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jenyasd209 [6]
3 years ago
8

A student is attempting to factor a polynomial. Sample mathematical work is shown below. Which statement best applies to the sam

ple mathematical work?
Given 3x + 6, the factors of the first term are 3 and x, and the factors of the second term are 1, 2, 3, and 6. Thus, the greatest common factor is 3. Dividing through by the greatest common factor, I get x + 3. Thus, the factored polynomial is 3(x + 3).
Mathematics
1 answer:
Vladimir [108]3 years ago
4 0
The choices are:

<span>A. The student identified the greatest common factor incorrectly.
B. The student incorrectly divided each term by the greatest common factor.
C. The student failed to simplify the expression.
D. The mathematical work shown is correct.</span>

I think the correct answer from the choices is option D. The mathematical work shown is correct. Hope this answers the question. Have a nice day.
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stira [4]

Answer:

<h3>Length = 12 ft</h3>

Width = \frac{7}{2} ft

Step-by-step explanation:

Given,

Area of rectangle = 42 \:  {ft}^{2}

Width = X

Length = 2x + 5

Now,

x(2x + 5) = 42

2 {x}^{2}  + 5x   = 42

2 {x}^{2}  + 5x - 42 = 0

2 {x}^{2}  + 12x - 7x - 42 = 0

2x(x + 6) - 7(x + 6) = 0

(2x  - 7)(x + 6) = 0

Either

2x - 7 = 0

2x = 0 + 7

2x = 7

x =  \frac{7}{2}

Or,

x + 6 = 0

x = 0 - 6

x =  - 6

Negative value can't be taken.

So, width = \frac{7}{2} ft

Again,

Finding the value of length,

Length = 2x + 5

2 \times  \frac{7}{2}  + 5

7 + 5

12

Length = 12 ft

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3 years ago
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(-9,-2) and (1,3) <br> is y-3=1/2(x-1)
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Answer:

(1,3) is a solution.

Step-by-step explanation:

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The answer is 306.......
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The number of kilograms of water in a human body varies directly as the mass of the body. A 72 kg person contains 48 kg of water
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Step-by-step explanation:

N=km

72=k×48

72=48k

k=72/48

k=1.5

N=1.5m

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Reptile [31]

Answer:

Exactly two distinct zeros

Step-by-step explanation:

y = 2(x-1) (x + 4)

Plug y = 0

0 = 2(x-1) (x + 4)

0/2 = (x-1) (x + 4)

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