which ordered triple is a solution of this system 2x+y-z=7
-x-2y+4z=-15
x+2y-5z=17

Fraction 3/2 squared in fraction form is 9/4.

A fraction represents a part of a whole.

Given,

The fraction is 3/2

In the given fraction the numerator is three and denominator is 2

Three by two which is a improper fraction

We have to square 3/2

Three by Two whole square

(3/2)²

Three square by two square

3²/2²

Nine by four

9/4

Hence fraction 3/2 squared in fraction form is 9/4.

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The dimension of rectangle : 6 and 12 units

                                  square= 9 units

Perimeter is the distance around the edge of a shape.

Given:

let the width of rectangle be x.

length= 2x

let the side of square is y units.

Perimeter of rectangle = Perimeter of square

and, Area of square= Area of rectangle + 9

First, Perimeter of square= 4* side

                                           = 4y units

Perimeter of rectangle,

=2(l+b)

=2(2x+x)

=6x units

Since, Perimeter of rectangle = Perimeter of square

6x=4y

3x=2y

Now, Area of square= Area of rectangle +9

                           y²= x*2x+9

                          y²= 2x²+9

                          y²= 2(2y/3)²+9

                          y²= 8y²/9+9

                         1/9 y²= 9

                             y²=81

                            y=±9

So, x=2y/3= 2*9/3

      x= 6

Hence, dimension of rectangle is 6 and 12.

            dimension of square is 9 units.

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Answer:

the correct answer is (-2,5)

Step-by-step explanation:

you multiply 1/2 by -4 to get the x value

To find the corresponding point on the function f(2x) given a point on the original function f(x), simply multiply the x-coordinate by 2. In this case, the corresponding point is (-8,5).

Given: Point (-4,5) is on the graph of f(x).

To find: Corresponding point for the function f(2x).

Solution:

Answer:

The exact approximate solution is x=-3.              

Step-by-step explanation:

Given : Expression [tex]2^x=3^{x+1}[/tex]

To find : What are the exact approximate solutions?

Solution :

Step 1 - Write the expression

[tex]2^x=3^{x+1}[/tex]

Step 2 - Taking log both side,

[tex]\log(2^x)=\log(3^{x+1})[/tex]

Step 3 - Applying logarithmic property, [tex]\log a^x=x\log a[/tex]

[tex]x\log(2)=(x+1)\log(3)[/tex]

Step 4 - Solve

[tex]x(\log(2)-\log(3))=\log(3)[/tex]

[tex]x=\frac{\log(3)}{(\log(2)-\log(3))}[/tex]

[tex]x=\frac{\log(3)}{\log(\frac{2}{3})}[/tex]

[tex]x=\frac{0.477}{-0.176}[/tex]

[tex]x=-2.710\approx -3[/tex]

Therefore, The exact approximate solution is x=-3.

Answer:

D edge

Step-by-step explanation:

Yes, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

A fraction is defined as a numerical representation of a part of a whole that represents a rational number.

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

We have been given two numbers as

5.75 and 5 8/12

To determine the value 5.75 is greater than or less than 5 8/12

We have to convert the fraction 5 8/12 into the decimal,

⇒ 5 8/12

⇒ (60 + 8)/12

⇒ (68)/12

Apply the division operation,

⇒ 5.67

Therefore, 5.75 is greater than 5 8/12 because 5 8/12 is equal to 5.67 which is less than 5.75.

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The left bottom sector will be the next shape that is going to be shaded.

Given that,
Five circles in a row. Each circle is divided into 4 equal-sized sectors.
In the first circle, the top left sector is shaded.
In the second circle, the bottom left sector is shaded.
In the third circle, the bottom right sector is shaded.
In the fourth circle, the top right sector is shaded.
In the fifth circle, t the bottom right sectoris shaded.
Which shape was most likely her conjecture for the next shape is to be determined.

Fraction is defined as the number of compositions that constitutes the Whole.

Here,
Let assign a number of shading to the various sector of the circle,
1 =  the top left sector
2 =  the bottom left sector
3 =  the bottom right sector
4 =  the bottom right sector

Now,
Series of shading the sector of a circle,
1, 2, 3, 4, 3, 2,1
We need to find what is the 6th conjecture
at 6th = 2
2 =  the bottom left sector

Thus, the left bottom sector will be the next shape that is going to be shaded.

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Daniel will pay $4,800 in taxes for the year by applying a 15% tax rate to his $32,000 income.

To calculate the amount of income tax Daniel will pay on his $32,000 income, we will apply the 15% tax rate that corresponds to the income bracket provided in the reference material. Here's how the calculation is done:

Therefore, Daniel will pay $4,800 in taxes for the year.

To find the number in question, an equation is set up and solved, resulting in the number 12, which satisfies the given conditions where 75% of the number added to 6 equals 3 more than the number itself.

The question asks to find a number such that when 75% of it is added to 6, the result is 3 more than the number itself. To find this number, we can set up an equation: Let the number be represented by x. So, we have 0.75x + 6 = x + 3. To solve for x, we subtract 0.75x from both sides of the equation to get 6 = 0.25x + 3. Next, we subtract 3 from both sides to get 3 = 0.25x. Finally, dividing both sides by 0.25 gives us x = 12. Therefore, the number we are looking for is 12

Answer: 8

Step-by-step explanation:[tex]\sqrt[4]{4096}[/tex]

We need to factor this, so

[tex]4096|2\\2048|2\\1024|2\\512|2\\256|2\\128|2\\64|2\\32|2\\16|2\\8|2\\4|2\\2|2\\1[/tex]

[tex]4096 = 2^{12}[/tex]

We have to remember that [tex]x^{n+m}=x^{n}.x^{m}[/tex]

This way, we have [tex]\sqrt[4]{4096}=\sqrt[4]{2^{12}} = \sqrt[4]{2^{4}.2^{4}.2^{4}}  = 2.2.2=8[/tex]

Answer:d

Step-by-step explanation:

Answer:

6.8,6.827,6.86,6.9

Step-by-step explanation:I hope it helps