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Kazeer [188]
3 years ago
5

Complete the synthetic division problem below. What is the quotient in polynomial form?

Mathematics
2 answers:
Naily [24]3 years ago
7 0

Answer:

C

Step-by-step explanation:

dmitriy555 [2]3 years ago
7 0

Answer: OPTION C

Step-by-step explanation:

You need to follow these steps:

- Carry the number 1 down and multiply it by the number 2.

- Place the product obtained above the horizontal line, below the number 5 and add them.

- Put the sum below the horizontal line.

- Multiply this sum by the number 2.

- Place the product obtained above the horizontal line, below the number -14 and add them.

Then:

2\ |\ 1\ \ 5\ -14\\\\.\ \ |\ \ \ \ 2\ \ \ 14\\------\\.\ \ \ 1\ \ \ 7\ \ 0

Therefore, the quotient in polynomial form is:

x+7

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One is negative 4 and one is positive 2
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Which expression is equivalent €2x5/18? Assume x>0.
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Answer:

Which expression is equivalent €2x5/18? Assume x>0.

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EXPLAIN YOURSELF

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2 years ago
An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation ℎ(
maw [93]
  1. The irrigation system is positioned 9.5 feet above the ground to start.
  2. The spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.
  3. The spray reaches all the way to the ground at about 10.87 feet away​

<h3>How to determine the position?</h3>

Since the height (feet) of the spray of water is given by this equation h(x) = -x² + 10x + 9.5, we can logically deduce that the irrigation system is positioned 9.5 feet above the ground to start.

<h3>How to determine the maximum height?</h3>

For any quadratic equation with a parabolic curve, the axis of symmetry is given by:

Xmax = -b/2a

Xmax = -10/2(-1)

Xmax = 5.

Thus, the maximum height on the vertical axis is given by:

h(x) = -x² + 10x + 9.5

h(5) = -(5)² + 10(5) + 9.5

h(5) = -25 + 50 + 9.5

h(5) = 34.5 feet.

Therefore, the spray reaches a maximum height of <u>84.5 feet</u> at a horizontal distance of <u>5 feet</u> away from the sprinkler head.

Also, the spray reaches all the way to the ground at about:

Maximum distance = √34.5 + 5

Maximum distance = 10.87 feet.

Read more on maximum height here: brainly.com/question/24288300

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<u>Complete Question:</u>

An irrigation system (sprinkler) has a parabolic pattern. The height, in feet, of the spray of water is given by the equation h(x) = -x² + 10x + 9.5, where x is the number of feet away from the sprinkler head (along the ground) the spray is.

1. The irrigation system is positioned____ feet above the ground to start.

2. The spray reaches a maximum height of ____feet at a horizontal distance of feet away from the sprinkler head.

3. The spray reaches all the way to the ground at about_____ feet away​

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Dime novels, known in nineteenth-century England
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Correct option is A. Dime novels, known in nineteenth-century England

as "penny dreadfuls," flourished because increased mechanization of printing and increased literacy rates made production of large numbers of these books profitable.

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Which point gives the vertex of ƒ(x) = –x2 + 4x – 3?
Dmitriy789 [7]

Answer:

The vertex is (2,1)

Step-by-step explanation:

ƒ(x) = –x^2 + 4x – 3

Factor out the negative

   = -(x^2 -4x+3)

 Factor

What 2 numbers multiply to +3 and add to -4

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-3+-1 = -4

f(x) =  -( x-3)(x-1)

Find the zeros

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x=3            x=1

The x value of the vertex is 1/2 way between the two zeros

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To find the y value, substitute x=2 in

f(2) =  -( 2-3)(2-1)

       =-(-1)(1) = 1

The vertex is (2,1)

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