Your friend says that in the number 45,951, one 5 is 10 times as great as the other 5. Is your friend correct? Expain.

Answer: x = {-1, -3, 2}

Step-by-step explanation:

x³ + 2x² - 5x - 6 = 0

Use the rational root theorem to find the possible roots:  ±1, ±2, ±3, ±6

Use Long division, Synthetic division, or plug them into the equation to see which root(s) work (result in a remainder of zero).

I will use Synthetic division.  Let's try x = 1

1 |  1    2    -5     -6

  |  ↓    1      3     -2      

     1     3    -2    -8   ← remainder ≠ 0 so x = 1 is NOT a root

 Let's try x = -1

- 1 |  1     2    -5    -6

   |  ↓    -1     -1     6      

      1     1     -6     0   ← remainder = 0 so x = -1 is a root!

The coefficients of the reduced polynomial are: 1, 1, -6  -->   x² + x - 6

Factor: x² + x - 6

          (x + 3)(x - 2)

Set those factors equal to zero to solve for x:

x + 3 = 0   --> x = -3

x - 2 = 0    --> x = 2

Using Synthetic Division and Factoring the reduced polynomial, we found

x = -1, -3, and 2

Answer:

Step-by-step explanation:

3

Answer:

Ф = 66.2°

Step-by-step explanation:

The formula for work as

W = Fd cos⁡(Ф)

cos⁡(Ф) = W / Fd

Ф = cos^(-1)⁡〖W/Fd

Ф = cos^(-1)⁡〖110/33(8.25) 〗

Ф = 66.2°

Answer:

Ф = 66.2°

Step-by-step explanation:

Answer:

Once you collect your measurements, the next step would be to analyze them to see if they support your hypothesis or not.

If you find your predictions to be inaccurate and your hypothesis was not supported, go back, make another hypothesis and redo the experiment.

Answer:

3x-6=12

3x-6=-12

x=6

x= -2

1st x = -2

2nd x = 6

Step-by-step explanation:

Answer:

x = -10.6667

Step-by-step explanation:

Solve for x:

4.5 (8 - x) + 36 = 100 - 2.5 (3 x + 24)

4.5 (8 - x) = 36 - 4.5 x:

36 - 4.5 x + 36 = 100 - 2.5 (3 x + 24)

Grouping like terms, -4.5 x + 36 + 36 = (36 + 36) - 4.5 x:

(36 + 36) - 4.5 x = 100 - 2.5 (3 x + 24)

36 + 36 = 72:

72 - 4.5 x = 100 - 2.5 (3 x + 24)

-2.5 (3 x + 24) = -7.5 x - 60:

72 - 4.5 x = -7.5 x - 60 + 100

Grouping like terms, -7.5 x - 60 + 100 = (100 - 60) - 7.5 x:

72 - 4.5 x = (100 - 60) - 7.5 x

100 - 60 = 40:

72 - 4.5 x = 40 - 7.5 x

Add 7.5 x to both sides:

7.5 x - 4.5 x + 72 = (7.5 x - 7.5 x) + 40

7.5 x - 7.5 x = 0:

7.5 x - 4.5 x + 72 = 40

Grouping like terms, 7.5 x - 4.5 x + 72 = (-4.5 x + 7.5 x) + 72:

(-4.5 x + 7.5 x) + 72 = 40

7.5 x - 4.5 x = 3 x:

3 x + 72 = 40

Subtract 72 from both sides:

3 x + (72 - 72) = 40 - 72

72 - 72 = 0:

3 x = 40 - 72

40 - 72 = -32:

3 x = -32

Divide both sides of 3 x = -32 by 3:

(3 x)/3 = (-32)/3

3/3 = 1:

x = (-32)/3

(-32)/3 = -10.6667:

Answer: x = -10.6667

Answer:

6=a23

8=a35

2=a32

Step-by-step explanation:

Answer:

[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]

Step-by-step explanation:

Given

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]AR:AB = 1:4[/tex]

Required

Determine R

This question will be solved using line ratio formula

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex]

Where

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]m:n = AR : RB[/tex]

Since R is on A and B;

[tex]AB = AR + RB[/tex]

[tex]4 = 1 + RB[/tex]

[tex]RB = 3[/tex]

Hence;

[tex]m:n = 1 : 3[/tex]

[tex]A = (1,-1)[/tex]

[tex]B = (4,4)[/tex]

[tex]R(x,y) = (\frac{mx_2 + nx_1}{m+n},\frac{my_2+ny_1}{m + n})[/tex] becomes

[tex]R(x,y) = (\frac{1 * 4 + 3 * 1}{1+3},\frac{1 * 4 + 3 * -1}{1 + 3})[/tex]

[tex]R(x,y) = (\frac{4 + 3}{4},\frac{4 - 3}{4})[/tex]

[tex]R(x,y) = (\frac{7}{4},\frac{1}{4})[/tex]

Answer:

193 degrees

Step-by-step explanation:

you add 74 degrees + 119 degrees and that equals up to 193 degrees

Answer:

-232008

Step-by-step explanation:

Order of Operations: BPEMDAS

Step 1: Write out expression

12 x 3 x 8 + 3 + 1 - 100 x 2323

Step 2: Multiply

36 x 8 + 3 + 1 - 100 x 2323

Step 3: Multiply

288 + 3 + 1 - 100 x 2323

Step 4: Multiply

288 + 3 + 1 - 232300

Step 5: Add

291 + 1 - 232300

Step 6: Add

292 - 232300

Step 7: Subtract

-232008

Answer

-232,008 is ans of this simplification

Answer:

2

Step-by-step explanation:

Answer:

-x - 27/ 9 this is it djdjdj

The simplest form of the expression [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

Given the expression

[tex]\frac{5(x-3)-3(2x+4)}{9}[/tex]

⇒ (5x - 15 - 6x - 12) ÷ 9

⇒  (-x - 27)/9

⇒ [tex]\frac{-x-27}{9}[/tex]

Hence "The simplest form of the expression  [tex]\frac{5(x-3)-3(2x+4)}{9}[/tex] is [tex]\frac{-x-27}{9}[/tex] .

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Answer:

1/6

Step-by-step explanation:

So asuming that she didn't roll a biased die the probability of getting a three is 1/6

This is because the total outcomes are 6 and there is only one three thus the probability that she got 3 is 1/6.

HOPE THIS HELPED

Answer:100 chocolates

Step-by-step explanation:

20 chocolate in each box so 20 time 5 is 100 so 20 time 11 is 220

Answer:

[tex]= 4x-x^2\\\\[/tex]

Step-by-step explanation:

Let the number be x;

The product of 4 and the number will be;

[tex]= 4 * x\\\\= 4x[/tex]

The the square of the number is given as;

[tex]= x^2\\[/tex]

Taking the difference of both expressions above;

[tex]= 4x-x^2\\\\[/tex]

Factor out the common term:

[tex]= x(4-x)\\\\[/tex]

Hence the difference between the product of 4 and a  number and the square of the number is [tex]= 4x-x^2\\\\[/tex]

Answer:

Width = 132 feet, Length = 291 feet

Step-by-step explanation:

perimeter (P) = 846

let width(W) = x

length(L) = 159 feet more than width = 159 + W= 159 + x

P of a rectangle = 2*(L + W)

846 = 2*((159 + x) + x)

divide both side by 2

423 = (159 + x) + x

423 = 159 + 2x

rearranging

2x + 159 = 423

2x = 423 -159

2x = 264

divide both sides by 2

x = 132 feet

recall W = x and L = 159 + x

W = 132 feet

L = 159 + 132 = 291 feet

Answer:

-5

Step-by-step explanation:

Answer:

Alicia is correct because....

Step-by-step explanation:

12 - 4 = 8 + 3 = 11

Answer:

63(10)^4

Step-by-step explanation:

630 000= [tex]63(10)^4[/tex]

Answer:to be good at ratios you must simply look at the numbers and count them in the order that the question asks for

Step-by-step explanation:example 4:2 :::: ;; there are 4 : and 2 ;

Answer:

  [tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]

Step-by-step explanation:

√11 is about 3.32.

Smallest-to-largest, the numbers are ...

  [tex]-3.97621,\ -2.5,\ 2\frac{1}{4},\ \sqrt{11},\ 3.\overline{6}[/tex]

Answer:

1.27

Step-by-step explanation:

Answer:

Step-by-step explanation:

The answer is B. Because 3 multiplied by x and add it by 3 equates to y. example: (x=2) 3x2+3= y. y=9 .

The data best fit the line y = 3x+3, the correct option is B.

The equation is a statement that equates two algebraic expressions with an equal sign.

The data is given

x   y

2    9

3    12

4    15

5    18

The equation that represents the data can be found by substituting the data and checking if they satisfy the equation.

The first equation is

y = 2x +9

Substitute ( 2,9)

9 = 2 *2 +9

9 ≠ 13

The second equation is

y = 3x +3

Substitute ( 2,9)

y = 3 *2 +3

9 = 9

Substitute ( 3,12)

12 = 3 *3 +3

12 = 12

Therefore, the data best fit the line y = 3x+3, the correct option is B.

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he was at the end of the day with u and I 6so was a little bit of a joke but I 6

Step-by-step explanation:

just like that I don't think you know that I have to do that again 261and but it 1was 1is 1and 1is 1and is not 774a

Answer:

Step-by-step explanation:

4(-2x + 9) = -2(3x -7)          {use distributive rule}

4*-2x + 4*9 = -2*3x - 7*(-2)

-8x + 36 = -6x + 14

Subtract 36 from both sides

-8x + 36 - 36 = -6x + 14 -36

               -8x = -6x - 22

Add 6x to both sides

         -8x + 6x = -6x +6x - 22

                 -2x = -22

Divide both sides by (-2)

             -2x/-2 = -22/-2

            x = 11

Answer:

4/15

Step-by-step explanation:

1/5 * 4/3 = 4/15

Hope this helps and pls give me brainliest.

The solution is Option B.

The value of the equation 1/5 ÷ 3/4 is A = 4 / 15

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the equation be represented as A

Now , the value of A is

A = 1/5 ÷ 3/4   be equation (1)

On simplifying the equation , we get

A = 1/5 x 4/3

A = 4 / ( 5 x 3 )

The value of A = 4 / 15

Therefore , the value of A is 4/15

Hence , the equation is A = 4/15

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