displaystyle \frac{P \cdot V}{n \cdot R} =T[/tex]

[tex]\displaystyle C=\frac{Wtc }{1000}[/tex]

Multiplying both sides by 1000:

[tex]1000C=Wtc[/tex]

Dividing both sides by tc:

[tex]\displaystyle \frac{1000C }{tc}=W[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

Data Set 1:

Mean= 5.73

Median= 5

Shape of distribution: skewed right

Data Set 2:

Mean: 5.27

Median: 6

Shape of distribution: Skewed left

Step-by-step explanation: Edmentum

The mean of Data set 1 is approximately 5.727 and the median is 5.

The mean of Data set 2 is approximately 5.273 and the median is 6.

The median is defined as the value range. To get it, arrange the numbers in ascending order from smallest to largest, then hide one number on either end until you reach the center.

For Data set 1:

The sum of all values in the dataset is:

5 + 8 + 9 + 6 + 3 + 2 + 10 + 8 + 5 + 4 + 3 = 63

The number of values in the dataset is 11.

The mean of the dataset is:

63 / 11 = 5.727 approx.

Sort the values in ascending order:

2, 3, 3, 4, 5, 5, 6, 8, 8, 9, 10

Since there are 11 values, the median is the middle value, which is 5.

Therefore, the mean of Data set 1 is approximately 5.727 and the median is 5.

The distribution of the dataset seems to be slightly skewed to the right.

For Data set 2:

The sum of all values in the dataset is:

8 + 7 + 3 + 2 + 4 + 6 + 2 + 7 + 4 + 9 + 6 = 58

The number of values in the dataset is 11.

The mean of the dataset is:

58 / 11 = 5.273 approx.

Sort the values in ascending order:

2, 2, 3, 4, 4, 6, 6, 7, 7, 8, 9

Since there are 11 values, the median is the middle value, which is 6.

Therefore, the mean of Data set 2 is approximately 5.273 and the median is 6.

The distribution of the dataset seems to be slightly skewed to the left.

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Answer: (a) [tex]A = x^{2}-7x[/tex]

              (b) x = 12 or x = -5

              (c) Length = 12cm

                   Width = 5cm

Step-by-step explanation: Area of a rectangle is calculated as:

A = length*width

(a) If length = x,

width = x - 7

Then, equation is:

A = x(x - 7)

[tex]A = x^{2} - 7x[/tex]

(b) Solving for x:

[tex]A = x^{2} - 7x[/tex]

[tex]x^{2} - 7x = 60[/tex]

[tex]x^{2} - 7x - 60=0[/tex]

Using Bhaskara to solve equation:

[tex]x = \frac{7+\sqrt{(-7)^{2}-4.1.(-60)} }{2}[/tex]

[tex]x =\frac{7+\sqrt{289} }{2}[/tex]

[tex]x =\frac{7+17}{2}[/tex]

[tex]x_{1} = \frac{7+17}{2}[/tex] = 12

[tex]x_{2}=\frac{7-17}{2}[/tex] = -5

The quadratic equation gives two values for x: x = 12 or x = -5

(c) Dimensions are positive numbers, so the value of x used is x = 12.

As length is x:

length = 12cm

Width is 7 less than length:

width = x - 7

width = 5cm

The rectangle has length of 12cm and width of 5cm.

Answer:

12x +54

Step-by-step explanation:

3x + 9(X+6) =

Distribute

3x+9x +54

12x +54

Answer:

[tex] 12x + 54[/tex]

Step-by-step explanation:

[tex]3x + 9(x + 6) \\ 3x + 9x + 54 \\ = 12x + 54[/tex]

Answer:

which way it could be (9,4) (9,-4) (13,0) (5,0)

Step-by-step explanation:

Answer:

<1 = 54

Step-by-step explanation:

< CAB = <1 + <2

We have to assume that AP is a perpendicular bisector or we cannot solve the problem.

That would mean that <1 = <2

11x+9 = 6x+6x

11x+9 = 12x

Subtract 11x from each side

9 = 12x-11x

9 =x

We want <1

<1= 6x

<1 = 6*9

<1 = 54

Answer:

The numbers are 37, 39 and 41.

Step-by-step explanation:

Let the smallest number be [tex]x\\[/tex].

Then the other numbers will be [tex]x+2, x+4[/tex] (as they are consecutive odd numbers, their difference will be 2).

As per the given statement:

LHS(Left Hand Side) : Sum of five times the smaller number and twice the larger number.

i.e. five times the smaller number = [tex]5\times x[/tex]

twice the larger number = [tex]2 \times (x+4)[/tex]

Their sum:

The Left Hand Side becomes:

[tex]5x+2(x+4)[/tex]

RHS(Right Hand Side):

33 more than six times the median number:

i.e. [tex]6\times(x+2) +33[/tex]

Equating LHS and RHS:

[tex]5x+2(x+4) = 6x+12 +33\\\Rightarrow 7x+8=6x+47\\\Rightarrow \bold{x =37}[/tex]

Therefore, the numbers are 37, 39 and 41.

Answer:

Comelia is correct.

Step-by-step explanation:

Rational numbers are those whole can be represented as a fraction.

=> Every fraction is a rational number.

Comelia Says:

All Whole Numbers are Rational Numbers

=> Example: 3 = rational number

=> 3 can be represented as a fraction

=> 30/10 = 300/100

So, Comelia's statement is correct.

Christopher Says:

All Rational Numbers are Whole Numbers

=> Example: 1/2 = Whole Number

=> 1/2 is a fraction

=> 1/2 = .5

=> .5 is not a whole number.

Whole numbers don't have numbers after the decimal point.

So, Christopher's statement is incorrect.

Answer:

3.464

Step-by-step explanation:

Answer: x −x  3  +x  2  +623x−2

​

Step-by-step explanation:

Answer:

3x^2 + 7xy + 5

Step-by-step explanation:

Answer:

5x+3y+5/2(5 over 2)

Step-by-step explanation:

Divide 10 by 2

divide 6 by 2

divide 5 by 2 and you stay at 5/2

Answer: 5x+3y+2.5

Step-by-step explanation: 10x+6y+5/2

10/2=5

6/2=3

5/2=2.5      

Answer:

y = -1

Step-by-step explanation:

1y + 14 = -4y + 9

Isolate the variable, y. Note the equal sign, what you do to one side, you do to the other. Add 4y and subtract 14 from both sides:

1y (+4y) + 14 (-14) = -4y (+4y) + 9 (-14)

1y + 4y = 9 - 14

5y = -5

Divide 5 from both sides:

(5y)/5 = (-5)/5

y = -5/5 = -1

-1 is your answer for y.

~

Answer:

62.5is what I got but i think you round it

Step-by-step explanation:

Answer:

[tex]g(x)=2\,|x-5|[/tex]

Step-by-step explanation:

Recall that a horizontal translation (shift) in 3 units to the right involves directly subtracting 3 from the variable x (horizontal axis variable) , and that moving the function up 5 units involves adding to the whole function 5 units. That is:

[tex]g(x)=2\,|x-3-2|- 5+ 5\\g(x)=2\,|x-5|+0\\g(x)=2\,|x-5|[/tex]

Answer:

y = 17.5

Step-by-step explanation:

y is directly proportional to x means that

y = k.x

when y=5, x=2 --> k = y/x = 5/2

when x=7

y = k.x = 5/2 . 7 = 35/2 = 17.5

If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5

A ratio is an ordered pair of numbers a and b, written a / b where b does not equal 0.

Given that  y is directly proportional to x

y = 5 when x = 2

We need to find the value of y when x is 7

To find the value of y when x is 7 we have to construct a proportional formula as below

2/5=7/y

Apply cross multiplication

2y=35

Divide both sides by 2

y=35/2

y=17.5

Hence, If y is directly proportional to x and y = 5 when x = 2 the value of y is 17.5

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Answer:

Domain is all values of X or (-∞,∞)

Range is all the possible values of Y. Since it goes up to 3, and then it goes down, it's all values less than or equal to y, or (-∞,3] or y ≤ 3 (depending on how you need to enter the response.

Step-by-step explanation:

Answer:

D

Step-by-step explanation: 2 x square root of 2 is 2.8284.......

Is there an answer key?

Answer:

3.11111111

Step-by-step explanation:

solved all the equations and simplified the original problem. The answer for the third one was the same as the original problem.

Answer:

g(-6)=-13

Step-by-step explanation:

[tex]g(x)=3x+5\\\\x=-6\\\\g(-6)=3(-6)+5\\\\g(-6)=-18+5\\\\g(-6)=-13[/tex]

when the problem says find g(120) and they give you g(x) you just have to put instead of x put 120

so in this case instead of x we put - 6

Answer:

0

Step-by-step explanation:

So we have the function:

[tex]p(x)=(x-1)(x+1)[/tex]

To find p(1), substitute x for 1:

[tex]p(1)=((1)-1)((1)+1)\\[/tex]

Simplify:

[tex]p(1)=(0)(2)\\p(1)=0[/tex]

Thus, p(1) is 0.

Answer:

129 is yr ANSWER........

Answer:

[tex]\huge \boxed{\mathrm{129\° }}[/tex]

Step-by-step explanation:

Adjacent angles in a parallelogram add up to 180 degrees.

[tex]\mathrm{m \angle A + m \angle B=180}[/tex]

Solving for [tex]\mathrm{m \angle B}[/tex].

[tex]\mathrm{m \angle B=180-m \angle A}[/tex]

[tex]\mathrm{m \angle B}=180-51[/tex]

[tex]\mathrm{m \angle B=129}[/tex]

Answer:

a, c, d, e could all be used to describe this

Step-by-step explanation:

If a plane is defending it is so many feet from the ground and feet are in whole numbers. integers, rational numbers, real numbers, and whole numbers are all whole

Answer:

CBE = 112.5 degrees

Answer:

Max is 9 feet above Brett.

Step-by-step explanation:

If you subtract how far Max is below the surface to how far Brett is below the surface you find the difference of how much more above Brett Max is.

This would be the mathematical process:

34-25=9

Max is 9 feet above Brett.

Arithmetic operations can also be specified by adding, subtracting, dividing, and multiplying built-in functions.

The operator that performs the arithmetic operation is called the arithmetic operator.

Operators which let do a basic mathematical calculation

+ Addition operation: Adds values on either side of the operator.

For example 4 + 2 = 6

- Subtraction operation: Subtracts right-hand operand from the left-hand operand.

for example 4 -2 = 2

* Multiplication operation: Multiplies values on either side of the operator

For example 4*2 = 8

Given that Brett is 34 feet below the surface and Max is 25 feet below the surface.

Max is more than twice as deep below the surface as Brett,

Thus we can determine this difference by subtracting Max's depth from Brett's.

The mathematical solution would be as follows:

⇒ 34 - 25

⇒ 9

Hence, Max is 9 feet above Brett.

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