In AHIJ, j = 33 cm, ZH=148º and ZI=21°. Find the length of i, to the nearest
centimeter

Answer:

12 girls

36 boys

Step-by-step explanation:

Answer:12 girls

Step-by-step explanation:

3 Shares boys (Due to it being 3 times more) 1 Share girls

3 Shares boys + 1 Share girls= 4 Shares

48 / 4 Shares = 12

Girls are 1/4 of the 48

so there are 12 girls

Answer:

13%

Step-by-step explanation:

Subtract 15 from 17 to find the increase -

17 - 15 = 2

Divide 2 by the original friend amount -

2/15 = 0.133

Multiply 0.133 by 100 to find the percent -

13.3

Round to the nearest percent:

13% increase

Step-by-step explanation:

Step 1 :Equation at the end of step 1

 (((x3) +  7x2) +  4x) -  12

Step 2 :Checking for a perfect cube

2.1    x3+7x2+4x-12  is not a perfect cube

Trying to factor by pulling out :

2.2      Factoring:  x3+7x2+4x-12

Thoughtfully split the expression at hand into groups, each group having two terms :

Group 1:  x3+7x2

Group 2:  4x-12

Pull out from each group separately :

Group 1:   (x+7) • (x2)

Group 2:   (x-3) • (4)

Bad news !! Factoring by pulling out fails :

The groups have no common factor and can not be added up to form a multiplication.

Polynomial Roots Calculator :

2.3    Find roots (zeroes) of :       F(x) = x3+7x2+4x-12

Polynomial Roots Calculator is a set of methods aimed at finding values of  x  for which   F(x)=0  

Rational Roots Test is one of the above mentioned tools. It would only find Rational Roots that is numbers  x  which can be expressed as the quotient of two integers

The Rational Root Theorem states that if a polynomial zeroes for a rational number  P/Q   then  P  is a factor of the Trailing Constant and  Q  is a factor of the Leading Coefficient

In this case, the Leading Coefficient is  1  and the Trailing Constant is  -12.

The factor(s) are:

of the Leading Coefficient :  1

of the Trailing Constant :  1 ,2 ,3 ,4 ,6 ,12

Let us test ....

  P    Q    P/Q    F(P/Q)     Divisor

     -1       1        -1.00        -10.00    

     -2       1        -2.00        0.00      x+2

     -3       1        -3.00        12.00    

     -4       1        -4.00        20.00    

     -6       1        -6.00        0.00      x+6

     -12       1       -12.00        -780.00    

     1       1        1.00        0.00      x-1

     2       1        2.00        32.00    

     3       1        3.00        90.00    

     4       1        4.00        180.00    

     6       1        6.00        480.00    

     12       1        12.00        2772.00    

The Factor Theorem states that if P/Q is root of a polynomial then this polynomial can be divided by q*x-p Note that q and p originate from P/Q reduced to its lowest terms

In our case this means that

  x3+7x2+4x-12

can be divided by 3 different polynomials,including by  x-1

Polynomial Long Division :

2.4    Polynomial Long Division

Dividing :  x3+7x2+4x-12

                             ("Dividend")

By         :    x-1    ("Divisor")

dividend     x3  +  7x2  +  4x  -  12

- divisor  * x2     x3  -  x2        

remainder         8x2  +  4x  -  12

- divisor  * 8x1         8x2  -  8x    

remainder             12x  -  12

- divisor  * 12x0             12x  -  12

remainder                0

Quotient :  x2+8x+12  Remainder:  0

Trying to factor by splitting the middle term

2.5     Factoring  x2+8x+12

The first term is,  x2  its coefficient is  1 .

The middle term is,  +8x  its coefficient is  8 .

The last term, "the constant", is  +12

Step-1 : Multiply the coefficient of the first term by the constant   1 • 12 = 12

Step-2 : Find two factors of  12  whose sum equals the coefficient of the middle term, which is   8 .

     -12    +    -1    =    -13

     -6    +    -2    =    -8

     -4    +    -3    =    -7

     -3    +    -4    =    -7

     -2    +    -6    =    -8

     -1    +    -12    =    -13

     1    +    12    =    13

     2    +    6    =    8    That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above,  2  and  6

                    x2 + 2x + 6x + 12

Step-4 : Add up the first 2 terms, pulling out like factors :

                   x • (x+2)

             Add up the last 2 terms, pulling out common factors :

                   6 • (x+2)

Step-5 : Add up the four terms of step 4 :

                   (x+6)  •  (x+2)

            Which is the desired factorization

Final result :

 (x + 6) • (x + 2) • (x - 1)

Answer:

A

Step-by-step explanation:

Answer:

A

Step-by-step explanation:

3m+8=20

3m=20-8

3m=12

m=4

Answer: m∠1 = 90°

Step-by-step explanation:

The answer to this is C I think, I'm usually always correct so trust me k?

Answer:

y = 4/7 - 4

Step-by-step explanation:

Slope = (-4-0) / (0 - 7) = -4/-7 = 4/7

y-intercept: -4 - (4/7)(0) = -4

Answer:

C. y = | x – 5.5 |

Step-by-step explanation:

y = f(x) + n - moves the graph n units up

y = f(x) - n - moves the graph n units down

y = f(x + n) - moves the graph n units to the left

y = f(x - n) - moves the graph n units to the right

5.5 units to the right

y = f(x - 5.5) = |x - 5.5|

...................................................................................................................................................

Answer:

the marked down price is 56.95

Step-by-step explanation:

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

The + inside of an absolute value equation really means -.

So there will be a horizontal shift left by 10.5 units.

Answer:

D. y = | x + 10.5 |

Step-by-step explanation:

We are given that,

The parent function is .

Now, the parent function is shifted 10.5 units to the left.

Since, shift of a function f(x) by 'k' units to the left changes the function to f(x+k).

So, the new function is given by .

Hence, option D is correct.

Answer:

You're correct

Step-by-step explanation:

Have a good day :)

Answer:

[tex]\orange{\rule{40pt}{555555pt}} \green{\rule{40pt}{555555pt}} \blue{\rule{40pt}{555555pt}} \red{\rule{40pt}{555555pt}}\pink{\rule{40pt}{555555pt}}\yellow{\rule{40pt}{555555pt}}[/tex]

Reflect over the y axis; dilate by a scale factor of 2.

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

Explanation:

Let's focus on the bottom-most points of each rhombus. For rhombus A on the left, that point in question is (-3,1). For rhombus B, that corresponding lowest point is (6,2).

If we were to reflect rhombus A over the y axis, then (-3,1) would move to (3,1). Simply swap the sign of the x coordinate while keeping the y coordinate the same. Now compare (3,1) to (6,2). Notice that we can multiply each coordinate of (3,1) by the scale factor 2 so that we jump to (6,2)

[tex](3,1) \stackrel{\text{mult by 2}}{\longrightarrow} (6,2)[/tex]

This "multiply by 2" operation is done to each point of the reflected blue rhombus so that we end up with the green rhombus after all is said and done. Also, this trick of multiplying the coordinates by the scale factor only works if the center of dilation is the origin.

In short, we do two things:

which allows us to go from blue (rhombus A) to green (rhombus B)

Answer:

The process standard deviation is 0.14, and the process control is set at plus or minus 2.4 standard deviations. Units with weights less than 10.664  

Step-by-step explanation:

^

Step-by-step explanation:

x > -1

x = {0,1,2,...}

[tex] \lang -1,+\infty \rang[/tex]

Answer:

acd

Step-by-step explanation:

Answer:3.13/1

Step-by-step explanation:

Answer:

purple to blue -   5:8

I think you meant green is red

purple to red -     5:6

Step-by-step explanation:

Answer:

Step-by-step explanation:

ax² + bx + c = y

x² + 5x – 21 = 0

First make sure the (a) term = 1... It is.

Get (c) to zero or blank by adding or subtracting as needed.

x² + 5x – 21 + 21 = 0 + 21

x² + 5x       = 21

Add the square of half of the b term to each side

x² + 5x + (5/2)² = 21 + (5/2)²

x² + 5x + (5/2)² = 27.25

rewrite the left side as a square

(x + 2.5)² = 27.25

square root of each side

x + 2.5 = ±√27.25

isolate x

x = -2.5 ±√(27.25)

x ≈ 2.72 or -7.72

Answer:

[tex]\frac{25}{4}[/tex] = 6.25

Step-by-step explanation:

x² + 5x - 21 = 0 ( add 21 to both sides )

x² + 5x = 21

To complete the square

add ( half the coefficient of the x- term )² to both sides

x² + 2([tex]\frac{5}{2}[/tex] )x + [tex]\frac{25}{4}[/tex] = 21 + [tex]\frac{25}{4}[/tex]

(x + [tex]\frac{5}{2}[/tex] )² = [tex]\frac{109}{4}[/tex]

Answer:

No

Step-by-step explanation:

-7+12=5

Answer:

[tex]x=7[/tex]

-7 is not a solution for [tex]x+12=19[/tex]

Step-by-step explanation:

[tex]x +12 = 19[/tex]

Subtract 12 from both sides

[tex]x = 19-12[/tex]

Subtract 12 from 19 to get 7

[tex]x = 7[/tex]

It would be -7 if it was [tex]-x+12=19[/tex]

Answer:

Step-by-step explanation:

Answer: 6 centimeter cube

Step-by-step explanation: Based on wideness.

Answer:

It is 19

Step-by-step explanation:

Answer:

70% increase

Step-by-step explanation:

51-30 = 21

21/30 = 0.7

0.7 x 100

Answer:

7x+5x-5=-5+12x

18x+5x-12x=5-5

0=0

6y-30=20+6y

6y-6y=50

0=50??

i didn't understand what's the question. i guess equations but weird answers

[tex] \sf 3a. \quad \frak{7x + 5(x - 1) = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{7x + 5x - 5 = - 5 + 12x} \\ \\ : \implies \frak{12x - \cancel5 + \cancel5=12x} \\ \\ : \implies \frak{ \cancel{12x} - \cancel{12x} = 0} \\ \\ \star \qquad \underline{ \blue{\frak{x = undefined}}}[/tex]

[tex] \sf3b. \quad \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6(y - 5) = 2(10 + 3y)} \\ \\ \dashrightarrow \frak{6y - 30= 20 + 6y} \\ \\ \dashrightarrow \frak{0y = 50} \\ \\ \star \qquad \underline{ \blue{\frak{y = undefined}}}[/tex]

Step-by-step explanation:

Surface area of what shape or solid ?

Step-by-step explanation:

x1=4,x2=3,y1=-2,y2=1

slope= (y2-y1)/(x2-x1)=(1+2)/(3-4)=-1/3

Answer:

Option D. slope = -3

Step-by-step explanation:

[tex]m=\frac{1-(-2)}{3-4} =\frac{3}{-1} =-3[/tex]

Hope this helps

Answer:

548 miles

Step-by-step explanation:

O.25m + 210 = 347

0.25m = 347 - 210

0.25m = 137

m = 137/0.25

m = 548

Câu A. Một sợi dây không giãn, khối lượng dây không đáng kể, được vắt qua một ròng rọc cố định. Hai đầu dây buộc hai vật có khối lượng tương ứng là m1 =500g và m2 <m1. Sau 2 (s) kể từ lúc bắt đầu chuyển động, hệ vật đi được 400 (cm). Tính m2 và sức căng của dây.

Step-by-step explanation:

first, find a common denominator

3/7 = 9/21

3/21 stays the same.

then, add

9/21 + 3/21 = 12/21

and if possible, simplify

12 and 21 are both divisible by 3, so divide by 3.

12/3= 4, 21/3=7

so, 3/7 + 3/21 = 4/7

Answer:

4/7

Step-by-step explanation:

The fraction 3/21 can be simplified. The 3 divides 21 which 7, so the fraction can be written as 1 /7. Now, we just have:

3/7 + 1/7

We need to add the numerators to get one fraction:

4/7