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pychu [463]
3 years ago
7

A dance instructor wants 8 costumes to be yellow and 24 costumes to be blue. What is the ratio of blue costumes to yellow costum

es?
Mathematics
2 answers:
const2013 [10]3 years ago
8 0
The ratio of blue to yellow costumes is 24:8 and then you simplify to 3:1
Tomtit [17]3 years ago
4 0

Answer:

3:1 is the correct answer and i took the test :)

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15 – 2x=3x <br><br>the solution is x =​
garri49 [273]

Answer:

x=3

Step-by-step explanation:

15 – 2x=3x

Add 2x to each side

15 – 2x+2x=3x+2x

15 = 5x

Divide each side by 5

15/5 = 5x/5

3 =x

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2. Factor f(x) = x4 + 10x3 + 35x2 + 50x + 24 completely showing all work and steps with synthetic division. Then sketch the grap
Ira Lisetskai [31]

Solution: The factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1).

Explanation:

To find the factor form of the given polynomial fisrt find the random value of x for which the vlaue of f(x) is 0.

The value of the function f(x) is 0 for x=-1, therefore (x+1) is a factor of given function.

Use synthetic method to divide the given polynomial for by (x+1). Write coefficients of polynomial in top line and -1 on left side of the line. Write first element in bottom line then multiply it by -1 and write it in second line below the element second element and the add. The division by synthetic method is given in figure 1.

The bottom line shows the coefficients of the quotient polynomial.

So f(x)=(x+1)(x^3+9x^2+26x+24)

Similarly (x+2) is the factor of given polynomial because for x=-2 the value of parenthesis polynomial is 0.

Use synthetic method to divide the parenthesis polynomial for by (x+2). it is shown in figure 2.

So

f(x)=(x+1)(x+2)(x^2+7x+12)\\f(x)=(x+1)(x+2)(x^2+3x+4x+12)\\f(x)=(x+1)(x+2)(x(x+3)+4(x+3))\\f(x)=(x+1)(x+2)(x+3)(x+4)

Hence the factor form of the given polynomial is f(x)=(x+4)(x+3)(x+2)(x+1). The graph of the given function is given in figure 3.


4 0
3 years ago
AN SOMEONE PLEASE HELP ME SOLVE THIS!!
stepan [7]

A) Scale factor:

Divide 2 congruent sides:

24 / 36 = 0.667

From PQR to XYZ is a 0.667  (2/3 as a fraction) scale factor.

B) Volume = (1/2 x base x side) x height:

Volume = 1/2 * 36 x 48 = 864 * 15 = 12,960 cubic inches.

C) Find the height of the prism:

7776 = (1/2 * base * sides) x height

7776 = (1/2 x 36 x 48) * height

7776 = 864 * height

Height = 7776 / 864 = 9 inches.

The scale factor is 2/3, the height of XYZ = 2/3 *9 = 6 inches.

Volume of XYZ = 1/2 x 24 x 32 = 384 x 6 = 2,304 cubic inches.

3 0
3 years ago
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