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Grace [21]
3 years ago
12

Divide using synthetic division: (3x^3+2x^2-32x+2)÷(x-3)

Mathematics
1 answer:
zubka84 [21]3 years ago
6 0
3x^3+2x^2-32x+2                |  x-3
                                             -----------------
-3X^3+9x^2                            3x^2 +11x+1
-------------------------
/         11x^2-32x+2
          -11x^2+33x
          ------------------
           /          x+2
                    -x+3
                    -------
                      /  5
⇒ (3 x^3+2X^2-32x+2) : (x-3)= 3x^2+11x+1  rest 5

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Find the average rate of change for the given function from x = 1 to x = 2.
Nadusha1986 [10]

Answer:

2

Step-by-step explanation:

The average rate of change from x=1 to x=2 is the same as finding the slope of a line at x=1 and x=2.

So we are going to need to corresponding y coordinates.

What y corresponds to x=1? y=3

What y corresponds to x=2? y=5

So we have the ordered pairs (1,3) and (2,5).

Line the points up vertically and subtract vertically then put 2nd difference over 1st difference.

(2 , 5)

-(1  , 3)

-----------

1      2

The average rate of change is 2/1 or just 2.

Now since we were asked to find the average rate of change given the function was a line, it really didn't matter what two points you used on that line.

7 0
3 years ago
Read 2 more answers
Solution set of 5/11x+1/3=3/7-6/11x+3/7
kirill115 [55]

\frac{5}{11x}  +  \frac{1}{3}  =  \frac{3}{7}  -  \frac{6}{11x}  +  \frac{3}{7}  \\  \frac{11}{11x}  =  \frac{6}{7}  -  \frac{1}{3}  \\  \frac{1}{x}  =  \frac{11}{21}  \\ x =  \frac{21}{11}  = 1 \frac{10}{11}

6 0
3 years ago
Scenario 3: Ms. Whiteleather's bookshelf has a set of 16 books
Blizzard [7]

16, if there’s no space left and each book is 1 inch wide any number times one is itself, 16(books)x1(inches)=16

7 0
3 years ago
Find the volume of the triangular prism
Serhud [2]

Answer:

The volume of the triangular prism would be 210.

Step-by-step explanation:

Formula:

Volume of a triangular prism = (1/2) x Base area x Height

or

V = 1/2 x B x H

Find the Base area = l x w

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V = (1/2) x (70) x 6

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5 0
3 years ago
Joan Has 2 Silimar Rectangular-Shaped Pieces That She Is Using For Her Quilt. One Has Width 4 Inches And Length 6 Inches And The
otez555 [7]

Answer:

The answer to your question is: 30 in

Step-by-step explanation:

Data

1 piece

Width = 4 in

Length = 6 in

2 piece

Width = 6 inches

Proportions

                               4 : 6 :: 6 : x

                                x = (6 x 6) / 4

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Perimeter = 2(base) + 2(height)

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                 = 30 in

                     

4 0
3 years ago
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