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gladu [14]
3 years ago
6

Divide x^4+3x^3-2x^2+4 by x-2which answer shows the correct synthetic division and quotient

Mathematics
1 answer:
arsen [322]3 years ago
5 0

Answer:

option-A

\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}

Step-by-step explanation:

we are given

divisor is

=x^4+3x^3-2x^2+4

Dividend is

=x-2

so, we can use synthetic division

so, we can write our expression as

\frac{x^4+3x^3-2x^2+4}{x-2}=x^3+5x^2+8x+16+\frac{36}{x-2}

so,

option-A

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Algebra
tiny-mole [99]

Answer:

  • (5, 9)
  • (5, 6)
  • (-5,-6)
  • (5, -9)
  • (-9, -5)

Step-by-step explanation:

Compare the given functions to the vertex form. Match parts to find the values of h and k. The vertex is (h, k).

Vertex form: f(x) = a(x -h)^2 +k

__

f(x) = 5(x - 5)^2 + 9; h = 5, k = 9; vertex: (5, 9)

f(x) = 9(x - 5)^2 + 6; h = 5, k = 6; vertex: (5, 6)

f(x) = 9(x + 5)^2 - 6; h = -5, k = -6; vertex: (-5, -6)

f(x) = 6(x – 5)^2 - 9; h = 5, k = -9; vertex: (5, -9)

f(x) = 6(x + 9)^2 - 5; h = -9, k = -5; vertex: (-9, -5)

4 0
3 years ago
David made a class banner out of a large rectangular piece of paper. He
spin [16.1K]

<u>Given:</u>

A triangular piece is cut out of a rectangular piece of paper to make the class banner.

<u>To find:</u>

The area of the class banner.

<u>Solution:</u>

The rectangular piece of paper is 14 inches long and 5+3=8 inches wide.

From the given diagram, the triangle has a base length of the same 8 inches and has a height of 14-11=3 inches long.

To determine the area of the banner, we subtract the area of the triangle from the area of the rectangle.

The area of a triangle = \frac{1}{2} (b)(h).

The area of the triangle = \frac{1}{2} (8)(3) = 12 square inches.

The area of a rectangle = (l)(w).

The area of the rectangle = (14)(8)= 112 square inches.

The area of the class banner = 112-12=100 square inches.

So the banner has an area of 100 square inches which is the first option.

7 0
3 years ago
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timama [110]

Answer:

The blue point will be at (4, 3)

Step-by-step explanation:

Numbers inside the parenthases only affect x, but are revered. If it is -4, move right 4. lf it is 4, move left 4.

Numbers after the patentheses affect the movement of y. When the point is at (4, 0), move up 3.

8 0
4 years ago
Find the volume of the rectangle prism shown below. 3cm 7cm 5cm
Lelechka [254]
105 cubic centimeters
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4 years ago
A tube of toothpaste weights about 1 pound.Ben's mother bought five tubes.how many ounces did the tubes of toothpaste weight in
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80 oz .. One pound is 16 oz if there is 5 pounds then you just multiply 16x5 and get 80 ounces
3 0
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